Pentagon ABCDE is shown on a coordinate grid. Pentagon ABCDE will be dilated by a scale factor of m to create pentagon A'B'C'D'E'. Which ordered pair best represents the location of point B'?

<katex latex="\left(\frac{7}{m},\ \frac{3}{m}\righ

Pentagon ABCDE is shown on a coordinate grid. Pentagon ABCDE will be dilated by a scale factor of t to create pentagon A'B'C'D'E'. Which ordered pair best represents the location of point C'?

<katex latex="\left(\frac{5}{t},\ \frac{1}{t}\righ

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2024 dilations reflections and similar figures

Authored by Chris Levens

Mathematics

8th Grade

CCSS covered

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2024 dilations reflections and similar figures

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18 questions

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DRAG AND DROP QUESTION

1 min • 1 pt

The image provided shows several dilations. The angle measures of each dilation (a) while the side lengths of each dilations (b) .

are always congruent

become larger or smaller

Tags

CCSS.8.G.A.3

DRAG AND DROP QUESTION

1 min • 1 pt

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(a)

$\left(x,y\right)\rightarrow\left(0.8x,\ 0.8y\right)$

Tags

CCSS.8.G.A.3

DRAG AND DROP QUESTION

1 min • 1 pt

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(a)

$\left(x,y\right)\rightarrow\left(\frac{5}{4}x,\ \frac{5}{4}y\right)$

Tags

CCSS.8.G.A.3

DROPDOWN QUESTION

1 min • 1 pt

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule $\left(x,y\right)\rightarrow\left(-x,\ y\right)$ to create quadrilateral P'R'S'T'.
Which type of transformation occurred?
(a)

Reflection across the y axis

Reflection across the x axis

Rotation 90 degrees clockwise

Rotation 90 degrees counter clockwise

Rotation 180 degrees

Tags

CCSS.HSG.CO.B.6

DROPDOWN QUESTION

1 min • 1 pt

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule $\left(x,y\right)\rightarrow\left(x,\ -y\right)$ to create quadrilateral P'R'S'T'.
Which type of transformation occurred?
(a)

Reflection across the y axis

Reflection across the x axis

Rotation 90 degrees clockwise

Rotation 90 degrees counter clockwise

Rotation 180 degrees

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(x,\ -y\right)$ . Which picture best represents triangle H'J'K'?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(-x,\ y\right)$ . Which picture best represents triangle H'J'K'?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

DROPDOWN QUESTION

1 min • 1 pt

Quadrilateral PQRS was dilated using the origin as the center of dilation to create quadrilateral P'Q'R'S'. Which rule best represents the dilation that was applied to quadrilateral PQRS to create quadrilateral P'Q'R'S'?
(a)

$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

Tags

CCSS.8.G.A.3

MATCH QUESTION

1 min • 1 pt

Triangle ABC is reflected across the x axis to create triangle A'B'C'. Which statements are true?

$\left(x,y\right)\rightarrow\left(x,-y\right)$

The sum of the angle measures of triangle ABC will be twice the sum of triangle A'B'C'

True

The side lengths of triangle ABC and A'B'C' will be congruent.

False

A relection across the x axis has the rule:

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

10.

MATCH QUESTION

1 min • 1 pt

Triangle ABC is dilated using the origin as the center of dilation to create triangle A'B'C'. The rule for the dilation is $\left(x,y\right)\rightarrow\left(2x,2y\right)$ Which statements are true and which statements are false?

Enlarge 2 times the size

The sum of the angle measures of triangle ABC will be twice the sum of triangle A'B'C'

False

The rule 2x,2y will cause the image to:

True

The side lengths of triangle A'B'C' will be twice the size of the side lengths of triangle ABC.

Tags

CCSS.8.G.A.3

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2024 dilations reflections and similar figures

The image provided shows several dilations. The angle measures of each dilation ​ (a) while the side lengths of each dilations ​ (b) .

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation? ​ (a)

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation? ​ ​ ​ (a)

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule (x,y)→(−x, y)\left(x,y\right)\rightarrow\left(-x,\ y\right)(x,y)→(−x, y) to create quadrilateral P'R'S'T'. Which type of transformation occurred? (a)

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule (x,y)→(x, −y)\left(x,y\right)\rightarrow\left(x,\ -y\right)(x,y)→(x, −y) to create quadrilateral P'R'S'T'. Which type of transformation occurred? (a)

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule (x,y)→(x, −y)\left(x,y\right)\rightarrow\left(x,\ -y\right)(x,y)→(x, −y) . Which picture best represents triangle H'J'K'?

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule (x,y)→(−x, y)\left(x,y\right)\rightarrow\left(-x,\ y\right)(x,y)→(−x, y) . Which picture best represents triangle H'J'K'?

Quadrilateral PQRS was dilated using the origin as the center of dilation to create quadrilateral P'Q'R'S'. Which rule best represents the dilation that was applied to quadrilateral PQRS to create quadrilateral P'Q'R'S'?​ (a) ​

Triangle ABC is reflected across the x axis to create triangle A'B'C'. Which statements are true?

Triangle ABC is dilated using the origin as the center of dilation to create triangle A'B'C'. The rule for the dilation is (x,y)→(2x,2y)\left(x,y\right)\rightarrow\left(2x,2y\right)(x,y)→(2x,2y) Which statements are true and which statements are false?

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The image provided shows several dilations. The angle measures of each dilation (a) while the side lengths of each dilations (b) .

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(a)

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(a)

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule $\left(x,y\right)\rightarrow\left(-x,\ y\right)$ to create quadrilateral P'R'S'T'.
Which type of transformation occurred?
(a)

Quadrilateral PRST is graphed on a coordinate grid. Quadrilateral PRST will be transformed using the rule $\left(x,y\right)\rightarrow\left(x,\ -y\right)$ to create quadrilateral P'R'S'T'.
Which type of transformation occurred?
(a)

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(x,\ -y\right)$ . Which picture best represents triangle H'J'K'?

Triangle HJK is graphed on a coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(-x,\ y\right)$ . Which picture best represents triangle H'J'K'?

Quadrilateral PQRS was dilated using the origin as the center of dilation to create quadrilateral P'Q'R'S'. Which rule best represents the dilation that was applied to quadrilateral PQRS to create quadrilateral P'Q'R'S'?
(a)

Triangle ABC is dilated using the origin as the center of dilation to create triangle A'B'C'. The rule for the dilation is $\left(x,y\right)\rightarrow\left(2x,2y\right)$ Which statements are true and which statements are false?