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]
3 years ago
9

Complete the proof given below.

Mathematics
1 answer:
allochka39001 [22]3 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
PLSSSS HELPPPP ASAPPP
Feliz [49]

Answer:

3x+18+93=180

3x+111-111 =180-111

3x. =69

X=23

7 0
3 years ago
The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44
melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

<u>45 =  \frac{y}{35}</u>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

New total number of students

= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

44.5  =  \frac{y + x}{36}

<h3>4) Substitute the value of y</h3>

44.5 =  \frac{1575 + x}{36}

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

x= 27

Thus, the weight of the new student is 27 kg.

7 0
3 years ago
Hey! i’ll give brainliest please help
myrzilka [38]

Answer:

The 4th answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Equation of a circle with center (6,4) that passes through the coordinate (2,1).
iris [78.8K]
25= (x-6)^2 + (y-4)^2

6 0
3 years ago
¿Cuál es el peso total en kilos de los dulces?<br>A<br>2<br>3<br>B<br>oln​
Doss [256]

pesan 3kilos.

3/1=0.3kilos

4 0
3 years ago
Other questions:
  • 8. Write the number in expanded form.<br> 674.281
    13·2 answers
  • There are 1800 students in a school. 53.5% of them are male. How many are female?
    7·2 answers
  • **URGENT**
    10·2 answers
  • If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what is the scale factor? What is an equation that c
    13·1 answer
  • one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5
    5·1 answer
  • Please help asap!!! i’ll rate you most brainliest
    12·1 answer
  • PLEASE ANSWER ASAP
    13·1 answer
  • Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
    14·1 answer
  • Enter the appropriate value to answer the question or solve the problem.
    6·1 answer
  • Hey could anyone explain how to answer this kind of question? Or just solve and show what you did! Thank you!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!