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Given. QR I PT and Prove: APQR – ATSR
Angles
Segments
Triangles Statements Reasons
ZQPR
ZQRP

Statements:

1.QR⊥PT and ∠PQR≅∠STR

2. ∠QRP and ∠SRT are congruent

3. ∠QPR and ∠STR are congruent

4. ΔPQR ~ ΔTSR

Reasons:

1. Given

2. Definition of Perpendicular Lines

3. Third Angles Congruence Theorem

4. AAA Similarity Theorem(if all three angles are congruent, then the triangles are similar)

QR⊥PT and ∠PQR≅∠STR: given

∠QRP and ∠SRT are congruent: both are 90°

∠QPR and ∠STR are congruent: ∠PQR≅∠STR

∠PQR and ∠TSR are congruent: total angle in a triangle is 180°

ΔPQR ~ ΔTSR: AAA postulate

180 square centimeters

step-by-step explanation:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)