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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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properties of other quadrilaterals

Properties of Other Quadrilaterals

Students will be able to…

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

example
EXAMPLE

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

E

slide8

EXAMPLE:

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

trapezoid

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
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
Theorem:

The base angles of an isosceles trapezoid are congruent

B

D

C

A

Find x.

slide14

1

44°

112°

2

FIND THE MEASURE OF THE MISSING ANGLES.

midsegment median of a trapezoid
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

MN || AD

MN = ½(BC+AD)

slide18

Find the following:

EF:

86°

3

4

108°