Practice 6-3

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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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