In the given figure, AQRTnd ASTRare isosceles triangles. The vertex angles, ZQRT' and ZSTR are congruent as shown in the diagram.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 38E: In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent...
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In the given figure, AQRI'and ASTRare isosceles triangles.
The vertex angles, ZQRT and ZSTR are congruent as shown in the diagram.
Drag the missing reasons from the word bank below to complete the proof.
Reasons
Statements
1. AQRT and ASTR are isosceles
triangles
ZQRTZSTR
12
2 RQ RT, TR TS
3 TR RT
4. RQ TS
5 RQ TS
6 ORST is a parallelonram
Transcribed Image Text:Mathway | Algebra.. Pt Periodic Table - Pta.. E Scientific Calculator Gravitational Force... O Conservation of Mo.. E Kinetic Energy Calc. In the given figure, AQRI'and ASTRare isosceles triangles. The vertex angles, ZQRT and ZSTR are congruent as shown in the diagram. Drag the missing reasons from the word bank below to complete the proof. Reasons Statements 1. AQRT and ASTR are isosceles triangles ZQRTZSTR 12 2 RQ RT, TR TS 3 TR RT 4. RQ TS 5 RQ TS 6 ORST is a parallelonram
3.
Re RT
- TS
4.
5.
| TS
ST is a parallelogram
# Opposite sides are congruent and paralel
# Refexive Property
# Transitive Property
2 Converse of Alternate Interior Angles Theorem
: Given
: Definition of an isosceles triangle
Transcribed Image Text:3. Re RT - TS 4. 5. | TS ST is a parallelogram # Opposite sides are congruent and paralel # Refexive Property # Transitive Property 2 Converse of Alternate Interior Angles Theorem : Given : Definition of an isosceles triangle
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