Intersecting chords form a pair of congruent, vertical angles.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
Intersecting chords form a pair of congruent, vertical angles.
A. True
B. False
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Solution
Step 1: Break Down the Problem
We need to assess whether intersecting chords indeed form a pair of congruent vertical angles.
Step 2: Relevant Concepts
In geometry, two lines that cross each other form two pairs of vertical angles. Vertical angles are the angles opposite each other when two lines cross.
Step 3: Analysis and Detail
When two chords intersect, they create four angles. These angles can be categorized into two pairs of vertical angles. Each pair of vertical angles is formed by the intersecting lines, and it is a known geometric property that vertical angles are always congruent.
Step 4: Verify and Summarize
Since vertical angles are always equal, we can conclude that the statement in the question holds true.
Final Answer
A. True
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