Answer:
#7 m∠4 = 30°
#8. m∠5 = 150
#22. A'(-6, -3), B'(-3, 4), C'(3, 5)
*** You may just want to put the coordinate points: (-6, -3), (-3, 4), (3, 5) without the A', B', C'. ***
#23. A'(6, -3), B'(3, 4), C'(-3, 5)
Explanation:
#7 Angles 30° and ∠4 are corresponding angles and hence equal
#8 ∠4 and ∠5 are supplementary linear angles and add up to 180° So m∠5 = 180 - m∠4 = 180 - 30 = 150°
#22 Reflection about the x-axis means the x-coordinates do not change but the new y-coordinate is the negative of the original y coordinate
In other words, a point(x, y) in the pre-image becomes (x, -y) in the image
#23 With a 180° rotation both x and y axes change signs. (x, y) becomes (-x, -y)