#### Transcript of 8-4 Rectangles

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

**Theorem 8.14**

If a parallelogram is a rectangle, then the diagonals are congruent.

**Theorem 8.13**

**What is a Rectangle?**

**A Rectangle is a quadrilateral with four Right Angles.**

8-4 Rectangles

Abbreviation: If☐ is a rectangle, diag. are

Abbreviation: If diagonals of are , is a rectangle.

A B

D C

AC BD

Properties Examples

Oppisite sides are and

ll

Oppisite

L

's are

Consecutive

L

's are

supplementary.

Diagonals are and

Bisect each other.

All four

L

's are

Right

L

's

AB DC, AB

ll

DC

BC AD, BC

ll

AD

L

A

L

C

L

B

L

D

m

L

A + m

L

B= 180

m

L

B + m

L

C= 180

m

L

C + m

L

D= 180

m

L

D + m

L

A= 180

AC and BD

bisect

each other.

AC BD

m

L

DAB= m

L

BCD=

m

L

ABC= m

L

ADC

= 90

A B

D C

Full transcript