Congruent Chords and Arcs Worksheet

Explore properties of congruent chords and arcs in circles with this geometry worksheet for 9th grade.

Grade 9 Math GeometryCongruent Chords and Arcs

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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.A.2CCSS.MATH.CONTENT.HSG.C.A.3

Topics

GeometryCirclesChordsArcsGrade 9

7 sections · Free to use · Printable

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Congruent Chords and Arcs

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. In a circle, if two chords are congruent, then their corresponding minor arcs are:

Congruent

Proportional

Complementary

Supplementary

2. If two minor arcs in the same circle are congruent, then their corresponding chords are:

Parallel

Perpendicular

Congruent

Intersecting

3. In a circle, if a diameter is perpendicular to a chord, then it the chord and its arc.

4. Two circles are congruent if and only if they have congruent .

5. In circle O, chord AB is congruent to chord CD. If the measure of arc AB is 70°, what is the measure of arc CD? Explain your reasoning.

6. In the circle below, if chord PQ = 10 cm and chord RS = 10 cm, what can you conclude about arc PQ and arc RS? Draw the circle and label the chords and arcs.

7. A chord is a segment whose endpoints are on the circle.

True

False

8. The measure of a major arc is always less than 180 degrees.

True

False