Question

How do you solve this

Answer 1

the first one ASA or AAS

Explanation:

There is no AAA congruency

The are no right angle marked on diagram so, no HL

There are vertical angles and the parallel lines create congruent Alternate Interior Angles

Answer 2

II and III

Explanation:

In ΔSRT & ΔVUT

∠STR = ∠VTU {Vertically opposite angles}

RT = UT {Given}

∠SRT = ∠VUT {UV //RS and UR is transversal; alternate interior angles}

ΔSRT ≅ ΔVUT {A S A congruent}

In ΔSRT & ΔVUT

∠RST = ∠UVT {UV //RS and SV is transversal; alternate interior angles}

∠SRT = ∠VUT {UV //RS and UR is transversal; alternate interior angles}

RT = UT {given}

ΔSRT ≅ ΔVUT {A A S congruent}