1 / 19

# Properties of Other Quadrilaterals - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Students will be able to…

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

• Rhombus

• Square

• Kite

• Rhombus

• Square

Example: bisected:Find the measures of the numbered angles in the rhombus.

1

12°

2

4

3

• Rectangle

• Square

• Isosceles Trapezoid

EXAMPLE bisected:

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

E

EXAMPLE: bisected:

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

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: opposite parallel sides

The base angles of an isosceles trapezoid are congruent

B

D

C

A

Find x.

Example: opposite congruent anglesFind the measures of the numbered angles.

46°

1

2

3

1 opposite congruent angles

44°

112°

2

FIND THE MEASURE OF THE MISSING ANGLES.

Midsegment 3 angles. (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: 3 angles.

EF:

86°

3

4

108°

Find x: 3 angles.

x

8

12