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1. essential question what angle relationships are created when paralle…

When parallel lines are intersected by a transversal, the angle relationships include: equal corresponding angles, equal alternate interior angles, equal alternate exterior angles…

分类: geometry 更新时间: 2026-02-04

题目

  1. essential question what angle relationships are created when parallel lines are intersected by a transversal? enter your answer. check answer

解题步骤

  1. Understand the question
    1. essential question what angle relationships are created when parallel lines are intersected by a transversal? enter your answer. check answer
  2. Brief Explanations

    When parallel lines are cut by a transversal, several angle relationships occur. Corresponding angles are equal (e.g., if one angle is at the top - left of a transversal - intersection with one parallel line, the corresponding angle at the same relative position with the other parallel line is equal). Alternate interior angles are equal (angles between the parallel lines, on opposite sides of the transversal). Alternate exterior angles are equal (angles outside the parallel lines, on opposite sides of the transversal). Also, consecutive interior angles are supplementary (their sum is \(180^{\circ}\)). Vertical angles (opposite angles formed by the intersection of two lines, here the transversal and each parallel line) are equal too.

  3. Final answer

    When parallel lines are intersected by a transversal, the angle relationships include: equal corresponding angles, equal alternate interior angles, equal alternate exterior angles, supplementary consecutive interior angles, and equal vertical angles.

答案

Brief Explanations

When parallel lines are cut by a transversal, several angle relationships occur. Corresponding angles are equal (e.g., if one angle is at the top - left of a transversal - intersection with one parallel line, the corresponding angle at the same relative position with the other parallel line is equal). Alternate interior angles are equal (angles between the parallel lines, on opposite sides of the transversal). Alternate exterior angles are equal (angles outside the parallel lines, on opposite sides of the transversal). Also, consecutive interior angles are supplementary (their sum is \(180^{\circ}\)). Vertical angles (opposite angles formed by the intersection of two lines, here the transversal and each parallel line) are equal too.

Answer

When parallel lines are intersected by a transversal, the angle relationships include: equal corresponding angles, equal alternate interior angles, equal alternate exterior angles, supplementary consecutive interior angles, and equal vertical angles.

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type text only
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-04T14:51:36

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1. essential question what angle relationships are created when parallel lines are intersected by a transversal? enter your answer. check answer

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