PLEASE HELP ASAP! WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Use ΔABC shown below to answer the question that follows: (goes with picture)

Which of the following must be given to prove that ΔABC is similar to ΔDBA?

a. Segment AD is an altitude of ΔABC.
b. Segment CB is a hypotenuse.
c. Segment CA is shorter than segment BA.
d. Angle C is congruent to itself.

PLEASE HELP ASAP WILL GIVE BRAINLIEST Use ΔABC shown below to answer the question that follows goes with picture Which of the following must be given to prove t class=

Respuesta :

I think its c. Segment CA is shorter than segment BA. because its the most relevant and correct out of all the choices

Answer:

option: A is correct.

Step-by-step explanation:

for the two triangles  ΔABC and ΔDBA to be similar the segment AD must be an altitude of ΔABC.

Theorem: If an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.

As in ΔABC; ∠A=90° and we draw an altitude from A to the side BC. hence the two triangles formed i.e. ΔDBA and ΔDAC will be similar to ΔABC.

Hence by the theorem it holds that  ΔABC is similar to ΔDBA.

Hence, option A is correct.