Download ACCL Unit 4 Part 3 - Proofs Extra Practice

Name & Date
ACCELERATED Unit 4 Part 3 – Geometric Proofs Extra Practice
1)
M
Given: N is the midpoint of MP
Q is the midpoint RP ; PQ @ NM
N
Prove: PN @ QR
P
Q
Statements
2)
Given:
R
Reasons
bisects
E
bisects
Prove:
D
C
F
Statements
B
Reasons
3)
Given: AB @ CD
C is the midpoint of BD
A
B
C
D
Prove: B is the midpoint of AC
Statements
Reasons
A
4)
Given:
bisects
Prove:
bisects
D
F
1
3
2
4
C
Statements
G
H
Reasons
Algebra & Analytic Geometry
Proofs Practice
5)
Name & Date
x
Given: a//b, b//c, x//y
a
Prove: Ð2 @ Ð23
(Be careful!)
b
c
Statements
6)
y
1 2
5 6
9 10
13 14
17 18
21 22
3 4
7 8
11 12
15 16
19
20
23 24
Reasons
Given: C and B on circle A
A and C on circle B
Prove: DABC is equilateral
Statements
Reasons
For the following proof, you may explain your reasons when uncertain of the name of a definition.
7)
Given:
1
Prove: The sum of the angles in a triangle
are 180°
A
Statements
l
B
// AC
2
3
4
5
Reasons
C