For what value of a must LMNO be a parallelogram?

Step-by-step explanation:

For what value of a must LMNO be

a parallelogram?

2. Can you prove ABCD is a parallelogram based on the given

information? Explain.

Given: X 5 5, Y 5 4

Prove: ABCD is a parallelogram

3. Do you UNDERSTAND? Quadrilateral QRST has two pairs

of congruent sides, but it is not a parallelogram. What fi gure

is it? What further condition would it have to satisfy to be

a parallelogram?

L M

O N

2a

8b 1

2b 1

4b 7

A D

B C

3x 12 6x 3

7y 8

5y

6-3 Lesson Quiz

6-3 Solve It!

Answers

Solve It!

Yes; explanations may vary.

Sample: ' are > corresp. ', so

the horizontal lines are 6, or alt.

int. ' are >, so the lines are 6.

Lesson Quiz

1. 2.5

2. Yes, by Theorem 6-8

3. The fi gure is a kite. To be a

parallelogram, it would have

to have pairs of opposite

congruent sides, not just

cong

a = 2.5

Step-by-step explanation:

For LMNO to be a parallelogram then opposite sides are congruent, so

ON = LM , that is

8b - 1 = 4b + 7 ( subtract 4b from both sides )

4b - 1 = 7 ( add 1 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Then

MN = 2b + 1 = 2(2) + 1 = 4 + 1 = 5 , so

2a = 5 ( divide both sides by 2 )

a = 2.5

Thus

For LMNO to be a parallelogram , a = 2.5

step-by-step explanation:

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