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# 6.2 Properties of Parallelograms - PowerPoint PPT Presentation

6.2 Properties of Parallelograms. Theorems. If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. Q. R. S. P. Theorems.

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### 6.2 Properties of Parallelograms

• If a quadrilateral is a parallelogram, then its opposite sides are congruent.

• If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Q

R

S

P

• If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

m<P + m<Q = 180°

m<Q + m<R = 180°

m<R + m<S = 180°

m<S + m<P = 180°

Q

R

S

P

• PQRS is a parallelogram. Find the angle measure.

• m< R

• m< Q

Q

70 °

R

70 ° + m < Q = 180 °

m< Q = 110 °

70°

P

S

• PQRS is a parallelogram. Find the value of h.

P

Q

3h

120°

S

R

• If a quadrilateral is a parallelogram, then its diagonals bisect each other.

R

Q

M

P

S

• FGHJ is a parallelogram. Find the unknown length.

• JH

• JK

5

5

F

G

3

3

K

J

H

• Use the diagram of parallelogram JKLM. Complete the statement.

LM

K

L

NK

<KJM

N

<LMJ

NL

MJ

J

M

• LM

• LP

• LQ

• QP

• m<LMN

• m<NQL

• m<MNQ

• m<LMQ

18

8

L

M

9

110°

10

10

9

P

70°

8

32°

70 °

Q

N

18

110 °

32 °