# Properties of Other Quadrilaterals - PowerPoint PPT Presentation

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Properties of Other Quadrilaterals. Students will be able to… Identify and use the properties of rectangles, squares, rhombuses, kites, and trapezoids. The following quadrilaterals have perpendicular diagonals:. Rhombus Square Kite.

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#### Presentation Transcript

Students will be able to…

Identify and use the properties of rectangles, squares, rhombuses, kites, and trapezoids

• Rhombus

• Square

• Kite

• Rhombus

• Square

1

12°

2

4

3

### The following quadrilaterals have congruent diagonals

• Rectangle

• Square

• Isosceles Trapezoid

### EXAMPLE

BD=5y-7 and AC = y + 5. Find the value of y and the length of BE.

E

EXAMPLE:

If BD= 2x+10 and AC=x+15, find x and the length of the diagonals.

• The 2 parallel sides are the bases

• The 2 non-parallel sides are the legs

### TRAPEZOID

BASE ANGLES

B

D

LEG

LEG

A

C

BASE ANGLES

Name the following:

Bases:

Legs:

2 Pairs of Base Angles:

### The following quadrilaterals have exactly one pair of opposite parallel sides

• Trapezoid

• Isosceles Trapezoid

The following quadrilaterals have exactly one pair of opposite congruent sides:

• Isosceles Trapezoid

### Theorem:

The base angles of an isosceles trapezoid are congruent

B

D

C

A

Find x.

• Kite

### Example: Find the measures of the numbered angles.

46°

1

2

3

1

44°

112°

2

FIND THE MEASURE OF THE MISSING ANGLES.

### Midsegment (Median) of a Trapezoid

• Joins the midpoints of the nonparallel sides

• Is parallel to the bases

• Its length is ½ the sum of the bases

MN || BC

Find the following:

EF:

86°

3

4

108°

x

8

12