A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 12.1A, Problem 16A
To determine
To find:
Whether it is possible to construct a right triangle with all sides congruent.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
This has to be done advanced mathematics report , also give the code for this. And do not give chatgpt
Business discuss
Find the Taylor polynomial T³(×) for the function f centered at the number a.
f(x) = xe-2x
a = 0
T3(x) =
Chapter 12 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the Figure below, answer the following Point C...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - In the following kite, congruent segments are...Ch. 12.1 - If the kite in exercise 5 were concave, do the...Ch. 12.1 - a. Are all rectangles whose diagonals are 19in....Ch. 12.1 - Explain why the quadrilateral ABCD is a kite.Ch. 12.1 - To draw the perpendicular to a line l through a...Ch. 12.1 - In the following drawing a compass is used to draw...
Ch. 12.1 - Prob. 11MCCh. 12.1 - a. find examples of congruent objects. c. Find...Ch. 12.1 - Prob. 13MCCh. 12.1 - Prob. 14MCCh. 12.1 - Prob. 15MCCh. 12.1 - Squares are constructed on the sides of ABC as...Ch. 12.1 - Prove that the triangles shown below on 55 dot...Ch. 12.1 - Prob. 18MCCh. 12.1 - A student claims that all squares are congruent...Ch. 12.1 - Joel claims that the following triangles are...Ch. 12.1 - On a test, a student wrote the answer as ABCD...Ch. 12.1 - Zara claims that in spite of the fact that every...Ch. 12.1 - Prob. 1NAEPCh. 12.1 - Which two figures are congruent? a. E and H b. F...Ch. 12.1 - Prob. 3NAEPCh. 12.1A - If CATDOG, which of the following, if any, is...Ch. 12.1A - In TRI and ABC, TRAB, RIBC, and ITCA. Which angle...Ch. 12.1A - a. Name two congruent triangles in the following...Ch. 12.1A - A truss used in house construction to strengthen...Ch. 12.1A - Prob. 5ACh. 12.1A - Prob. 6ACh. 12.1A - If line l is the perpendicular bisector of AC,...Ch. 12.1A - Prob. 8ACh. 12.1A - Prob. 9ACh. 12.1A - Prob. 10ACh. 12.1A - Prob. 11ACh. 12.1A - Prob. 12ACh. 12.1A - Prob. 14ACh. 12.1A - Prob. 15ACh. 12.1A - Prob. 16ACh. 12.1A - Prob. 18ACh. 12.1A - Prob. 20ACh. 12.1B - Prob. 1ACh. 12.1B - Prob. 2ACh. 12.1B - Prob. 3ACh. 12.1B - Prob. 4ACh. 12.1B - Prove that if the convex quadrilateral ABCD has...Ch. 12.1B - Find the measure of C in the following figure.Ch. 12.1B - Given that polygon ABCD polygon EFGH, complete the...Ch. 12.1B - Prob. 8ACh. 12.1B - For each of the following, determine whether the...Ch. 12.1B - Prob. 10ACh. 12.1B - Prob. 11ACh. 12.1B - Prob. 13ACh. 12.1B - Prob. 14ACh. 12.1B - Let ABCD be a square with diagonals AC and BD...Ch. 12.1B - Prob. 19ACh. 12.2 - MATHEMATICAL CONNECTIONS a. If you know 4 parts...Ch. 12.2 - Prob. 2MCCh. 12.2 - Prob. 3MCCh. 12.2 - Prob. 4MCCh. 12.2 - Prob. 5MCCh. 12.2 - Prob. 6MCCh. 12.2 - MATHEMATICAL CONNECTIONS Use the fact that the...Ch. 12.2 - MATHEMATICAL CONNECTIONS The marked angles and a...Ch. 12.2 - Prob. 10MCCh. 12.2 - MATHEMATICAL CONNECTIONS On a square geoboard or...Ch. 12.2 - MATHEMATICAL CONNECTIONS M and N are midpoints of...Ch. 12.2 - Prob. 13MCCh. 12.2 - Prob. 14MCCh. 12.2 - MATHEMATICAL CONNECTIONS A student asks why...Ch. 12.2 - Prob. 16MCCh. 12.2 - Prob. 17MCCh. 12.2 - Prob. 18MCCh. 12.2 - In the following regular pentagon, use the...Ch. 12.2 - If possible, construct a triangle that has the...Ch. 12.2 - MATHEMATICAL CONNECTIONS Construct an equilateral...Ch. 12.2 - MATHEMATICAL CONNECTIONS For each of the following...Ch. 12.2 - Mathematical Connections Explain how to construct...Ch. 12.2 - National Assessment of Educational Progress Sara...Ch. 12.2A - Draw each of the following figures using a...Ch. 12.2A - ASSESSMENT For each of the conditions in exercise...Ch. 12.2A - ASSESSMENT For each of the following, determine...Ch. 