Question

CX is an altitude in triangle ABC. Which statements are true? Check all that apply.

Answer 1

Answer:

ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

Step-by-step explanation:

We must match up corresponding angles in the similarity statements.

∠A in ΔAXC will match ∠A in ΔABC as well as ∠C in ΔCXB.

∠X in ΔAXC will match ∠C in ΔABC as well as ∠X in ΔCXB.

∠C in ΔAXC will match ∠B in ΔABC as well as ∠B in ΔCXB.

Using this information, the only ones that match are ΔAXC ~ ΔCXB  and ΔACB ~ ΔAXC.

Answer 2

Answer

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC