Download Lesson 6

Geometry
Lesson 6-6 WS
Name_______________________________
Choose 2 of the following. Find the measures of the numbered angles in each isosceles
trapezoid.
1.
2.
3.
m1  _______
m1  _______
m1  _______
m2  _______
m2  _______
m2  _______
m3  _______
m3  _______
m3  _______
Choose 2 of the following. EF is the midsegment of the trapezoid. Write and solve an
equation to find the value of the variable. Then find the given lengths.
4.
5.
6.
x  _______
x  _______
x  _______
AD  _______
EF  _______
AD  _______
EF  _______
BC  _______
EF  _______
Find the measures of the numbered angles in the kite.
7.
m1  _______
m6  _______
m2  _______
m7  _______
m3  _______
m8  _______
m4  _______
m9  _______
m5  _______
m10  _______
Write and solve an equation to find the value of the variable in each isosceles trapezoid.
8.
9.
CD is the midsegment of the trapezoid. Write and solve an equation to find the value of the
variable. Then find the lengths of the given segments.
x  _______
10.
EF  _______
CD  _______
HG  _______
Write and solve equations to find the value(s) of the variable(s) in each kite.
11.
12.
Name each type of quadrilateral (parallelogram, rectangle, rhombus, square, trapezoid,
isosceles trapezoid, kite) that can meet the given condition. There may be more than one
correct answer for each one.
13. Exactly one pairs of congruent sides.
14. Two pairs of parallel sides
15. Four right angles
16. Adjacent sides that are congruent
17. Perpendicular diagonals
18. Congruent diagonals
Determine whether each statement is true or false.
19. All squares are rectangles.
20. A trapezoid is a parallelogram.
21. A rhombus can be a kite.
22. Some parallelograms are squares.
23. Every quadrilateral is a parallelogram.
24. All rhombuses are squares.