Download Geometry Name______________________ Review 4.1

Geometry
Review 4.1 - 4.3,4.8
Name______________________
Date_______________ Hour___
Classify each triangle by its angle measures.
1. ∆ABD
2. ∆ADC
3. ∆BCD
Classify each triangle by its side lengths.
4. ∆GIJ
5. ∆HIJ
6. ∆GHJ
Find the side lengths of each triangle.
7.
RP = _______
RQ = ______
8.
PQ = _______
AC = ______
CB =_______
AB = ______
9. The New York City subway is known for its crowded cars. If all the seats
in a car are taken, passengers must stand and steady themselves with
railings or handholds. The last subway cars designed with steel hand
straps were the “Redbirds” made in the late 1950s and early 1960s.
The figure gives the dimensions of one of these triangular hand straps.
How many hand straps could have been made from 99 inches of steel?
Fill in the blank.
10. The sum of the angle measures in a triangle is _________.
11. The measure of an ___________________ of a triangle is equal to the sum of
the measures of its remote interior angles.
12. The acute angles of a ____________ triangle are complementary.
13. The measure of each angle of an _______________ is 60°,
Find the value of the variables. Write an equation and show all work☺
14.
15.
3x°
(3x)◦
x°
(5x)◦
17.
(x + 10)°
18.
65°
16.
x°
x°
19.
120°
xo
x°
b°
70°
(x - 30)°
a°
(x - 30)°
(2x + 18)°
Find the measure of each angle.
20. m ∠ L
21.
m ∠ P
22. m ∠ VWY
(5x – 12)o
Fill in the blank.
23. If a triangle is equilateral, then it is _________________________.
24. If two angles of a triangle are congruent, then the sides ______________
those angles are congruent.
25. If a triangle is equiangular, then it is _________________.
Name the parts of the figure that match the vocabulary words.
26. base _________
27. legs ______&________
28. base angles ________& ___________
29. vertex angle __________
Find each value.
30. m ∠ D =
31.
GI =
32. t =
Find the value of the variables.
33.
34.
35.
x˚
4y-3
110°
(2x+3)°
(2x + 40)˚
2y +1
Perimeter = 71cm
Use the figure at the right to answer the following questions.
36. m ∠ I = 2x, m ∠ H = x + 20
I
Find x.
Find the measure of each angle.
x= ____ m ∠ I = ____m ∠ G = ____
m ∠ H = _____
G
37. m ∠ I = x + 2, m ∠ H = 3x + 15
Find x.
Find the measure of each angle.
x= ____ m ∠ I = ____m ∠ G = ____
m ∠ H = _____
38. Identify the congruent angles and sides based on the congruence statement
∆MNP ≅ ∆QRS .
Congruent sides:
Congruent angles:
H