A child is on a swingset at a playground. Their parent gives them one big puch where they travel 20 feet on the first back-and-forth swing. Each successive swing back-and-forth only travels 3/4 as far. What is the total number of feet the
child will travel back-and-forth before the swing comes to a complete stop?

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

answer: corresponding angles

explanation: both angles are at two different sides which makes it seem like a would be the right choice however both are exactly the same, no matter of their placement both have the same degree

a could be the answer just as much as c, some more info would us answer. hope this