Download Test Unit 3 – Geometry Gallery

GPS Geometry w/ Support
Unit 1: Geometry Gallery Review
Name: ________________________
Date: ______________ Period: ____
Learning Goal #2: ANGLES MM1G3.a,b
Determine the sum of interior and exterior angles in a polygon, and understand and use the triangle inequality,
the side-angle inequality, and the exterior-angle inequality.
Answer each question below. You must show your work for full credit.
1.) What 4 things have to be true for a figure to be a polygon?
Draw some examples of polygons
2.) a. Name all the polygons by number of sides (up to 10)
b. What makes a polygon concave? Draw one below.
c. What makes a polygon regular?
3.) Using a hexgon:
a. Find the sum of the interior angles
b. Find the measure of one interior angle
c. Find the measure of one exterior angle
and non-polygons
4.) The sum of the measures of the interior angles of a convex polygon is 14400. Classify the
polygon by the number of sides.
5.) Find the measure of the missing angle in the pentagon below.
92o
106
o
89o
72o
6.) Use the figure to the right to answer the following questions.
a. Solve for x in the polygon at right.
b. Name the largest angle in the polygon.
7.) Find the value of x in the hexagon below.
58o
61o
x
64o
o
45o
27o
Multiple Choice: Please show your work for partial credit opportunities.
8.) In ABC, mA = 58 and mB = 65. Which of the following is a valid conclusion?
9.) Refer to PQR shown at right. List the angles in order from
P
least to greatest measure.
18
6
R
15
Q
10.) In right triangle FGH, mF = 45 and mG = 87. List the sides of the triangle in order from
greatest to least measure.
11. Can the following be the measure of the sides of a triangle?
A. 3, 4, 6
B. 3, 6, 9
C. 4, 5, 10
D. 4, 7, 10
12. If the measures of two sides of a triangle are 5.6 inches and 7.9 inches, what are the
possible lengths of the third side?
13. In LMN , LM = 16.1 and MN = 5.6. Find the range of possible measures for LN.
Find the value of x.
15.
14.
x
2 x
(3x - 22)
50
2x
16.
17.)
How does angle 1 compare to angle 2? How does it compare to angle 3?