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Geometry Unit 6 Team Practice
Name: ______________________________________
1. State the triangle congruence property (shortcut) that makes each pair of triangles congruent. If they are
not necessarily congruent, write NEI for the answer.
NEI
SAS
AAS
AAS
AAS
HL
ASA
NEI
ASA
NEI
SSS
NEI
AAS
HL
2. In each diagram below, determine if the triangles are congruent.
If yes make flowchart proofs on a separate sheet of paper.
3. Write the converse of the statement. If the converse is false, give a counterexample.
a. If two angles are vertical, then they are congruent. T
If 2 angles are congruent, then they are vertical. F
These two right angles are congruent, yet they are NOT vertical.
b. If two shapes are squares, then they are rectangles.
If two shapes are rectangles then they are squares.
c. If it is cloudy, then it will rain.
If it rains then it will be cloudy.
4. Jane has 12 green marbles, 15 blue marbles, and 23 red marbles.
a. What’s probability of selecting a red marble?
P(R)=23/50 (reduce if necessary)
b. What’s the probability of selecting a green marble?
P(G)=12/50 (reduce if necessary)
c. Find P(color of the flag).
P(flag)=38/50 (reduce if necessary)
d. Find P( primary color).
P(primary)=50/50 (reduce if necessary)
5. Solve for x:
2( x - 6) - 5  50
2 x  12  5  50
a.
2 x  67
x  33.5
6.
3x  5 x  7  107  2 x
8 x  7  107  2 x
b.
10 x  100
x  10
3
2 5
x 
4
3 6
2
3
24  x  
3
4
c. 18 x  16  20
5

6
18 x  36
x2
Find the area and perimeter of each of these figures.
a.
b.
A  12  6  20 10
 130cm2
P  6  12  16  20
 54cm
A  12 8  2810
 180cm2
c.
P  15  8  12  28
 63cm
d. Explain.
a) A  12  6  7
b) A  12  4  7
 21cm2
no P
 14cm2
yes, same base & same height.
A  12 (9)(5)
 22.5cm2
7.
Identify all angle pair relationships, and state whether the angles are congruent or supplementary.
Here are some:
1 & 3 –vertical
1 & 5 -- corresponding
2 & 5 – SS int
1 & 7—alt ext
2 & 8—alt inter
1 & 6 – SS exterior