Lauren made the plan shown for proving that quadrilateral ABC D with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove given information and the shared side BD. This will lead to angles are congruent. by the SSS Congruence Postulate. Using CPCTC, The same can be done for using the . Therefore, ABC D is a parallelogram because opposite What are the missing parts of the plan for the proof? A 스ABC스 ΔCDA; LA 쓴 20; ABCD 쓴 ΔDAB, LB~ LD B AABC ACDA; ZBz ZD; ABCD = ADAB; ZA = ZC C ΔBCD스 ADAB, LA 쓴 2C; AABC 스 △CDA; LB~ ZD D D ABCD ADAB; ZBZ ZD; AABC = ACDA; ZA LC

Lauren made the plan shown for proving that quadrilateral ABC D with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove given information and the shared side BD. This will lead to angles are congruent. by the SSS Congruence Postulate. Using CPCTC, The same can be done for using the . Therefore, ABC D is a parallelogram because opposite What are the missing parts of the plan for the proof? A 스ABC스 ΔCDA; LA 쓴 20; ABCD 쓴 ΔDAB, LB~ LD B AABC ACDA; ZBz ZD; ABCD = ADAB; ZA = ZC C ΔBCD스 ADAB, LA 쓴 2C; AABC 스 △CDA; LB~ ZD D D ABCD ADAB; ZBZ ZD; AABC = ACDA; ZA LC

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

See similar textbooks

Related questions

Q: 2. Which piece of information would prove a parallelogram is not a rectangle? The diagonals are…

Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x+13) (4y + 7)° (3x-8)°…

Q: If AC 2+ 14 and AE = 8v + 2, find the value of v that makes quadrilateral BCDE parallelogram.

Q: Quadrilateral ABCD is rotated 90' clockwise to produce A'B'C'D'. Is each statement true? AB = A'B'…

A: Draw a quadrilateral and then rotate it at 90° in clockwise direction.

Q: If a quadnlateral is a parallelogram, then consecutive angles are complementary 1S

Q: A parallelogram that has two consecutive congruent sides is a rectangle. O True False

A: Check if the given statement is true or false.

Q: John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below. Which…

A: Given that:

Q: What is the measure of ∠B if the measure of ∠A=82⁰ and quadrilaterals ABCD and AXYZ are…

A: The adjacent angles of a parallelogram are supplementary.

Q: Parallelogram ABCD with diagonals AC and BD is displayed. See Attachment, please. It is…

Q: The side labeled b has been chosen as the base for this parallelogram. Draw a segment showing the…

A: The diagram is shown in the figure represents the parallelogram. One side of the parallelogram is…

Q: Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by…

A: We prove, opposite sides are equal or congruent in lenth.

Q: Quad. ABCD is a parallelogram. Name the principal theorem ordefinition that justifies the statement.

A: Consider the parallelogram ABCD,

Q: A diagonal of a parallelogram bisects one of its angles. Which specialkind of parallelogram must it…

A: A parallelogram is a quadrilateral in which, the diagonals divide themselves into two equal segments…

Question

100%

Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a parallelogram, by showing
that the opposite angles are congruent.
Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to
prove
given information and the shared side BD. This will lead to
angles are congruent.
using the
Therefore, ABCD is a parallelogram because opposite
by the SSS Congruence Postulate. Using CPCTC,
The same can be done for _
What are the missing parts of the plan for the proof?
A
AABC = ACDA; ZA= ZC; ABCD= ADAB; ZB= ZD
ΔABC 쓴 ΔCDA; ZB~ ZD; ABCD 스 △DAB; LA 쓴 ZC
ΔBCD쓴 ADAB; LA쓴 2C; AABC 쓸 ΔCDA; ZB~ ZD
ΔBCD 쓴 △DAB; ZB~ ZD; △ABC 쓸 △CDA; LA 쓴 ZC

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What type of trapezoid a has congruent diagonals. b has congruent base angles.
For a given triangle such as ABC, what word describes the point of concurrency for athe three perpendicular bisectors of sides? _____________ bthe three altitudes? ____________________
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Consider the square at the right, RSTV. It has four right angles and four sides of the same length. How are sides RS and ST related? How are sides RS and VT related?
Being as specific as possible, name the type of quadrilateral that ahas two pairs of congruent adjacent sides. bhas two pairs of congruent opposite sides.
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
In the drawing, suppose that ZX is the perpendicular bisector of WY. What type of quadrilateral is WXYZ?
In the drawing, ABDCEF. Suppose that transversals l and m are also parallel. D and C are the midpoints of AE and BF, respectively. If parallelogram ABCD similar to parallelogram DCFE?
Quadrilateral ABCD has AB-DC- and AD-BC-. Using intuition, what type of quadrilateral is ABCD?
Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a segment to divide a line segment into a three congruent parts? c six congruent parts? b four congruent parts? d eight congruent parts?
In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?
Given rhombus ABCD, use intuition to draw a conclusion regarding diagonals AC and DB.