Respuesta :

Answer:

Q1

  • The  opposite sides are two pairs of parallel lines.
  • WY is transversal
  • Angles 1 and 3 are congruent as alternate interior angles, same applies to angles 2 and 4.
  • WY is the shared side and congruent to itself.

So we have two angles and the included side congruent to corresponding parts of the other triangle.

  • 1≅3, 2≅4, WY≅WY
  • ΔWXY ≅ ΔYZW

This is called angle-side-angle or ASA

Correct choice is

  • C. Yes, ASA theorem

Q2

Preimage is CP = 12, image is CP' = 3

Scale factor is:

  • k = 3/12 = 1/4

This is a 4 times reduction

Correct option is D:

  • k = 1/4, reduction