ΔAXY is similar to ΔABC.

triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C

Which of the following expressions could be used to determine the length of segment BC?

A. BC = AC
B. BC = XY
C. BC equals XY times AX over AB
D. BC equals XY times AB over AX

the triangles are similar. that means all the angles are equal. and that means that XY is parallel to BC (which is not really the case in the graphic, so don't let yourself get confused by that attempt of your teacher to fool you).

and it also means that the lengths of all sides of one triangle relate to the lengths of the corresponding sides in the other triangle by the same scaling factor.

so,

BC / XY = AB / AX (and also AC / AY)

out of this we can then make the transformation :

BC = (AB / AX) × XY

or, of course (as multiplication is commutative : the sequence does not matter)

BC = XY × (AB / AX)

which is exactly what D says.

akposevictor akposevictor · Answer 2 · 2022-04-14T13:41:33+02:00

The expression that would be used to find BC if ΔAXY and ΔABC are similar triangles is: D. BC/XY = AB/AX.

What are Similar Triangles?

Given that two triangles are similar to each other, the ratio of their corresponding side lenghts would be the same, which means they are proportional.

Given that ΔAXY is similar to ΔABC, therefore:

AB/AX = BC/XY = AC/AY (proportional)

Therefore, the expression that would be used to find BC if ΔAXY and ΔABC are similar triangles is: D. BC/XY = AB/AX.

Learn more about similar triangles on:

https://brainly.com/question/14285697