12.2A - Prob. 4ACh. 12.2A - List congruent triangles, if any, for each of the...Ch. 12.2A - Prob. 6ACh. 12.2A - If ABCDEF and ABC is given with the information...Ch. 12.2A - Prob. 8ACh. 12.2A - Given ADEC and BDBC, Prove ABDEBC.Ch. 12.2A - Prob. 10ACh. 12.2A - Prob. 11ACh. 12.2A - Prob. 12ACh. 12.2A - ASSESSMENT Classify each of the following...Ch. 12.2A - Prob. 15ACh. 12.2A - Prob. 16ACh. 12.2A - The game of Triominoes has equilateral-triangular...Ch. 12.2A - ASSESSMENT In the rectangle ABCD shown, X and Y...Ch. 12.2A - Prob. 20ACh. 12.2A - Prob. 21ACh. 12.2A - ASSESSMENT What minimum information is sufficient...Ch. 12.2A - Prob. 24ACh. 12.2B - Assessment Draw each of the following figures...Ch. 12.2B - Prob. 3ACh. 12.2B - Prob. 4ACh. 12.2B - Prob. 6ACh. 12.2B - ASSESSMENT Given circle O in the figure below,...Ch. 12.2B - Prob. 8ACh. 12.2B - Prob. 9ACh. 12.2B - Prob. 10ACh. 12.2B - Prob. 11ACh. 12.2B - Prob. 12ACh. 12.2B - ASSESSMENT a. Draw a pentagon with all sides...Ch. 12.2B - Prob. 15ACh. 12.2B - Prob. 16ACh. 12.2B - Prob. 17ACh. 12.2B - Prob. 18ACh. 12.2B - ASSESSMENT What minimum information sufficient to...Ch. 12.2B - Prob. 21ACh. 12.2B - Prob. 22ACh. 12.3 - Mathematical Connections Draw a line l and a point...Ch. 12.3 - Prob. 2MCCh. 12.3 - Mathematical Connections Construct a circle O and...Ch. 12.3 - Mathematical Connections Place three dots, A,B and...Ch. 12.3 - Mathematical Connections Lines l and m intersect...Ch. 12.3 - Mathematical Connections Given an angle and a roll...Ch. 12.3 - Mathematical Connections If two pieces of tape of...Ch. 12.3 - MATHEMATICAL CONNECTIONS Write a sample letter...Ch. 12.3 - MATHEMATICAL CONNECTIONS A student asked if a line...Ch. 12.3 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 12.3 - Mathematical Connections In the following figure,...Ch. 12.3 - Mathematical Connections Draw ABC. Then construct...Ch. 12.3 - Mathematical Connections Given two right...Ch. 12.3 - Mathematical Connections Find the value of x.Ch. 12.3 - MATHEMATICAL CONNECTIONS Consider ABC and DEF. It...Ch. 12.3 - Mathematical Connections The quadrilaterals shown...Ch. 12.3 - Mathematical Connections In figure, congruent...Ch. 12.3 - Mathematical Connections In the figure, OP is the...Ch. 12.3A - Prob. 2ACh. 12.3A - Prob. 3ACh. 12.3A - Prob. 4ACh. 12.3A - Prob. 5ACh. 12.3A - Prob. 6ACh. 12.3A - Prob. 7ACh. 12.3A - Prob. 8ACh. 12.3A - Prob. 9ACh. 12.3A - Prob. 10ACh. 12.3A - Prob. 11ACh. 12.3A - Prob. 12ACh. 12.3A - Prob. 13ACh. 12.3A - Prob. 14ACh. 12.3A - Use compass and straightedge to construct angles...Ch. 12.3A - Construct AB close to the bottom of a blank page....Ch. 12.3A - Prob. 18ACh. 12.3A - Construct a circle. Then construct an equilateral...Ch. 12.3B - Assessment Copy line segment AB shown below and...Ch. 12.3B - Assessment Construct an obtuse triangle and the...Ch. 12.3B - Prob. 5ACh. 12.3B - Prob. 6ACh. 12.3B - Prob. 7ACh. 12.3B - Prob. 8ACh. 12.3B - Prob. 10ACh. 12.3B - Assessment In the isosceles right triangle shown,...Ch. 12.3B - Prob. 12ACh. 12.3B - ASSESSMENT Explain why any rectangle can be...Ch. 12.3B - Prob. 14ACh. 12.3B - Prob. 15ACh. 12.3B - Prob. 16ACh. 12.4 - Do you think any two cubes are similar?Ch. 12.4 - Write a description of what it takes for two...Ch. 12.4 - If two isosceles triangle have non-base angles of...Ch. 12.4 - If two right triangles have hypotenuses that are...Ch. 12.4 - Prob. 5MCCh. 12.4 - Prob. 6MCCh. 12.4 - Prob. 7MCCh. 12.4 - Prob. 8MCCh. 12.4 - Prob. 9MCCh. 12.4 - How are the SSS and SAS similarity thoerems like...Ch. 12.4 - Prob. 11MCCh. 12.4 - Prob. 12MCCh. 12.4 - Prob. 13MCCh. 12.4 - Prob. 14MCCh. 12.4 - Prob. 15MCCh. 12.4 - Prob. 16MCCh. 12.4 - Arthuro writes that ABCTRI. Betty writes that...Ch. 12.4 - Prob. 18MCCh. 12.4 - Prob. 19MCCh. 12.4 - Prob. 20MCCh. 12.4 - Prob. 21MCCh. 12.4 - A student asks whether there is an ASA similarity...Ch. 12.4 - Prob. 1NAEPCh. 12.4 - Prob. 2NAEPCh. 12.4A - Prob. 1ACh. 12.4A - Prob. 2ACh. 12.4A - Prob. 3ACh. 12.4A - Prob. 4ACh. 12.4A - Prob. 5ACh. 12.4A - Prob. 7ACh. 12.4A - Prob. 8ACh. 12.4A - Prob. 9ACh. 12.4A - Prob. 10ACh. 12.4A - Prob. 11ACh. 12.4A - A photocopy of a polygon was reduced by 80 and...Ch. 12.4A - Sketch two hexagons with corresponding sides...Ch. 12.4A - Prob. 15ACh. 12.4A - Prob. 16ACh. 12.4A - In the following figure, find the distance AB...Ch. 12.4A - Prob. 18ACh. 12.4A - Prob. 19ACh. 12.4A - a. Examine several examples of similar polygons...Ch. 12.4A - The midpoints M,N,P,Q of the sides of a...Ch. 12.4A - Prob. 22ACh. 12.4A - Prob. 23ACh. 12.4B - School pictures come in 8in.by10in., 5in.by7in....Ch. 12.4B - Prob. 2ACh. 12.4B - Prob. 4ACh. 12.4B - Prob. 5ACh. 12.4B - Prob. 9ACh. 12.4B - Prob. 12ACh. 12.4B - Prob. 13ACh. 12.4B - Prob. 14ACh. 12.4B - To find the height of a tree, a group of Girl...Ch. 12.4B - Prob. 17ACh. 12.4B - Prob. 18ACh. 12.4B - Prob. 19ACh. 12.4B - Prob. 20ACh. 12.4B - a. In the figure, ABCD is a trapezoid, M is the...Ch. 12.4B - ABCD is a convex quadrilateral and M,N,P,Q are the...Ch. 12.4B - Prob. 23ACh. 12.4B - Prob. 24ACh. 12.CR - Each of the following figures contains at least...Ch. 12.CR - Prob. 2CRCh. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - A swimming pool is shown with a rectangular patio...Ch. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Determine the vertical height of playground slide...Ch. 12.CR - Prob. 17CRCh. 12.CR - Prob. 18CRCh. 12.CR - Prob. 19CRCh. 12.CR - Prob. 20CRCh. 12.CR - Prob. 21CRCh. 12.CR - Prob. 22CRCh. 12.CR - Prob. 23CRCh. 12.CR - In real estate, lots that have more ocean frontage...Ch. 12 - Prob. 1NTCh. 12 - Prob. 2NTCh. 12 - Prob. 3NTCh. 12 - Prob. 4NTCh. 12 - Prob. 5NTCh. 12 - Are all right triangles in which the hypotenuse is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 538 Chapter 13 12. Given: Points E(-4, 1), F(2, 3), G(4, 9), and H(-2, 7) a. Show that EFGH is a rhombus. b. Use slopes to verify that the diagonals are perpendicular. 13. Given: Points R(-4, 5), S(-1, 9), T(7, 3) and U(4, -1) a. Show that RSTU is a rectangle. b. Use the distance formula to verify that the diagonals are congruent. 14. Given: Points N(-1, -5), O(0, 0), P(3, 2), and 2(8, 1) a. Show that NOPQ is an isosceles trapezoid. b. Show that the diagonals are congruent. Decide what special type of quadrilateral HIJK is. Then prove that your answer is correct. 15. H(0, 0) 16. H(0, 1) 17. H(7, 5) 18. H(-3, -3) I(5, 0) I(2,-3) 1(8, 3) I(-5, -6) J(7, 9) K(1, 9) J(-2, -1) K(-4, 3) J(0, -1) K(-1, 1) J(4, -5) K(6,-2) 19. Point N(3, - 4) lies on the circle x² + y² = 25. What is the slope of the (Hint: Recall Theorem 9-1.) - line that is tangent to the circle at N? 20. Point P(6, 7) lies on the circle (x + 2)² + (y − 1)² = 100. What is the slope of the line that is tangent to the circle at…arrow_forwardConsider a set of data ...arrow_forwardFor each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0. Explain your reasoningarrow_forward
- Analyze the residuals of a linear regression model and select the best response. yes, the residual plot does not show a curve no, the residual plot shows a curve yes, the residual plot shows a curve no, the residual plot does not show a curve I answered, "No, the residual plot shows a curve." (and this was incorrect). I am not sure why I keep getting these wrong when the answer seems obvious. Please help me understand what the yes and no references in the answer.arrow_forwardDesign a Turing Machine recognizing each of the following languages and draw its state diagram. Note that the transition functions of the Turing Machine must be in the format of “a → b,L/R", namely the machine reads single symbol a from the tape, writes single symbol b to the cell to replace a, and then goes to either left L or right R. You will receive 0 point if you do not follow this instruction. (1) {w|w=a²b³, n ≥ 0} (2) {w|w=a'b³,i0} (3) {w|w a'bick,iarrow_forwardDesign a PDA recognizing each of the following languages and draw its state diagram. Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols into/from the stack one time upon one input symbol. (1) {w|wa"b", n is odd} = (2) {w|w=w², length of w is odd and Σ = {a,b} } (3) {w|w= = a²b²n, n ≥1 } (4) {w|w= =a^bn+mcm, n≥0, m ≥ 1 } (5) {w|w=a²b³n, n≥0} (6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m } Hint: two cases: n > m and narrow_forward[) Hwk 29 ✗ WHwk 30 (MA 244-03) (SP X - Logout Cengage Learning X MA244-03 Syllabus_Sprin X b Answered: [) Hwk 29 Hwk X https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606609 4. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.013. Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) Y1' = -4Y1 Y2' = -12 (y1(t), Y2(t)) = ( 3 Need Help? Read It SUBMIT ANSWER 5. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.019. Solve the system of first-order linear differential equations. (Use C1, C2, C3, and C4 as constants.) Y1' = 6y1 Y2' = 2y2 Y3' = -643 Y4' = -2y4 = (y1(t), y2(t), y3(t), Y4(t)) = Need Help? Read It SUBMIT ANSWER G Use the Principal Axes The X G cot(0) - Google Search ☑ B 90% + ASK YOUR TEACHER PRACTICE ANOTHER ill ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/4 Points] DETAILS MY NOTES LARLINALG8 7.4.023. Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) ASK YOUR TEACHER Y1' = Y1 + 5y2 Y2'…arrow_forwarda. Find the value of A.b. Find pX(x) and py(y).c. Find pX|y(x|y) and py|X(y|x)d. Are x and y independent? Why or why not?arrow_forwardAnalyze the residuals of a linear regression model and select the best response.Criteria is simple evaluation of possible indications of an exponential model vs. linear model) no, the residual plot does not show a curve yes, the residual plot does not show a curve yes, the residual plot shows a curve no, the residual plot shows a curve I selected: yes, the residual plot shows a curve and it is INCORRECT. Can u help me understand why?arrow_forwardYou have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. please do it step by step on excel Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size). Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple…arrow_forward(a) (b) (c) (d) de unique? Answer the following questions related to the linear system x + y + z = 2 x-y+z=0 2x + y 2 3 rewrite the linear system into the matrix-vector form A = 5 Fuse elementary row operation to solve this linear system. Is the solution use elementary row operation to find the inverse of A and then solve the linear system. Verify the solution is the same as (b). give the null space of matrix A and find the dimension of null space. give the column space of matrix A and find the dimension of the column space of A (Hint: use Rank-Nullity Theorem).arrow_forwardplease explain in a clear wayarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
What are the Different Types of Triangles? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=1k0G-Y41jRA;License: Standard YouTube License, CC-BY
Law of Sines AAS, ASA, SSA Ambiguous Case; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=FPVGb-yWj3s;License: Standard YouTube License, CC-BY
Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY
Triangles | Mathematics Grade 5 | Periwinkle; Author: Periwinkle;https://www.youtube.com/watch?v=zneP1Q7IjgQ;License: Standard YouTube License, CC-BY
What Are Descriptive Statistics And Inferential Statistics?; Author: Amour Learning;https://www.youtube.com/watch?v=MUyUaouisZE;License: Standard Youtube License