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Geometry Practice Quiz
Use the diagram to the right to answer Questions #1 – #5.
1.
T or F: Another name for plane P is plane CDF.
2.
T or F: The intersection of the horizontal plane and
the vertical plane is point D.
B
F
C
D
E
P
A
3.
T or F: Points G and F are coplanar.
4.
T or F: Only one line can pass through point C.
5.
T or F: CE and AB intersect at point D.
G
In Questions #6 – #13, identify the algebra property illustrated.
6.
3( x + 4) = 3x +12
7.
If x − 7 = 1, then x = 8.
8.
If AB ≅ CD, then CD ≅ AB.
9.
If 2x = 24, then x = 12.
10.
If 3x +1 = −8, then 3x = −9.
11.
∠1≅∠1
12.
If
13.
If x + y = 10 and y = 2, then x + 2 = 10.
x
= 10, then x = 40.
4
In Question #14, solve the equation and write a reason for each step.
14.
2( x − 4) + 3x = 4x −10
Original equation
Combine like terms.
In Questions #15 – #20, identify the postulate, definition, or theorem illustrated.
15.
If ∠ 1 and ∠ 2 are vertical angles, then ∠ 1 ≅ ∠ 2.
16.
If ∠ A is a right angle, then m∠ A = 90º.
17.
If ∠ 3 and ∠ 4 are complementary, then m∠ 3 + m∠ 4 = 90º.
18.
If point R lies between points S and T on ST , then ST = SR + RT
19.
∠ 1 and ∠ 2 are supplementary. ∠ 2 and ∠ 3 are supplementary. Therefore, ∠ 1 ≅ ∠ 3.
20.
If ∠ J and ∠ K form a linear pair, then ∠ J and ∠ K are supplementary.
In Question #21, fill in the blanks to complete the following proof, using the diagram
to the right.
21.
GIVEN: ∠ 1 ≅ ∠ 3
B
PROVE: ∠ BAD ≅ ∠ CAE
C
1
D
2
3
A
STATEMENT
≅
1) ∠ 1 ∠ 3
2) _______________________________________
2) Definition of congruent
3)
3) m∠ 1 + m∠
3) Addition Property
= m∠ 3 + m∠
+ m∠
1)
4) Angle Addition Postulate
4) m∠ 1 + m∠ 2 = m∠
5) m∠
REASON
= m∠
5)
6) m∠ BAD = m∠ CAE
6)
7)_____________________________
7) Definition of Congruent
E
In Question #22, fill in the blanks to complete the following proof, using the diagram
to the right.
22.
GIVEN: WY ≅ XZ
W
X
Y
PROVE: WX ≅ YZ
STATEMENT
REASON
1) WY ≅ XZ
1)
2)_____________________________
2)Definition of Congruent
3) WY =
3) Segment Addition Postulate
4)
+
= XY + YZ
5) WX + XY =
6)
Z
4)
+
5) Substitution Property
6)
In Question #23 and 24, fill in the blanks to complete the following proof, using the
diagram to the right.
23.
7.
7. Definition of congruent
24.