given: SH congruent to ST; A is midpoint of HT. Prove: <H is congruent to <T

Question

the diagram is a triangle and His on the left S is at the top of the triangle T is on the right bottom and with the line down the middle of the triangle is A

Answer 1

Hi Jordan!

I believe this is the figure based on what you described.

Hopefully formats ok!

S

/\

/ | \

/ | \

____ | ____

/ | \

/ | \

H /------------|---------- \ T

A

Statement Reason

SH ≅ ST Given

A is Midpoint of HT Given

HA ≅ TA A midpoint divides a segment into 2 congruent parts

SA ≅ SA Reflexive property

ΔSAH ≅ ΔSAT SSS

∠H ≅ ∠T Corresponding parts of congruent Δ's are congruent