Question

Figure ABCDE ≌ figure FGHIJ, AB = 16, CD = 10, and EA = 12.

What is the measure of HI?

Answer 1

So if they're congruent you can assume to HI is the same as CD (since they should be written in the same order, so HI would equal 10.

Answer 2

Answer: The measure of HI is 10.

Explanation:

Given: Figure ABCDE ≌ figure FGHIJ

We know that if two figures are congruent then their corresponding sides are congruent.

Therefore, segment AB=segment FG

segment BC=segment GH

segment CD=segment HI...........(*)

segment DE=segment IJ

segment EA=segment JF

From (*), segment HI=segment CD

Since, segment CD = 10 units

Then, segment HI= 10 units.

Therefore, the measure of HI= 10 units.