ACADEMIC GEOMETRY
CHAPTER 4 REVIEW WS
NAME:
PD:
DATE:
1.) Classify each triangle as acute, equiangular, obtuse, or right.
a.)
b.)
c.)
2.) Classify each triangle as equilateral, isosceles, or scalene.
a.)
b.)
3.) For each triangle, find x and the measure of each side.
a.) FGH is an equilateral triangle with FG = x + 5, GH = 3x - 9, and FH = 2x - 2.
x=
FG =
GH =
FH =
b.) LMN is an isosceles triangle, with LM = LN, LM = 3x - 2, LN = 2x + 1, and MN = 5x - 2.
x=
LM =
LN =
MN =
4.) Find the missing angle measures.
m∠1 =
m∠2 =
m∠3 =
5.) Find each measure.
m∠1 =
m∠2 =
m∠3 =
6.) Find the m∠1.
m∠1 =
7.) Find each measure.
m∠1 =
m∠2 =
8.) In the figure, ABC  FDE. Find the value of x and y.
x=
y=
9.) Polygon ABCD  polygon PQRS. Find the value of x and y.
x=
y=
10.) Write a two column proof.
11.) Find x given
x=
12.) Find x.
x=
13.) Find the value of x.
a.)
x=
b.)
x=
14.)
15.) Write a two column proof. (HINT: Use Isosceles Triangle Theorem)
16.) Write a two column proof.
17.) Write a two column proof.
18.) Write a flow proof.
19.) Write a two column proof.
20.) Write a two column proof.
21.) Write a two column proof.
22.) Write a two column proof.
23.) Write a two column proof.