QQuestionMathematics
QuestionMathematics
Which pair of angles are vertical angles?
A. Angle WRU and Angle SRT
B. Angle WRS and Angle VRT
C. Angle VRU and Angle TRS
D. Angle VRT and Angle SRT
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand Vertical Angles
Vertical angles are pairs of opposite angles formed when two lines intersect. They have these key properties: - Vertical angles are always congruent (equal in measure) - They are located across from each other at the point of intersection
Step 3:: Analyze the Diagram
To determine vertical angles, I'll look at the point of intersection (point R) and identify which angles are directly opposite each other.
Step 4:: Identify Opposite Angles
Let's carefully examine each pair of angles: - Angle WRU and Angle SRT are NOT opposite each other - Angle WRS and Angle VRT are NOT opposite each other - Angle VRU and Angle TRS are NOT opposite each other - Angle VRT and Angle SRT ARE opposite each other at point R
Step 5:: Verify Vertical Angle Relationship
The vertical angle pairs are formed by the intersecting lines, and Angle VRT and Angle SRT meet this definition perfectly.
Final Answer
Angle VRT and Angle SRT are vertical angles. Key Insight: Vertical angles are always equal in measure and are formed by the intersection of two lines, with the angles being directly opposite each other at the point of intersection.
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