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Geometry
Sections 4.1, 4.2, 4.3
Name____________________________
I. Define each type of triangle, then sketch and label an example.
Classification
Definition
Sketch
Acute Triangle
Right Triangle
Obtuse Triangle
Equiangular Triangle
Equilateral Triangle
Scalene Triangle
Isosceles Triangle
SOME OF THE THEOREMS YOU NEED TO KNOW…
A. The sum of the measures of the interior angles of a triangle is __________.
B. The acute angles of a right triangle are___________________________.
C. The exterior angle of a triangle is equal to_________________________________________________________.
D. If a triangle is Isosceles, then the base angles are __________________________________________________.
E. What is the connection between Equilateral and Equiangular triangles?__________________________________.
F. When a triangle is Equiangular, the measure of each angle is__________.
G. If the two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles
are_____________________.
H. Two triangles are congruent if and only if__________________________________________________________.
I. Describe what it means to be corresponding angles or corresponding sides. Draw a picture to explain if you need
to.
II. Find the measure of each angle.
1. Find
3. Find
2. Find
4. Given that  RST   LMN. Identify the congruent
corresponding parts.
RS  _____
S  ____
LN  _____
TS  _____
5. Find the value of x.
L  _____
N  ____
6. Find
7. Given that  RST   LMN.
Find each value.
y =________
x =________
The measure of one of the acute angles in a right triangle is given. What is the measure of the other acute angle?
8. 22.6o
9. 41o
10. 24.45o
11. Find m M
12. Find m XYZ
Given: ∆XYZ  ∆NPQ. Identify the congruent corresponding parts.
13. Z  ________
14. YZ  ________
15.  P  ________
16. X  ________
17. NQ  ________
18. PN  ________
Given: ∆EFG  ∆RST. Find each value below.
19. x = ________
20. y = ________
21. F = ________
22. ST = ________
23. Find m  A
24. Find BC