Question

Match the following reasons with the statements given. Given: R = Q AS = AT Prove: RS = QT. 1. ∠R = ∠Q, AS = AT Given 2. ∠5 = ∠6 Base ∠'s of isosceles triangle are = 3. ∠4, ∠5 are supplementary and ∠6, ∠7 are supplementary Exterior sides in opposite rays 4. ∠4 = ∠7 CPCTE 5. Triangle RAS congruent to Triangle QAT Two ∠'s supplementary to equal ∠'s are = 6. RS = QT AAS

Answer 1

∠R = ∠Q, AS = AT Given

∠5 = ∠6 Base ∠'s of isosceles triangle are =

∠4, ∠5 are supplementary and ∠6, ∠7 are supplementary Exterior sides in opposite rays

∠4 = ∠7 Two ∠'s supplementary to equal ∠'s are =

Triangle RAS congruent to Triangle QAT AAS

RS = QT CPCTE

Explanation:

Answer 2

∠R = ∠Q, AS = AT Given

∠5 = ∠6 Base ∠'s of isosceles triangle are =

∠4, ∠5 are supplementary and ∠6, ∠7 are supplementary Exterior sides in opposite rays

∠4 = ∠7 Two ∠'s supplementary to equal ∠'s are =

Triangle RAS congruent to Triangle QAT AAS

RS = QT CPCTE