\Delta DEF Δ D E F will undergo a transformation to create \Delta D'E'F' Δ D ′ E ′ F ′ in the coordinate plane. Which transformation below will NOT result in \Delta DEF\cong\Delta D'E'F' Δ D E F ≅ Δ D ′ E ′ F ′ ?

( x , y ) → ( − 3 x , y − 1 ) (x,\ y)→(-3x,\ y-1) ( x , y ) → ( − 3 x , y − 1 )

( x , y ) → ( x + 2 , y − 5 ) (x,\ y)→(x+2,\ y-5) ( x , y ) → ( x + 2 , y − 5 )

( x , y ) → ( − x , y + 3 ) (x,\ y)→(-x,\ y+3) ( x , y ) → ( − x , y + 3 )

( x , y ) → ( − x , − y ) (x,\ y)→(-x,-y) ( x , y ) → ( − x , − y )

The figure shows two perpendicular lines, and , intersecting at a point P in the interior of a trapezoid. Line is parallel to the bases and bisects both legs of the trapezoid. Line bisects both the bases of the trapezoid. Which transformation will carry the figure onto itself?

a reflection across line s s s .

a rotation of 90 ° 90\degree 9 0 ° about point P P P .

a rotation of 180 ° 180\degree 1 8 0 ° about point P P P .

Δ A B C \Delta ABC Δ A B C is shown in the coordinate plane. The triangle will be translated 4 units down and 5 units to the right to create Δ A ′ B ′ C ′ \Delta A'B'C' Δ A ′ B ′ C ′ . Which of the following parts of the image will NOT be the same as the corresponding part in the pre-image ( Δ A B C ) \left(\Delta ABC\right) ( Δ A B C )

the coordinates of C ′ C' C ′

the perimeter of Δ A ′ B ′ C ′ . \Delta A'B'C'. Δ A ′ B ′ C ′ .

the measure of ∠ A \angle A ∠ A

the slope of A ′ B ′ A'B' A ′ B ′

Δ A B C \Delta ABC Δ A B C is shown the coordinate plane. It will be rotated 90 degrees clockwise about the origin to form Δ A ′ B ′ C ′ \Delta A'B'C' Δ A ′ B ′ C ′ . What will be the coordinates of A ′ , B ′ A',\ B' A ′ , B ′ and C ′ C' C ′ ?

A ′ ( 1 , − 2 ) , B ′ ( 3 , − 3 ) , C ′ ( 2 , − 5 ) A'\left(1,-2\right),\ \ B'\left(3,-3\right),\ C'\left(2,-5\right) A ′ ( 1 , − 2 ) , B ′ ( 3 , − 3 ) , C ′ ( 2 , − 5 )

A ′ ( 2 , − 1 ) , B ′ ( 3 , − 3 ) , C ′ ( 5 , − 2 ) A'\left(2,-1\right),\ B'\left(3,-3\right),\ C'\left(5,-2\right) A ′ ( 2 , − 1 ) , B ′ ( 3 , − 3 ) , C ′ ( 5 , − 2 )

A ′ ( − 1 , 2 ) , B ′ ( − 3 , 3 ) , C ′ ( − 2 , 5 ) A'\left(-1,2\right),\ B'\left(-3,3\right),\ C'\left(-2,5\right) A ′ ( − 1 , 2 ) , B ′ ( − 3 , 3 ) , C ′ ( − 2 , 5 )

A ′ ( − 1 , − 2 ) , B ′ ( − 3 , − 3 ) , C ′ ( − 2 , − 5 ) A'\left(-1,-2\right),\ B'\left(-3,-3\right),\ C'\left(-2,-5\right) A ′ ( − 1 , − 2 ) , B ′ ( − 3 , − 3 ) , C ′ ( − 2 , − 5 )

Octagon P Q R S T V W Z PQRSTVWZ P Q R S T V W Z is a regular octagon with its center at point C C C . Which transformations will map octagon P Q R S T V W Z PQRSTVWZ P Q R S T V W Z onto itself? Select ALL that apply.

rotating 90 ° 90\degree 9 0 ° counterclockwise around point C C C

reflection over \overline{QV} Q V .

reflecting over R W ‾ \overline{RW} R W

reflecting over T Z ‾ \overline{TZ} T Z

rotating 45 ° 45\degree 4 5 ° clockwise around point Z Z Z

Δ J K L \Delta JKL Δ J K L will undergo a transformation to create Δ J ′ K ′ L ′ \Delta J'K'L' Δ J ′ K ′ L ′ in the xy coordinate plane. Which transformations will result in Δ J K L ≅ Δ J ′ K ′ L ′ \Delta JKL\cong\Delta J'K'L' Δ J K L ≅ Δ J ′ K ′ L ′ ? Select all that apply.

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

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

( x , y ) → ( x , y − 5 ) \left(x,\ y\right)\rightarrow\ \left(x,\ y-5\right) ( x , y ) → ( x , y − 5 )

( x , y ) → ( x + 3 , y − 5 ) \left(x,\ y\right)\ \rightarrow\left(x+3,\ \ y-5\right) ( x , y ) → ( x + 3 , y − 5 )

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

Which of the following describes the sequence of transformations shown?

Translate up and then rotate 90 degrees about the origin.

Reflect across the x-axis and then rotate -90 degrees around the origin

Rotate -90 degrees around the origin and then translate down.

Reflect across the x-axis and then reflect across the y-axis.

RIGID TRANSFORMATIONS

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RIGID TRANSFORMATIONS

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.CO.A.2, HSG.CO.A.3

Standards-aligned

Abel Orsolino

Used 844+ times

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A slide is also called a _________.

Translation

Reflection

Rotation

Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A turn is also called a ___________.

Translation

Reflection

Rotation

Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the transformation.

Translation

Reflection

Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the Transformation

Translation

Rotation

Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the transformation.

Reflection across y axis

Reflection across x-axis

180 Rotation

Translation 2 units down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write a rule for the translation.

(x -1, y + 2)

(x -2, y + 1)

(x +2, y - 1)

(x +1, y - 2)

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\Delta DEF$ will undergo a transformation to create $\Delta D'E'F'$ in the coordinate plane. Which transformation below will NOT result in $\Delta DEF\cong\Delta D'E'F'$ ?

$(x,\ y)→(-3x,\ y-1)$

$(x,\ y)→(x+2,\ y-5)$

$(x,\ y)→(-x,\ y+3)$

$(x,\ y)→(-x,-y)$

Tags

CCSS.8.G.A.3

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RIGID TRANSFORMATIONS

20 questions

A slide is also called a _________.

A turn is also called a ___________.

Name the transformation.

Describe the Transformation

Identify the transformation.

Write a rule for the translation.

\Delta DEFΔDEF will undergo a transformation to create \Delta D'E'F'ΔD′E′F′ in the coordinate plane. Which transformation below will NOT result in \Delta DEF\cong\Delta D'E'F'ΔDEF≅ΔD′E′F′ ?

The figure shows two perpendicular lines, and , intersecting at a point P in the interior of a trapezoid. Line is parallel to the bases and bisects both legs of the trapezoid. Line bisects both the bases of the trapezoid. Which transformation will carry the figure onto itself?

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$\Delta DEF$ will undergo a transformation to create $\Delta D'E'F'$ in the coordinate plane. Which transformation below will NOT result in $\Delta DEF\cong\Delta D'E'F'$ ?