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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

SUBMIT
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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

This problem has been solved

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