1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
leonid [27]
2 years ago
9

Complete the proof given below.

Mathematics
1 answer:
allochka39001 [22]2 years ago
8 0

Given that the opposite sides of a parallelogram are congruent, a diagonal

of the parallelogram forms two congruent triangles.

The correct options to complete the proof are;

  • <u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
  • <u>Reflexive property of congruency</u>
  • <u>SSS</u>

Reasons:

The completed two column proof is presented as follows;

Statement  {}                                  Reason

1. ABCD is a parallelogram  {}       1. Given

2. \overline{AB} ≅ \overline{DC} and \overline{BC} ≅ \overline{DA}  {}      2. <u>Opposite sides of a parallelogram</u>

3. \overline{AC} ≅ \overline{CA}    {}                             3. <u>Reflexive property of congruency</u>

4. ΔABC ≅ ΔCDA     {}                   4. <u>SSS</u>

The correct options are therefore;

<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram

Reflexive property of congruency

SSS;

Reason 2. Opposite sides of a parallelogram, which is based on the

properties of a parallelogram and that ABCD is a parallelogram.

Reason 3. The reflexive property of congruency, states that a side is

congruent to itself.

Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency

postulate that states that if the three sides of one triangle are equal to the

three sides of another triangle, then the two triangles are congruent.

Learn more about parallelograms here:

brainly.com/question/4218263

brainly.com/question/21390857

You might be interested in
How do I solve 9.1/-2.6
natima [27]

Answer:

-3.5

Step-by-step explanation:

9.1 divided by -2.6= -3.5

5 0
3 years ago
At the nursery, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are ther
grin007 [14]
35 red flowers

28/4=7
7x5=35
8 0
3 years ago
Please help brainliest and 20 points!
Nadya [2.5K]

Answer:

I'm so sorry I can't help haven't learned how to do that yet

4 0
3 years ago
Let F(x)=3x-1,h(x)=-x+5<br> find (f•h)(-2)
vovangra [49]

Answer:

8

Dont mind me if i am wrong!

4 0
3 years ago
The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers?
Sergeu [11.5K]

Answer:

4x+x=40

5x+40

x=8

8, 32

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Is the sequence geometric? Is so identify the common ratio 1/4, 3/15, 9/64, 27/256, 81/1024....
    9·1 answer
  • A point at (-5,7) in the standard (x,y) coordinate
    12·1 answer
  • Jay is measuring the sides and angles of a number of triangles looking for a triangle that is congruent to triangle XYZ below.
    15·2 answers
  • How do you solve this equation?
    14·1 answer
  • Rays, lines, and angles, unlike points, have _____?
    13·1 answer
  • The best player on a basketball team makes 75​% of all free throws. The​ second-best player makes 65​% of all free throws. The​
    9·1 answer
  • Veronica's family is getting ready for
    11·1 answer
  • Is the point (5, -7) a solution to the equation <br> Y &gt; -2x + 3
    11·1 answer
  • I need help please <br><br> x+y&gt;1
    13·1 answer
  • -9.4d + 26 &lt; 91.8<br> What is d?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!