Question

4. Use the diagram to complete the proof by filling in the blanks.

Given: RT and PQ intersect at point S so that
RS = PS and ST = SQ.
Prove: RT = PQ

Answer 1

Explanation:

substitution property :

we know that

RS + ST = PS + SQ

RS + ST = RT

PS + SQ = PQ

now we can use RT and PQ as substitutes in the first equation and we get

RT = PQ