Question

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.

Triangles XYZ and ACB; angles Y and C both measure 90 degrees, angles A and X are congruent.

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. (5 points)

Part B: Explain how to find the measures of segments AC and AB. You must show all work and calculations to receive full credit. (5 points)

Answer 1

Using
"Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.

Triangles XYZ and ACB; angles Y and C both measure 90 degrees, angles A and X are congruent."

we first want to draw the triangles out

Answer 2

Then they gave us "cos ∠X = 2 and 5 tenths over 5 and 59 hundredths."

Answer 3

For Part A, you could write about how using the cos ∠X = 2 and 5 tenths over 5 and 59 hundredths, we found the lengths of XY and XZ
Then because it's dilated by a scale factor of 2 to create ACB, we could just double the corresponding sides to find the sides