XYZ is a dilation of triangle ABC by a scale factor of 5. Which of the following proportions verified that triangle ABC and XYZ
2 answers:
Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
Answer with explanation:
When ΔABC is dilated by a Scale factor of 5 we will get ΔX Y Z.
Pre-Image = ΔABC
Image = ΔX Y Z
When a triangle is dilated , then the two Triangles that is Original ΔABC and Triangle after dilation ΔX Y Z will be Similar.
⇒Similar triangles has Corresponding sides proportional as well as Corresponding Angles are congruent.
≡Corresponding congruent Angles are
→∠A=∠X
→∠B=∠Y
→∠C=∠Z
≡Corresponding congruent Sides are
The Proportionality statement which proves two triangles are Similar
Option B
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