Geometry B U2 L3 Proving That a Quadrilateral Is a Parallelogram Answers

Question

1. Complete this statement: A polygon with all sides the same length is said to be ______.
Answer - B. Equilateral

2. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth.
Answer - A. 128.6°

3. In the figure, the horizontal lines are parallel and AB=BC=CD. Find the measure of JM. The diagram is not drawn to scale.
Answer - B. 21

4. Find the sum of the measures of the interior angles of the figure.
Answer - B. 720

5. Find the value of x. The diagram is not drawn to scale.
Answer - C. x = 99

6. The sum of the measures of two exterior angles of a triangle is 264°. What is the measure of the third exterior angle?
Answer - B. 96

7. How many sides does a regular polygon have if each exterior angle measures 72°?
Answer - C. 5

8. What are the missing reasons in the proof?
Answers - 3. definition of parallelogram
4. alternate interior angles theroem
5. reflexive property of congruence
6. ASA

9.Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification.
Answer - D. Yes, both pairs of opposite sides are congruent.

10. Complete the two-column proof.
Answers - 2. SV // TU
3. SV // TU
7. Corresponding part of congruent triangle
8. Definition of parallelogram.

100% Hope this helps! Btw, this is only the first half of the quiz. The second half is different for everyone.

Answer 1

But just in case some people have the same "part 2 quiz" questions that I did, here they are...

1. Find the values of the variables x,y, and z in the parallelogram. The diagram is not drawn to scale. (diagram shows a tilted square with 33 in top left corner, 109 in top right, z in bottom left, and x and y in bottom right.)

Answer - x=33, y=38, z=109
Explanation -
x=33 (alternate angles)
33+109+y=180
142+y=180
y=180-142
y=38
z=109

2. In parallelogram DEFG, DH = x + 1, HF = 3y, GH = 3x − 4, and HE = 5y + 1. Find the values of x and y. The diagram is not drawn to scale.
Answer -
DH = HF     
x + 1 = 3y         
y = (x + 1) ⁄ 3        

GH = HE
 3x – 4 = 5y + 1
  y = (3x – 5) ⁄ 5
             
 y = y
 (x + 1) ⁄ 3 = (3x – 5) ⁄ 5
5x + 5 = 9x – 15
4x = 20
 x = 5

y = (x + 1) ⁄ 3        
y = (5 + 1) ⁄ 3       
y = 2 

3. If ON = 8x − 8, LM = 7x + 4, NM = x − 5, and OL = 3y − 6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale.
Answer -
ON = LM
8x-8 = 7x+4
x = 12

OL = NM
3y-6 = x-5
3y-6 = 12-5
3y = 13
y = 13/3

Answer 2

No name is 100 percent right for part 1 of quiz 👍

Answer 3

On the 2nd part of the test on question 2, Instead of setting the values equal to each other we would set them equal to 180 right?

Answer 4

I correct myself

Answer 5

I am wrong

Answer 6

no name is right on test one i had the same answers as them for test two so

Answer 7

You're not that guy pal, you're not that guy.

Answer 8

@no name, bro thank you so much

Answer 9

Thanks No name