Download 6.5: Trapezoids

6.5: Trapezoids
Geometry
Name _____________________________
 Trapezoid
Isosceles Trapezoid
Isosceles Trapezoid Properties
If a trapezoid is isosceles, then
If a trapezoid has a pair of congruent base angles then
Example 1: For the trapezoid, name the bases, the legs, and the two pairs of base angles.
a.
bases: __________
legs: ___________
Two pairs of base angles ____________ & _______________
Example 2: The following are ISOSCELES TRAPEZOIDS. Find the missing angle measures.
a.
m ∠R = ____
m ∠Q = _____
m ∠P = _____
b.
c.
m ∠A = _____ m ∠C = _____
m ∠D = _____ m ∠A = _____
m ∠B = _____
m ∠B = _______
Example 3: The following are TRAPEZOIDS. Find the missing angles measures.
a.
b.
First solve for x!
m ∠R = ______
m ∠A = _______
m ∠B = _______
m ∠T = ______
m ∠C = _______
m ∠D = _______
The _____________________ of a trapezoid is the segment that connects the midpoints of its
legs.
The midsegment of a trapezoid is ________________ to its bases.
What do we know about the angles of this trapezoid?
Example 4: Find the length of the midsegment of the TRAPEZOIDS.
a.
b.
Example 5: For the TRAPEZOID, find each angle measure or side length.
a.
m ∠1 = _____
m ∠2 = ______
m ∠3 = _____
m ∠4 = ______ y = _____
6.6: Reasoning about Quadrilaterals
Trapezoids:
Definition:
Draw a diagram:
The bases of a trapezoid are the sides that are ___________________
An isosceles trapezoid has ______________________
The base angles of an isosceles trapezoid are ___________________
Formula for finding the length of the midsegment:
Example 6: The diagonals of a quadrilateral bisect each other. Which is the most specific
name for the quadrilateral?
A. trapezoid
B. parallelogram
C. kite
D. none of the above
Example 7: Identify the special quadrilateral. Use the most specific name.
A. rectangle
B. trapezoid
C. square
D. rhombus
HW: 6.5/6.6 Trapezoid Worksheet