Question

Eden is cutting two triangular tiles for her bathroom. She needs the tiles to be congruent but is not sure she is cutting them that way. Eden has ensured that one side of both tiles is congruent. Which pair of sides would Eden need to compare in order to make sure the triangles are congruent by HL? triangle ABC with coordinates A at 1 comma 4, B at 2 comma 4, C at 1 comma 1, and a right angle symbol at A and length of AC of 3 units, triangle EFD with coordinates E at 2 comma negative 2, F at one comma negative 2, D at 2 comma 1 and a right angle symbol at E with length of ED of 3 units segment AC and segment EF segment AC and segment FD segment BC and segment EF segment BC and

Answer 1

Answer:

I think its BC and FD

Answer 2

Answer:

Segment FD and segment BC.

Step-by-step explanation:

The HL postulate refers to corresponding Hypothenuse-Leg postulate which is used to demonstrate congruence between two right triangles. These postulate only need two evidences to prove because right triangles already have a congruent angle, so it's like using Side-Angle-Side Postulate.

So, in the given problem, we have to triangles, ABC and EFD, which are both right triangles, and we already have one side or leg congruent: $AC \cong DE$

So, to demonstrate the congruence using HL postulate, we just have to compare both hypothenuses and see if they are congruent: $FD \cong BC$

Therefore, the asnwer is "Eden needs to compare segment FD and segment BC, to demonstrate the congruence by HL postulate.