Question

Triangle CDX is similar to triangle ABX. Which proportion can be used to find the length of side CD?

A) AB BX = CD CX
B) AB CD = AX CX
C) AB CD = BX CX
D) AB BX = CD AX

Answer 1

Answer: B)
`(AB)/(CD)=(AX)/(CX)`

Explanation:

Given: Triangle CDX is similar to triangle ABX.

Then, CD is corresponding to AB

DX is corresponding to BX

CX is corresponding to AX

We know that in similar triangles, the corresponding sides are proportional .

Therefore, we have

`(AB)/(CD)=(BX)/(DX)=(AX)/(CX)`

Thus, from the given options, the proportion can be used to find the length of side CD is
`(AB)/(CD)=(AX)/(CX)`

Answer 2

The proportion that can be used to find the length of side CD is ABCD = AXCX. Side AB corresponds to side CD and side AX corresponds to side CX.