9 Write a proof of Theorem 10-5, which states that if chords are equidistant from the center of a circle or the centers of congruent circles, then they are congruent. COMMON ERROR D. B. F Given: OP with AB 1 PE, CD 1 PF. PE PF B Prove: AB 2 CD Plan: Construct triangles by drawing the radii PA, PB, PC, and PD. Then show that the triangles are congruent in order to apply CPCTC.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Write a proof of theorem 10-5.
9 Write a proof of Theorem 10-5, which states
that if chords are equidistant from the center of
a circle or the centers of congruent circles, then
they are congruent.
COMMON ERROR
D.
B.
Given: OP with AB 1 PE,
CD 1 PF.
PE PF
Prove: AB e CD
C
Plan: Construct triangles by drawing the radii
PA, PB, PC, and PD. Then show that the
triangles are congruent in order to apply CPCTC.
P Type here to search
Transcribed Image Text:9 Write a proof of Theorem 10-5, which states that if chords are equidistant from the center of a circle or the centers of congruent circles, then they are congruent. COMMON ERROR D. B. Given: OP with AB 1 PE, CD 1 PF. PE PF Prove: AB e CD C Plan: Construct triangles by drawing the radii PA, PB, PC, and PD. Then show that the triangles are congruent in order to apply CPCTC. P Type here to search
Try it!
3. Write a flow proof of the Converse of Theorem 10-5, which states that if
chords in a circle or in congruent circles are congruent, then they are
equidistant from the center or centers.
CHECK ANSWER
11
Transcribed Image Text:Try it! 3. Write a flow proof of the Converse of Theorem 10-5, which states that if chords in a circle or in congruent circles are congruent, then they are equidistant from the center or centers. CHECK ANSWER 11
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