Problem 6 A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C, as shown below. Point M is drawn as the midpoint of BC. B Which of the following could be used as part of the C proof that ZB LC? Select all that apply. (Select all that apply.) O AM AM because of the Symmetric Property. BM CM because of the definition of a midpoint. O AB E AC because of the definition of an isosceles triangle. O AABM AACM because of the SAS triangle congruence criterion O 4B zC because corresponding parts of congruent triangles are congruent MN

Problem 6 A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C, as shown below. Point M is drawn as the midpoint of BC. B Which of the following could be used as part of the C proof that ZB LC? Select all that apply. (Select all that apply.) O AM AM because of the Symmetric Property. BM CM because of the definition of a midpoint. O AB E AC because of the definition of an isosceles triangle. O AABM AACM because of the SAS triangle congruence criterion O 4B zC because corresponding parts of congruent triangles are congruent MN

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Suppose for triangle ABC, the angles B and C, and side a are given. The first quantity that we can…

Q: 4. A utility pole casts a 25' shadow on the ground. If a 48' wire is attached to the top of the pole…

Q: 3. Tick the triangles that are congruent with triangle A. Justify your choices. 9 cm 45° 14.5 cm 60°…

Q: For triangle ABC with sides a, b, and c the Law of Cosines states the following.

A: Given, The triangle ABC with sides a,b and c.

Q: Test III Using the two-column proof, write the appropriate statements or reasons for each diagram.…

A: This question is based on Congruent triangles postulates.

Q: The polygon ABCDEF has the internal angles measured in it as in the following figure and the…

A: Given:

Q: After using a compassion and a straightedge to generator this figure,jeremy clams ∆ ABC is an…

A: Here, note that all the angles in equilateral triangles are congruent so they are 60°.

Q: For a triangle AABC, we have a = 2.4, b = 6.4, and *B= 118°. Find side c. Hint: find angle A, then…

Q: 4. AB = 12, CB = 5, find AC. What formula can you use in that triangle and why can you use it? Is it…

Q: Which of the following theorems could be used to prove the two triangle are congruent? D E %3 C O…

A: Two shapes that are of the same size and the same shape are congruent Two triangles are said to…

Q: riangle has vertices A, B, and C with opposite side lengths a, b, and c respectively. Fin BẬC if ABC…

A: Solution of the problem as follows

Q: Determine which of the following pairs of triangles are similar. Justify your answer. Homework Help…

Q: Are the triangles congruent? If so, then what congruency statement is true. A D 63° 630 4 8 88° 88°…

Q: Can the triangles be proven congruent with the information given in the diagram? If so, state the…

Q: 4. AXYZ, shown in the diagram, was created by constructing two adjacent triangles, AXYW (a 30-60-90…

Q: = 1cm, and LABC = 30°, how many unique triangles are Given the conditions in triangle ABC where AB =…

Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

Question

5 Part 3 Desmos | School X
A Module 5 part 3
6 Launch Meeting - Zoom
uilder/student/601be852346f470468897058#screenldx=56
Problem 6
A student wants to prove that the base angles of an
isosceles triangle are congruent. The student
draws isosceles triangle ABC with base
angles B and C, as shown below.
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the
C proof that ZB = LC? Select all that apply.
(Select all that apply.)
O AM AM because of the Symmetric Property.
BM CM because of the definition of a midpoint.
O AB E AC because of the definition of an isosceles triangle.
O AABM E AACM because of the SAS triangle congruence
criterion
O ZBg zC because corresponding parts of congruent
triangles are congruent
立

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pythagoras' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Use right triangle trigonometry to find the value of x. Round your answers to the nearest Right Triangle Trig: Missing Sides Name: to renth. Then match each problem to its solution on the coloring page. Find the problem ober in The picture and color it the colon thet is esSOciated with that problem's solution. 2. 1) 1 2) 3) 4) 5) 1 6) 4 3 7) 8) 9) ANSWERS 5.1 BLUE 8.3 GREY 8.5 PURPLE 9.0 LIME GREEN 12.8 ORANGE 13.2 YELLOW 15.2 BROWN 17.4 RED 19.5 BLACK Meghan Coleman
B D. In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a step in proving that the sum of the interior angles in A BDE is 180° ? O LI 23 because vertical angles are congruent. O mLE+ mZ2+ mZD = 180° by substitution. O LDE LE because base angles of isosceles triangles are congruent. O 23 LE because alternate interior angles are congruent when two parallel lines are cut by a transversal. on 7 of 60
11 03 Question 9 Triangles ABC and DEF are isosceles triangles. Which of the statements below is/are true? A Two sides of AABC are congruent to two sides of AEDF. B Two angles of ADEF are congruent. C Two sides of AABC are congruent. D The base angles of AABC are congruent to the base angles of AEDF. ©2022 Illuminate Education TM, Inc. esc @ 2 W #3 G $ 4 % 5 Yes Yes Yes Yes Oll A 6 O No No No No &
In triangle ABC, A = 54°, a = 24 and C = 28. Which of these statements best describes the triangle? •It is acute •It is obtuse •It can be either acute or obtuse •It is a right triangle •It cannot be constructed
If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that ZADB and ZCDB are right angles? AD C A No, it is not known if ZA 2 ZC, so AABD and ACBD cannot be proven congruent. No, it is not known if BD is the angle bisector of ZABC or if D is the midpoint of AC. Thus, AABD and ACBD В cannot be proven congruent. Yes, AABD ACBD by the SAS Congruence Postulate and ZADB and ZCDB are congruent because of CPCTC. C Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. Yes, AABD ACBD by SSS and ZADB and ZCDB are congruent because of CPCTC. Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. B
Which rule explains why these triangles are similar? W 310 31° 46° V 460 SSS SAS AA none of the above; the triangles cannot be proven similar MO 52LL 0000
Consider the triangle below. Click on the picture to see it more clearly. In questions 1, 2 and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so called "ambigous" case since it can give 0 triangles, 1 triangle or 2 triangles. In each case determine the number of triangles possible with the given parts. (enter 0, 1 or 2) 1. a = 8, b = 12, A = 50° number of possible triangles: 2. a 13.6, b = 12, A = 41° number of possible triangles: 3. a 17.2, b = 25, A = 34° number of possible triangles: 9. 9.
Determine the relationship between the two triangles and whether or not they can be proven to be congruent. The two triangles are related by v, so the triangles Submit Answer attempt 1 out of 2