Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles congruent triangles similar triangles

Answers

Answer 1

Answer:

The correct answer is:

Congruent triangles.

Explanation:

Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.

The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.

The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.

Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

Answer 2

Answer: I think it's congruent triangles

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Evaluate the expression when p = 9.3 and q = –2.1.p – 3q
a. 15.6
b. 3.0
c. –13.2
d. –15.6
My answer is D

Answers

p – 3q
= 9.3 - 3 X -2.1
= 9.3 + 6.3
= 15.6 ....

i think the answer is A ......

hope am right !!!

How do i solve x/2+1/3=x/3+1/2

Answers

x/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

$(1)/(2)x + (1)/(3) = (1)/(3)x + (1)/(2) \n(1)/(6)x + (1)/(3) = (1)/(2) \n(1)/(6)x = (1)/(6) \n6((1)/(6)x) = 6((1)/(6)) \nx = 1$

Yolanda spends 8/23 hours per month playing soccer. Approximately how many hours does she play soccer in a year

Answers

Given:
8 2/3 hours per month
12 months in a year.

Number of hours she play soccer in a year.

8 2/3 must be converted to improper fraction.

((8*3)+2)/3 = 26/3

26/3 * 12 = (26 * 12)/3 = 312/3 = 104

Yolanda spends 104 hours in a year playing soccer.

(8+2/3)*12=96+2*12/3=96+2*4=96+8=104
Approximatively 104h per year

In Becky's class, there are 22 students. 5/11 of the students are girls. How many of the students in her class are girls?5 students
10 students(correct answer)?
12 students
16 students

Answers

10 students

Working
5/11 * 22 =10

Answer: 10 students

Step-by-step explanation:

half 22 is 11 - 1 = 10

What is the mode of the data set?
23 95 100 23 100 100

Answers

Go to the second pic for your answer. I got problem 4 wrong but it shows the correct answer.

The mode would be 100

The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?x = –3
x = –2
x = 2
x = 3