Download Unit 8 Review2 Key

Geometry Honors
Chapter 8 Review 2
1. Give the most descriptive name for:
a. A quadrilateral whose consecutive sides measure 15, 18, 15 and 18.
b. A quadrilateral whose consecutive sides measure 15, 18, 18 and 15.
c. A quadrilateral with consecutive angles of 30°, 150°, 110° and 70°.
d. A quadrilateral whose diagonals are perpendicular and congruent and bisect each other.
e. A quadrilateral whose diagonals bisect each other and bisect the angles.
2. ABCD is a parallelogram.
AB=2x+6
BC=8
CD=x+8
A
B
D
3. In parallelogram ABCD, ∠A = (2x+6) and
m∠B = (x+24). Find m∠C.
C
Find the perimeter
of ABCD.
4. The measures of three of the angles of a
quadrilateral are 40, 70 and 130. What is the measure
of the fourth angle?
5. Find the sum of the measures of the exterior angles
for each polygon.
a. heptagon
b. 548-gon
6. Find the sum of the measures of the interior angles of the following polygons.
a. dodecagon
7. Find the value of x.
b. 24-gon
c. 36-gon
8. Find the value of x.
9. If a polygon has 33 sides, what is
a. the sum of the measures of the angles?
b. the sum of the measures of the exterior angles?
10. If the measure of an exterior angle of a regular
polygon is 15°, how many sides does the polygon
have?
11. The sum of the measures of the interior angles of a
polygon is 1620°. Find the number of sides.
12. Find the number of diagonals that can be drawn in
a pentadecagon.
13. Find the perimeter of a rhombus with diagonals of
length √ and √ .
14. Find the number of sides if each interior angle of a
regular polygon is 162°.
15. Find the number of sides if each exterior angle of a
regular polygon is 5°.
16. The measure of one angle of a parallelogram is 42 degrees more than twice the measure of another angle.
Find the measure of each angle of the parallelogram.