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Name:
Chapter 4 Review
Date:
Geometry
4.1
Triangles and Angles
1.
Classification by sides – What are the three ways we can classify a triangle by its sides?
_______________, _______________, and _______________
2.
Classification by angles – What are the four ways we can classify a triangle by its angles?
_______________, _______________, _______________, and _______________
3.
Draw a right triangle. Label the legs
and hypotenuse.
5.
Classify each triangle by its angles and by its sides.
4.
Draw an isosceles triangle. Label the
legs, base, vertex angle, and base
angles.
___________ and ___________
___________ and ___________
___________ and ___________
___________ and ___________
6.
Explain the triangle sum theorem in words and Then, draw a diagram.
7.
Explain the exterior angle theorem.
8.
Solve for the variables.
42°
(84+x)°
(4x)°
9.
The variable expressions represent the angle measures of a triangle. Find the measure
of each angle. Then classify the triangle by its sides and angles.
m∠A = (6x +11)
m∠B = (3x + 2)
m∠C = (5x – 1)
4.6
Isosceles, Equilateral, and Right Triangles
10.
What is special about isosceles
triangles?
4.2
Congruence and Triangles
12.
Explain the third angles theorem.
13.
What does it mean when two triangles are congruent?
11.
What is special about equiangular
triangles?
Informal definition –
Formal definition –
N
14.
F
In the diagram at the right, FGH≅LMN.
MN=_____
GF ≅ _____
m∠N=_____
∠F ≅ _____
6 cm
9 cm
52°
L
25°
G
7 cm
H
M
15.
Given ABC≅DEF, find the values of x and y.
4.3, 4.4, 4.5, 4.6 SSS, SAS, ASA, AAS, HL, and CPCTC
Sketch an example of SSS congruence
Sketch an example of SAS congruence
Sketch an example of ASA congruence
Sketch an example of AAS congruence
Sketch an example of HL congruence
What does CPCTC stand for?
What must you do in a proof before you can
use CPCTC?
16.
Are the triangles congruent? If so, state a reason. Then write a congruence statement.
17.
Write a 2 column proof.
18.
Write a 2 column proof.
19.
Write a 2 column proof.
Statements
Reasons
Statements
Reasons
Statements
Reasons
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