Compositions

Question 1

Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?

Revolt · Accepted Answer

(5, –6)

Question 2

What is the final transformation in this sequence of transformations mapping pre-image VWXYZ to final image V''W''X''Y''Z''?

Revolt · Accepted Answer

a rotation 180° about Z'

Question 3

Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?

Revolt · Accepted Answer

4

Question 4

Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.

Revolt · Accepted Answer

She applied the reflection to the triangle first.; She changed the size of the triangle instead of just applying a translation.

Question 5

Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?

Revolt · Accepted Answer

T–5,0 ∘ R0,90°(x, y)

Question 6

Analyze the pre-image ABCD. What are the vertices of the final image if T–1, –2 ◦ ry = x is applied to figure ABCD?

Revolt · Accepted Answer

A'': (3,0); C'': (1,1); D'': (1, -1)

Question 7

Analyze the diagram. What is the composition of transformations that was applied to map WXYZ to W''X''Y''Z''?

Revolt · Accepted Answer

✔ rotation about point A; .: rotation about point A; .: reflection across line m

Question 8

rotation about point A translation up translation down ✔ reflection across line m

Revolt · Accepted Answer

✔ reflection across line m

Question 9

Which rule describes the composition of transformations that maps rectangle PQRS to P''Q''R''S''?

Revolt · Accepted Answer

T0,2 ∘ R0,270°(x, y)

Question 10

The sequence of transformations, RO,90° ° rx-axis, is applied to ΔXYZ to produce ΔX''Y''Z''. If the coordinates of Y'' are (3, 0), what are the coordinates of Y?

Revolt · Accepted Answer

0; 3

Compositions Answers

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