Mathematics
Mathematics, 23.10.2020 23:20, rtryf57rfgth

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent: Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. . Angles BCA and DAC are congruent by the same reasoning. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.

Which sentence accurately completes the proof? (5 points)

a
Angles ABC and CDA are corresponding parts of congruent triangles, which are congruent (CPCTC).

b
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

c
Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.

d
Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.

answer
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 13:50, monaae3824
Given the function f(x) = 3x + 1, evaluate f(a + 1). a. 3a + 1 b. a + 2 c. 3a + 4
Answers: 1
image
Mathematics, 21.06.2019 15:00, bige556
Cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store. which equation can be used to determine the approximate shoe size, s, for a foot length of x inches? s = x – 2 s = 2x – 10 s = x + 6 s = 2x + 4
Answers: 3
image
Mathematics, 21.06.2019 20:30, maggiestevens5321
What is the measure of angle x? answer
Answers: 1
image
Mathematics, 21.06.2019 22:00, goodperson21
White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.
Answers: 2
Do you know the correct answer?
The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are c...

Questions in other subjects:

Konu
Mathematics, 07.06.2020 02:00