Practice 6-3

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Name Class Date

Practice 6-3

Proving That a Quadrilateral Is a Parallelogram State whether the information given about quadrilateral

SMTP

is sufficient to prove that it is a parallelogram.

1.

SPT SMT

2.

SPX TMX, TPX SMX

3.

5.

SM PX PT

,

MX

,

SP SX MT TX

4.

SX

6.

SP XT MT

, ,

SM SP 6 PT MT

S P X M T Algebra

Find the values of

x

and

y

for which the figure must be a parallelogram.

7.

I

7

y M

4

x

20

A x

26

P

6

x

9 8.

2

x

14

P I x M A

5

x

4 2

y

9.

I P

(2

x

)

M

(12

y

8) (5

y

2)

A Algebra

Find the value of

x.

Then tell whether the figure must be a parallelogram. Explain your answer.

10.

3

x

2 11.

(

x

30) (2

x

25)

x

4 2

x

4

2x

6 (3

x

15) (2

x)

12.

50 Decide whether the quadrilateral is a parallelogram. Explain your answer.

13.

14.

15.

16.

(4

x

10) (

x

15) (2

x)

17.

18.

19.

20.

Geometry

Chapter 6 Lesson 6-3 Practice

3

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