Pentagon PENTA was transformed to create the image P’E’N’T’A’. Which of the following describes the transformation shown below?

Translation (x, y) → (x – 1, y + 3) ; reflection over the y‐axis

Reflection over the x‐axis; rotation 180° clockwise about the origin

Reflection over the y‐axis; rotation 180° counterclockwise about the origin

Reflection over y = x; translation (x, y) → (x + 0, y – 4)

Blair draws a triangle on a coordinate plane and performs a series of transformations on it. Select all transformations that will result in an image that is congruent to Blair’s original figure.

A rotation of 100 degrees followed by a reflection over the x‐axis

A translation according to the rule (x, y) →(x + 3, y + 6) followed by a translation according to the rule (x, y) → (x – 8, y + 9)

A reflection over the x‐axis followed by a reflection over the y‐axis

A translation according to the rule (x, y) → (x + 1, y) followed by a reflection over the line y = x

A translation according to the rule (x, y) → (x + 3, y + 6) followed by a dilation with scale factor 5

Tanya's Geometry teacher drew the following translation on the white board. Tanya was asked to write the translation rule that produces the image from the pre-image. Tanya wrote the function rule as ( x , y ) → ( x − 8 , y + 3 ) . \left(x,y\right)\rightarrow\left(x-8,\ y+3\right). ( x , y ) → ( x − 8 , y + 3 ) . Is Tanya correct?Explain.

No; The translation will move the image to the pre-image

Yes; the translation will move the pre-image to the image.

No; the translation will move the pre-image to the image.

A decorative design uses copies of an irregular hexagon. Which transformations of the design can be used to map the hexagon with vertex A onto the hexagon with vertex C?

Rotation 180 \degree ° about the origin

Rotation 90 ° \degree ° clockwise about the origin

( x , y ) → ( x + 3 , y − 3 ) \left(x,y\right)\rightarrow\left(x+3,\ y-3\right) ( x , y ) → ( x + 3 , y − 3 )

Figure PQRS is a parallelogram with point R (-4, 1). What rule would rotate the figure 90 degrees counterclockwise, and what coordinate would be the output for point R'?

( x , y ) → ( − y , x ) ; R ′ ( − 1 , − 4 ) \left(x,y\right)\rightarrow\left(-y,x\right);\ R'\ \left(-1,\ -4\right) ( x , y ) → ( − y , x ) ; R ′ ( − 1 , − 4 )

( x , y ) → ( y , x ) ; R ′ ( 1 , − 4 ) \left(x,y\right)\rightarrow\left(y,x\right);\ R'\ \left(1,\ -4\right) ( x , y ) → ( y , x ) ; R ′ ( 1 , − 4 )

( x , y ) → ( − y , − x ) ; R ′ ( − 1 , 4 ) \left(x,y\right)\rightarrow\left(-y,-x\right);\ R'\ \left(-1,\ 4\right) ( x , y ) → ( − y , − x ) ; R ′ ( − 1 , 4 )

( x , y ) → ( y , − x ) ; R ′ ( 1 , 4 ) \left(x,y\right)\rightarrow\left(y,-x\right);\ R'\ \left(1,\ 4\right) ( x , y ) → ( y , − x ) ; R ′ ( 1 , 4 )

Given: Segment AB with coordinates of 𝐴 (−5, −4) and 𝐵 (1, 1) 𝐴′𝐵′ with coordinates of 𝐴′ (−3, −1) and 𝐵′ (3,4). Which translation was used?

( x , y ) → ( x + 2 , y + 3 ) \left(x,y\right)\rightarrow\left(x+2,y+3\right) ( x , y ) → ( x + 2 , y + 3 )

( x , y ) → ( x + 2 , y − 3 ) \left(x,y\right)\rightarrow\left(x+2,y-3\right) ( x , y ) → ( x + 2 , y − 3 )

( x , y ) → ( x − 2 , y + 3 ) \left(x,y\right)\rightarrow\left(x-2,y+3\right) ( x , y ) → ( x − 2 , y + 3 )

( x , y ) → ( x − 2 , y − 3 ) \left(x,y\right)\rightarrow\left(x-2,y-3\right) ( x , y ) → ( x − 2 , y − 3 )

Transformations

Authored by Natasha Lero

Mathematics

10th Grade

CCSS covered

Used 37+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from ABCD to A'B'C'D'.

Translation

Reflection across the x-axis

Reflection across the y-axis

90^o counter clockwise rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from ABC to A'B'C'.

(x+8, y+4)

(x-8, y-4)

(x+4, y+8)

(x-4, y-8)

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from ABC to A'B'C'.

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from ABC to A'B'C'.

Translation

90^o clockwise rotation

90^o counterclockwise rotation

Reflection across the x-axis

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from ABCD to A'B'C'D'.

Translation

Reflection across the y-axis

Reflection across the x-axis

90^o counter clockwise Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the transformation from A to D.

90^o Clockwise Rotation

180^o Rotation

270^o Clockwise Rotation

360^o Rotation

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which rule would result in a clockwise rotation of 90° about the origin?

(x, y) → (y, -x)

(x, y) → (4x, 4y)

(x, y) → (x, -y)

(x, y) → (x + 4, y + 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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Transformations

Identify the transformation from ABCD to A'B'C'D'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABCD to A'B'C'D'.

Identify the transformation from A to D.

Which rule would result in a clockwise rotation of 90° about the origin?

Which rule would result in a translation of 2 units left and 3 units up?

The original figure prior to a transformation.

Write the rule for this translation:
Slide 3 up and 2 right

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Popular Resources on Wayground

Discover more resources for Mathematics

Transformations

Identify the transformation from ABCD to A'B'C'D'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABC to A'B'C'.

Identify the transformation from ABCD to A'B'C'D'.

Identify the transformation from A to D.

Which rule would result in a clockwise rotation of 90° about the origin?

Which rule would result in a translation of 2 units left and 3 units up?

The original figure prior to a transformation.

Write the rule for this translation:Slide 3 up and 2 right

Access all questions and much more by creating a free account

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Popular Resources on Wayground

Discover more resources for Mathematics

Write the rule for this translation:
Slide 3 up and 2 right