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B R X N G

B R X N G

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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Figure BQRT ~ Figure XZGJ. What are the pair of congruent angles?

A. R=G, B=X, Q=Z, and T=J

B. B=G, Q=X, R=Z, and T=J

C. T=X, R=Z, Q=G, and B=J

D. Q=J, R=X, T=Z, and B=G

### Understanding Quadrilaterals and Triangles In this lesson, we will explore two geometric figures: a quadrilateral and a triangle, both featuring specific angle measures and relationships. #### Figure Analysis **Left Figure (Quadrilateral BQRT):** - This figure is a quadrilateral, named BQRT. - It has two right angles, marked with small squares, located at vertices B and T. - Angle B and angle T are both 90 degrees. - Angle Q and angle R each have one arc with a cross (x) inside, indicating that these angles are congruent (equal in measure). **Right Figure (Quadrilateral JXGZ):** - This figure is a quadrilateral, named JXGZ. - It has two right angles, marked with small squares, located at vertices X and J. - Angle X and angle J are both 90 degrees. - Angle Z and angle G each have one arc with a cross (x) inside, indicating that these angles are congruent (equal in measure). These diagrams illustrate the concepts of right angles and congruent angles within quadrilaterals, providing a clear visual representation of these geometric properties. Using these diagrams, students can better understand how different angles interact within various polygons, and particularly within quadrilaterals and triangles.
Transcribed Image Text:### Understanding Quadrilaterals and Triangles In this lesson, we will explore two geometric figures: a quadrilateral and a triangle, both featuring specific angle measures and relationships. #### Figure Analysis **Left Figure (Quadrilateral BQRT):** - This figure is a quadrilateral, named BQRT. - It has two right angles, marked with small squares, located at vertices B and T. - Angle B and angle T are both 90 degrees. - Angle Q and angle R each have one arc with a cross (x) inside, indicating that these angles are congruent (equal in measure). **Right Figure (Quadrilateral JXGZ):** - This figure is a quadrilateral, named JXGZ. - It has two right angles, marked with small squares, located at vertices X and J. - Angle X and angle J are both 90 degrees. - Angle Z and angle G each have one arc with a cross (x) inside, indicating that these angles are congruent (equal in measure). These diagrams illustrate the concepts of right angles and congruent angles within quadrilaterals, providing a clear visual representation of these geometric properties. Using these diagrams, students can better understand how different angles interact within various polygons, and particularly within quadrilaterals and triangles.
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