Which pair of angles are congruent? 4 5 6 7 8 A. 3 and 4 B. 5 and 6 C. 1 and 8 D. 3 and 5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.3: Parallel And Perpendicular Lines
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**Question: Which pair of angles are congruent?**

[Diagram Explanation]
The diagram contains two parallel horizontal lines intersected by a diagonal line (transversal).

- The angles formed at the points of intersection are numbered as follows:
  - At the top point of intersection:
    - Angle 1 (above the intersecting diagonal line, to the left)
    - Angle 2 (above the intersecting diagonal line, to the right)
    - Angle 3 (below the intersecting diagonal line, to the left)
    - Angle 4 (below the intersecting diagonal line, to the right)
  - At the bottom point of intersection:
    - Angle 5 (above the intersecting diagonal line, to the left)
    - Angle 6 (above the intersecting diagonal line, to the right)
    - Angle 7 (below the intersecting diagonal line, to the left)
    - Angle 8 (below the intersecting diagonal line, to the right)

**Options:**
- A. 3 and 4
- B. 5 and 6
- C. 1 and 8
- D. 3 and 5

**Copyright:**
- © 2003 - 2021 Acellus Corporation. All Rights Reserved.

In this context, congruent angles are angles that have the same measure. Since the diagram features parallel lines intersected by a transversal, certain pairs of non-adjacent angles formed are congruent. 

**Educational Explanation:**
In this setup with parallel lines and a transversal, angles in corresponding positions are congruent. For example, angle 3 and angle 5 are corresponding angles and thus congruent. This knowledge is essential when studying the properties of parallel lines and transversals in geometry.
Transcribed Image Text:**Question: Which pair of angles are congruent?** [Diagram Explanation] The diagram contains two parallel horizontal lines intersected by a diagonal line (transversal). - The angles formed at the points of intersection are numbered as follows: - At the top point of intersection: - Angle 1 (above the intersecting diagonal line, to the left) - Angle 2 (above the intersecting diagonal line, to the right) - Angle 3 (below the intersecting diagonal line, to the left) - Angle 4 (below the intersecting diagonal line, to the right) - At the bottom point of intersection: - Angle 5 (above the intersecting diagonal line, to the left) - Angle 6 (above the intersecting diagonal line, to the right) - Angle 7 (below the intersecting diagonal line, to the left) - Angle 8 (below the intersecting diagonal line, to the right) **Options:** - A. 3 and 4 - B. 5 and 6 - C. 1 and 8 - D. 3 and 5 **Copyright:** - © 2003 - 2021 Acellus Corporation. All Rights Reserved. In this context, congruent angles are angles that have the same measure. Since the diagram features parallel lines intersected by a transversal, certain pairs of non-adjacent angles formed are congruent. **Educational Explanation:** In this setup with parallel lines and a transversal, angles in corresponding positions are congruent. For example, angle 3 and angle 5 are corresponding angles and thus congruent. This knowledge is essential when studying the properties of parallel lines and transversals in geometry.
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