Pearl's Proof is incorrect.
The theorem is to proof ∠AKL≅ ∠FLK.
The real proof is as follows:
- Line AB ║ EF with transversal segment Gj
- Angle AKL is congruent to angle GKB . (Vertical Angles Theorem)
- Angle GKB is congruent to angle FLK (Corresponding Angles Theorem)
- angle AKL is congruent to angle FLK (Transitive Property)
Therefore, Tonya's Proof is definitely right and Pearl's Proof is definitely wrong.
The second proof of pearl was wrong. Angle AKL is congruent to angle GKB but they are not adjacent angles.
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Answer:
x = -8
Step-by-step explanation:
-23 + 7 = -16
-16 ÷ 2 = -8
2 × -8 =-16 - 7 = -23
Answer:
(-3,2)
Step-by-step explanation:
When the point P(x,y) is reflected in the line , the mapping is
.
The image of (1,2) after a reflection about x = 6 is
.
.
.
When the resulting point is again reflected in the line x=4, we obtain
.
.
.
Therefore the image of (1,2) after a
reflection about x = 6 followed by a
reflection about x = 4 is (-3,2)
Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3