Flippin’ Proofs! Proving Lines Parallel

Flippin’ Proofs!
Proving Lines Parallel
Easy Section:
Given: 𝑚∠1 = 56° and
𝑚∠2 = 56°
Prove: 𝑙 ∥ 𝑚
Given: 𝑚∠1 = 65° and
𝑚∠2 = 115°
Prove: 𝑙 ∥ 𝑚
m
l
2
n
1
Given: ∠1 ≅ ∠2
̅̅̅̅ ∥ 𝑆𝑅
̅̅̅̅
Prove: 𝑃𝑄
l
2
n
1
m
R
Q
1
This space is intentionally left blank
2
S
P
Medium Section:
Given: ∠1 and ∠2 are
supplementary;
∠2 and ∠3 are
supplementary
Prove: 𝑃𝑄𝑅𝑆 is a
Parallelogram
Q
1
Given: 𝑚∠1 = 114°,
𝑚∠2 = 66°,
and
𝑚∠3 = 48°
Prove: 𝑙 ∥ 𝑚
l
2
3
P
R
m
S
Given: ∠1 ≅ ∠2 and
∠3 ≅ ∠4
Prove: ̅̅̅̅
𝐴𝐵 ∥ ̅̅̅̅
𝐶𝐷
P
2
3
2
D
D
A
1
E
2
Q 1
C
B
A
Given: ∠1 and ∠2 are
complementary;
∠3 and ∠2 are
complementary;
̅̅̅̅ ∥ 𝑅𝑆
̅̅̅̅
Prove: 𝑄𝑇
n
1
3
T
B
C
3
R
4
S
Hard Section:
Given: ∠1 ≅ ∠2 and
∠3 ≅ ∠4
Prove: 𝑛 ∥ 𝑝
̅̅̅̅ bisects
Given: 𝐵𝐶
̅̅̅̅ bisects
∠𝐴𝐵𝐸; 𝐸𝐷
⃡
⃡
∠𝐹𝐸𝐵; 𝐴𝐵 ∥ 𝐸𝐹
̅̅̅̅ ∥ 𝐸𝐷
̅̅̅̅
Prove: 𝐵𝐶
A
B
1
C
2
E
Given: ∠1 ≅ ∠4 and
∠2 ≅ ∠3
̅̅̅̅
Prove: 𝐴𝐵 ∥ ̅̅̅̅
𝐶𝐷
A
F
E
2
F
H
3
G
This space is also intentionally left blank.
4
V
B
4
C
T
1
D
3
D
Flippin’ Proofs!
Proving Lines Parallel