Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and tan <x=5÷2.5 Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ACB. You must show all work and calculations to receive full credit.

Part B: Explain how to find the measures of segments AC and CB. You must show all work and calculations to receive full credit. ​

Step-by-step explanation:

A). ΔXYZ was dilated by a scale factor of 2 to create ΔACB.

tanX =

"Dilation of a figure doesn't alter the measure of angles from original to image figure"

Therefore, all trigonometric ratio of ΔXYZ will be same as ΔACB.

tanX = tanA

B). It's given,

tanX = =

Therefore, measure of YZ = 5 and measure of XY = 2.5

Since, scale factor =

Therefore, 2 =

BC = 10 units

Similarly,

AC = 5 units

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