Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

(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

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.