Download about an isosceles trapezoid… about a midsegment…

Geometry
Notes – 8.4
Name_________________________
Trapezoids & Kites
trapezoid –
bases –
legs –
isosceles trapezoid –
about an isosceles trapezoid…
(properties of an isosceles trapezoid)
- if a trapezoid is isosceles, then each pair of base angles is congruent.
- if a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.
- a trapezoid is isosceles if and only if its diagonals are congruent.
midsegment –
about a midsegment…
- parallel to each base
- half the sum of the lengths of the bases
Examples 1 – 2: Find MN in each trapezoid.
1.
2.
12 in.
M
N
23 ft.
M
N
27 ft.
28 in.
Practice 3 – 4: Find the value of x.
3.
4.
Examples 5 – 6: Find the value of x.
5.
6.
Practice 7: Find the value of x.
Examples 8 – 9: Find the unknown angle measures.
8.
mB 
B
9.
mJ 
C
mL 
mC 
mD 
57
A
D
mM 
kite –
about a kite…
(properties of a kite)
- diagonals are perpendicular
- exactly one pair of opposite angles are
congruent
Examples 10 – 11: Find the indicated angle.
10. EFGH is a kite. Find mG.
11. RSTV is a kite. Find the mV.
Practice 12 – 13: EFGH is a kite. Find mG.
12.
13.
Breakdown of Special Quadrilaterals!!
Quadrilateral
Parallelogram
Rhombus
Rectangle
Square
Trapezoid
Isosceles Trapezoid
Kite