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A. Directions: Use the given figure to answer 1-5. 1. If TI TEB, name two congruent angles. 2. If 21 a 24, name two congruent segments. 3. If DB EB, name two congruent angles. 4. If 25 a 28, name two congruent segments. 5. If IF BG, name two congruent angles.

A. Directions: Use the given figure to answer 1-5. 1. If TI TEB, name two congruent angles. 2. If 21 a 24, name two congruent segments. 3. If DB EB, name two congruent angles. 4. If 25 a 28, name two congruent segments. 5. If IF BG, name two congruent angles.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6. Transitive Property 6. DN = NG 7. ADNG is an isosceles triangle 8. ZDa ZG 9. ZDON LGON 7. Definition of Isosceles Triangle 8. Isosceles Triangle Theorem 9. Right angles are congruent. 10. SAA Congruence Theorem | 11. Transitive Property 10. ADON a AGON 11. AMAR ADON HyL (Hypotenuse Leg) Congruence Theorem If a leg and the hypotenuse of one right triangle are congruent to a leg and the hypotenuse of another right triangle, then the triangles are congruent. We can now summarize the methods available for proving triangles that are congruent. These are: For Right Triangles Only 1. LL Congruence Theorem 2. LA Congruence Theorem 3. HyA Congruence Theorem 4. Hyl. Congruence Theorem For All Triangles 1. SAS Congruence Postulate 2. ASA Congruence Postulate 3. SSS Congruence Postulate 4. AAS or SAA Congruence Theorem ACTIVITY 1 A. Directions: Use the given figure to answer 1-5. 16 F AG 3 D E 1. If HB IB, name two congruent angles. 2. If 21 24, name two congruent segments. 3. If DB EB, name two congruent angles. 4. If 25 28, name two congruent segments. 5. If BF BG, name two congruent angles. ACTIVITY 2 A. Directions: Find the value of x. 1. AAD 2. 3. 3-1 17 57 4. In AMTK, MT = TK, mZM = 5x -10 and mZK = 3x + 20. 5. In AMER, ME= ER, mZM = 7x -4 and mZR = 5x + 12.
Transcribed Image Text:6. Transitive Property 6. DN = NG 7. ADNG is an isosceles triangle 8. ZDa ZG 9. ZDON LGON 7. Definition of Isosceles Triangle 8. Isosceles Triangle Theorem 9. Right angles are congruent. 10. SAA Congruence Theorem | 11. Transitive Property 10. ADON a AGON 11. AMAR ADON HyL (Hypotenuse Leg) Congruence Theorem If a leg and the hypotenuse of one right triangle are congruent to a leg and the hypotenuse of another right triangle, then the triangles are congruent. We can now summarize the methods available for proving triangles that are congruent. These are: For Right Triangles Only 1. LL Congruence Theorem 2. LA Congruence Theorem 3. HyA Congruence Theorem 4. Hyl. Congruence Theorem For All Triangles 1. SAS Congruence Postulate 2. ASA Congruence Postulate 3. SSS Congruence Postulate 4. AAS or SAA Congruence Theorem ACTIVITY 1 A. Directions: Use the given figure to answer 1-5. 16 F AG 3 D E 1. If HB IB, name two congruent angles. 2. If 21 24, name two congruent segments. 3. If DB EB, name two congruent angles. 4. If 25 28, name two congruent segments. 5. If BF BG, name two congruent angles. ACTIVITY 2 A. Directions: Find the value of x. 1. AAD 2. 3. 3-1 17 57 4. In AMTK, MT = TK, mZM = 5x -10 and mZK = 3x + 20. 5. In AMER, ME= ER, mZM = 7x -4 and mZR = 5x + 12.
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