Question

Point Q" is the image of point Q after a composition of transformations: A reflection over line m, followed by a reflection over line n.

If m and n intersect to form a 44 degree angle, what is the angle of rotation from Q to Q" about the point of intersection?

Answer choices:
A. 22
B. 136
C. 44
D. 88

Answer 1

The angle of rotation from Q to Q" is 88°.

Step-by-step explanation:

When a point undergoes a composition of transformations involving reflections over two intersecting lines, the overall effect is equivalent to a rotation around the point of intersection.

Specifically, if the lines intersect at a certain angle, the angle of rotation will be twice that angle.

In this case, the angle of rotation from Q to Q" is 2 times the angle formed by lines m and n, which is 2 × 44° = 88°.

Therefore, the correct answer is D. 88.

Answer 2

B. 136 °

Step-by-step explanation:

Given: m and n intersect to form a 44° degree angle

⇒ (180 - 44)°

⇒ 136 °

Answer: B. 136 degrees