Identifying Isometric Transformations

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

D. 4

Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"?

B.

Determine the composition of transformations that would map the figure ABCD to A'B'C'D'

The transformation that would map B to B" is a translation DOWN AND RIGHT The second transformation for this composition is a ROTATION

The first transformation for this composition is [________], and the second transformation is a 90° rotation about point X'.

a reflection across line m

Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.

(-1,0) (-1,-5)

Figure WXYZ is transformed using the rule. Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image?

(3,8)

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

A"=(2,0) C"=(1,1) D"=(1,-1)

What are the coordinates of vertex F" of ΔF"G"H"?

A. (4,-1.5)

The rule is applied to ΔABC.Which triangle shows the final image?

A. 1

What are the coordinates of the vertices of the pre-image given? ry= −x ◦ T1, −2(x, y)

A= (1,6) B= (0,4) D= (2,6)

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

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

Which composition of transformations would map LMNO to L''M'N''O''?

C. rw ◦ RM,180°

Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?

D.

Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?

D.

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

D. A rotation 180 about Z'

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

The first transformation was a rotation around point A. The second transformation was a reflection across line M.

What are the vertices for the final image after applying the composition T−2,4 ◦ RO,180° to ΔXYZ?

X= (-4,-1) Y= (-4,1) Z= (-6,1)

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?

Y(0,3 )

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

a reflection across line m

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?

B. (5,-6)

Which diagram represents rx ◦ RO,180°?

B. (The green one)

Which rigid transformation would map thepre-image ΔABC to the image ΔA'B'C'? a rotation by 90° a reflection a translation to the right a translation up

B. A relfection

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

B. T-5,0 ∘ R0,90°(x, y)

Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

C.

Triangle JKL is transformed using the rule. Point K of the pre-image is at (4, 7). What are the coordinates of point K" on the final image?

C. (4,-7)

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

C. T0,2 ∘ R0,270°(x, y)