Question

In a word processing document or on a separate piece of paper use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ST RS SQ and STR = SQR submit the entire proof to your instructor
Given
RS ST
RS SQ
STR = SQR
prove
RST RSQ

Answer 1

Pretend there is a line down the middle of the columns;
Statements:                                          Reasons:
RS is congurent to ST                         Given
RS is congruent to SQ                        Given
Angle STR = SQR                               Given
RS is congruent to RS                        Definition of reflective sides
RST is congruent RSQ                       SAS (Side- angle- side theorem)

I tried my best, but when you said STR= SQR, I did not know if you meant the angles or sides. I guessed you meant angles. Please double check my answer to make sure if I am right.

Answer 2

Answer:

given:

rs ⊥ st

rs ⊥ sq

∠str ≅ ∠sqr

prove:

△rst ≅ △rsq

rs ⊥ st,

rs ⊥ sq,

∠str ≅ ∠sqr

△rst ≅ △rsq