\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 )

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

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Mathematics

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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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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 $r$ .

a reflection across line $s$ .

a rotation of $90\degree$ about point $P$ .

a rotation of $180\degree$ about point $P$ .

Tags

CCSS.HSG.CO.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Zach and Naomi are studying geometric transformations. Zach is able to move the triangle $A$ to $A'$ using the following sequence of basic transformations:
1. Reflection across the x-axis.
2. Reflection across the y-axis.
3. Translation two units to the right.
Naomi claims that the same three transformations, done in any order will always produce the same result. Zach disagrees. Who is correct?

Zach

Naomi

Both are correct

Both are incorrect

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

the perimeter of $\Delta A'B'C'.$

the measure of $\angle A$

the coordinates of $C'$

the slope of $A'B'$

Tags

CCSS.HSG.CO.A.2

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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 $\Delta DEF\cong\Delta D'E'F'$ ?