
Shyniyah S.
asked 06/16/21Please answer quick please this is a pretty simple geometry question, i cant understand it
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X =
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 CB and AB. You must show all work and calculations to receive full credit. (5 points)
2 Answers By Expert Tutors
JAY E. answered 06/20/21
Algebra 1, Algebra 2, Geometry, SAT/ACT/GED, Trigonometry
Triangles XYZ and ACB are similar because at Dilation the measure of Angles don’t changes. They are similar of Angele Angle. Also similar base on the same factor Dilation. S.S.S are Propertional.
<X = <A. And <Y = <C and < Z = <B
Sine <X = Sine <A, Sine <Y = Sine < C. And Sine<Z = Sine <B
This is more of a trigonometry question, as it has to do with triangles and sin/cos/tan ratios.
Part A: These triangles are dilations, so they're similar. That means that their corresponding angles are the same, and so too their trig ratios.
Part B: You have the sine of angle X, but you'll need at least one side length (if a right triangle) or two sides or a side and another angle (if not) to determine the rest.
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Andrew D.
06/16/21