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Answer PART 1 and PART 2

Answer PART 1 and PART 2

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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Answer PART 1 and PART 2

For the diagram below, complete the congruence statement: \( \triangle BAC \cong \) _____ There are two right triangles shown: 1. **Triangle BAC**: - A right triangle with the right angle at vertex B. - Sides: \( AB \), \( BC \), and hypotenuse \( AC \). - \( AB \) is perpendicular to \( BC \), forming the right angle. - Two sides, \( AB \) and \( AC \), are marked with a single congruence tick. 2. **Triangle XYZ**: - A right triangle with the right angle at vertex Y. - Sides: \( XY \), \( YZ \), and hypotenuse \( XZ \). - \( XY \) is perpendicular to \( YZ \), forming the right angle. - Two sides, \( XY \) and \( XZ \), are marked with a single congruence tick. Given these triangles, the task is to determine which triangle \( BAC \) is congruent to, using the side and angle markings. Options to choose from: - \( \triangle XZY \) - \( \triangle YZX \) - \( \triangle YXZ \) - \( \triangle XYZ \)
Transcribed Image Text:For the diagram below, complete the congruence statement: \( \triangle BAC \cong \) _____ There are two right triangles shown: 1. **Triangle BAC**: - A right triangle with the right angle at vertex B. - Sides: \( AB \), \( BC \), and hypotenuse \( AC \). - \( AB \) is perpendicular to \( BC \), forming the right angle. - Two sides, \( AB \) and \( AC \), are marked with a single congruence tick. 2. **Triangle XYZ**: - A right triangle with the right angle at vertex Y. - Sides: \( XY \), \( YZ \), and hypotenuse \( XZ \). - \( XY \) is perpendicular to \( YZ \), forming the right angle. - Two sides, \( XY \) and \( XZ \), are marked with a single congruence tick. Given these triangles, the task is to determine which triangle \( BAC \) is congruent to, using the side and angle markings. Options to choose from: - \( \triangle XZY \) - \( \triangle YZX \) - \( \triangle YXZ \) - \( \triangle XYZ \)
**Question:** What does it mean to say that two triangles are congruent? **Options:** - The angles in the first triangle are congruent to the angles in the second triangle. - The corresponding sides and angles are congruent. - The sides of the first triangle are congruent to the sides of the second triangle. - They look the same when drawn on paper. (Note: There are no graphs or diagrams in this image.)
Transcribed Image Text:**Question:** What does it mean to say that two triangles are congruent? **Options:** - The angles in the first triangle are congruent to the angles in the second triangle. - The corresponding sides and angles are congruent. - The sides of the first triangle are congruent to the sides of the second triangle. - They look the same when drawn on paper. (Note: There are no graphs or diagrams in this image.)
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