8. Circle P is represented by the equation (x − 4)² + (x − 3)² = 25. Circle Q is represented by the equation (x − 1)² + (y-7)² = 36. The proof that circle P and circle Q are similar is shown below. Proof: Step 1: Circle P has its center at (4, 3) and a radius of 5 units. Step 2: Circle Q has its center at (1, 7) and a radius of 6 units. Step 3: Translate circle P left 3 units and up 4 units and name the translation circle T. Step 4: ? Step 5: Because the two circles can be mapped onto each other, the two circles are similar. Which statement BEST represents Step 4 of the proof? 1 Dilate circle Q about its center by a factor of 6 6 Dilate circle T about its center by a factor of Dilate circle Q about its center by a factor of 5 1 Dilate circle T about its center by a factor of 5
8. Circle P is represented by the equation (x − 4)² + (x − 3)² = 25. Circle Q is represented by the equation (x − 1)² + (y-7)² = 36. The proof that circle P and circle Q are similar is shown below. Proof: Step 1: Circle P has its center at (4, 3) and a radius of 5 units. Step 2: Circle Q has its center at (1, 7) and a radius of 6 units. Step 3: Translate circle P left 3 units and up 4 units and name the translation circle T. Step 4: ? Step 5: Because the two circles can be mapped onto each other, the two circles are similar. Which statement BEST represents Step 4 of the proof? 1 Dilate circle Q about its center by a factor of 6 6 Dilate circle T about its center by a factor of Dilate circle Q about its center by a factor of 5 1 Dilate circle T about its center by a factor of 5
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:8. Circle P is represented by the equation (x − 4)² + (y - 3)² = 25. Circle Q is represented by the equation
(x - 1)² + (y-7)² = 36. The proof that circle P and circle Q are similar is shown below.
Proof:
Step 1: Circle P has its center at (4, 3) and a radius of 5 units.
Step 2: Circle Q has its center at (1, 7) and a radius of 6 units.
Step 3: Translate circle P left 3 units and up 4 units and name the translation circle T.
Step 4: ?
Step 5: Because the two circles can be mapped onto each other, the two circles are similar.
Which statement BEST represents Step 4 of the proof?
Dilate circle Q about its center by a factor of 6
Dilate circle T about its center by a factor of 5
Dilate circle Q about its center by a factor of 5
1
Dilate circle T about its center by a factor of 5
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