An Incomplete verslon of Manud's proof is shown below. Proof Statements Reasone 1. PQ-RQ 1. Given 2. MZPOS- mzROS 2. OS bisects ZPOR 3. OS = OS 3. Refledve Property 4. 4. 5. MZOPS- M2QRS 5. Manuel is trying to prove the following theorem. If two sides of a triangle are congruent, then the angles opposite these sides are congruent. First, Manuel draws isosceles triangle PQR, and then he adds an auxiliary line that bisects Z POR. What should be the statement for Step 4 of Manuel's proof? O PS 2 SR O ZPQR is a right angle O APQS 2 A RQS O ZPSQ 2 LRSQ

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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An Incomplete verslon of Manud's proof is shown below.
Proof
Statements
Reasone
1. PQ-RO
2. m/POS- meAOS 2. OS bisocts ZPOR
1. Given
3. OS QS
3. Reflexive Property
4.
4.
5. MZOPS M2QRS 5.
Manuel is trying to prove the following theorem. If two sides of a triangle are congruent, then the angles opposite these sides are
congruent. First, Manuel draws isosceles triangle PQR, and then he adds an auxiliary line that bisects Z POR.
What should be the statement for Step 4 of Manuel's proof?
O PS SR
O ZPQR is a right angle
O APQS = A RQS
O LPSQ 2 LRSQ
4.
5
7
8.
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Transcribed Image Text:An Incomplete verslon of Manud's proof is shown below. Proof Statements Reasone 1. PQ-RO 2. m/POS- meAOS 2. OS bisocts ZPOR 1. Given 3. OS QS 3. Reflexive Property 4. 4. 5. MZOPS M2QRS 5. Manuel is trying to prove the following theorem. If two sides of a triangle are congruent, then the angles opposite these sides are congruent. First, Manuel draws isosceles triangle PQR, and then he adds an auxiliary line that bisects Z POR. What should be the statement for Step 4 of Manuel's proof? O PS SR O ZPQR is a right angle O APQS = A RQS O LPSQ 2 LRSQ 4. 5 7 8. 10 11 12 13 DELL 女 -> @ 23 2$ & 1 2 4 7 W e t y d f k a S C V alt alt * 0
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