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(07.01 HC)Prove that the two circles shown below are similar.Circle B is shown with a center at negative 1, 5 and a radius of 4. Circle D is shown with a center of 7, 4 and a radius of 2.

0701 HCProve That The Two Circles Shown Below Are SimilarCircle B Is Shown With A Center At Negative 1 5 And A Radius Of 4 Circle D Is Shown With A Center Of 7 class=

Sagot :

Answer:

Explanation:

From the information given,

Circle B has center(- 1, 5) and r = 4

Circle D has center(7, 4) and r = 2

Step 1

Translate circle B to circle D such that they have the same center point. We would translate circle B 8 units to the left and 1 unit upwards.

Step 2

We would dilate circle D so that it has same size as circle B. We would find the scale factor . By comparing their radii,

scale factor = radius of B/radius of D = 4/2 = 2

This means that by multiplying circle D by 2, we have two circles with the same radius and center point.

Thus, after using translation and dilation to map Circle D to B, we can conclude that that circle B and D are similar

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