Which of the following tranformations would map ABCD to A'B'C'D'? (check ALL that apply)

r ( 90 ° , O ) ( A B C D ) r_{\left(90\degree,O\right)}\left(ABCD\right) r ( 9 0 ° , O ) ( A B C D )

r ( − 270 ° , O ) ( A B C D ) r_{\left(-270\degree,O\right)}\left(ABCD\right) r ( − 2 7 0 ° , O ) ( A B C D )

( R y = x ∘ R x − a x i s ) ( A B C D ) \left(R_{y=x}\ \circ\ R_{x-axis}\right)\left(ABCD\right) ( R y = x ∘ R x − a x i s ) ( A B C D )

( R x − a x i s ∘ R y = − x ) ( A B C D ) \left(R_{x-axis}\ \circ\ R_{y=-x}\right)\left(ABCD\right) ( R x − a x i s ∘ R y = − x ) ( A B C D )

Which of the following does NOT map triangle ABC onto triangle DEF?

( T < 0 , 6 > ∘ R y − a x i s ) ( Δ A B C ) \left(T_{<0,6>}\ \circ\ R_{y-axis}\right)\left(\Delta ABC\right) ( T < 0 , 6 > ∘ R y − a x i s ) ( Δ A B C )

r ( 180 ° , O ) ( Δ A B C ) r_{\left(180\degree,O\right)}\left(\Delta ABC\right) r ( 1 8 0 ° , O ) ( Δ A B C )

( R x − a x i s ∘ R y − a x i s ) ( Δ A B C ) \left(R_{x-axis}\ \circ\ R_{y-axis}\right)\left(\Delta ABC\right) ( R x − a x i s ∘ R y − a x i s ) ( Δ A B C )

( R y − a x i s ∘ R x − a x i s ) ( Δ A B C ) \left(R_{y-axis}\ \circ\ R_{x-axis}\right)\left(\Delta ABC\right) ( R y − a x i s ∘ R x − a x i s ) ( Δ A B C )

Which of the following would map ΔABC to ΔDEF?

( R x − a x i s ∘ D ( 0.5 , O ) ) ( Δ A B C ) \left(R_{x-axis}\ \circ\ D_{\left(0.5,O\right)}\right)\left(\Delta ABC\right) ( R x − a x i s ∘ D ( 0 . 5 , O ) ) ( Δ A B C )

( R x − a x i s ∘ D ( 2 , O ) ) ( Δ A B C ) \left(R_{x-axis}\ \circ\ D_{\left(2,O\right)}\right)\left(\Delta ABC\right) ( R x − a x i s ∘ D ( 2 , O ) ) ( Δ A B C )

( r ( 270 ° , O ) ∘ D ( 0.5 , O ) ) ( Δ A B C ) \left(r_{\left(270\degree,O\right)}\ \circ\ D_{\left(0.5,O\right)}\right)\left(\Delta ABC\right) ( r ( 2 7 0 ° , O ) ∘ D ( 0 . 5 , O ) ) ( Δ A B C )

( r ( 90 ° , O ) ∘ D ( 2 , O ) ) ( Δ A B C ) \left(r_{\left(90\degree,O\right)}\ \circ\ D_{\left(2,O\right)}\right)\left(\Delta ABC\right) ( r ( 9 0 ° , O ) ∘ D ( 2 , O ) ) ( Δ A B C )

Which of the following has the same effect as R x = 6 ∘ R x = 1 R_{x=6}\ \circ\ R_{x=1} R x = 6 ∘ R x = 1 ?

T < 10 , 0 > T_{<10,0>} T < 1 0 , 0 >

T < − 10 , 0 > T_{<-10,0>} T < − 1 0 , 0 >

R x = 3.5 R_{x=3.5} R x = 3 . 5

Given the points on the coordinate axes shown above, which of the following are true statements? (check all that apply)

R x − a x i s ( A ) = C R_{x-axis}\left(A\right)=C R x − a x i s ( A ) = C

R y = x ( D ) = C R_{y=x}\left(D\right)=C R y = x ( D ) = C

D ( 2 , O ) ( A ) = B D_{\left(2,O\right)}\left(A\right)=B D ( 2 , O ) ( A ) = B

T < 1 , 4 > ( E ) = D T_{<1,4>}\left(E\right)=D T < 1 , 4 > ( E ) = D

r ( 90 ° , O ) ( D ) = A r_{\left(90\degree,O\right)}\left(D\right)=A r ( 9 0 ° , O ) ( D ) = A

Geometry (A) Transformations Review

9th - 10th Grade

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9th - 10th Grade

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Practice Problem

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Medium

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CCSS

8.G.A.3, HSG.CO.A.2, HSG.CO.B.6

Standards-aligned

James Johns

Used 24+ times

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is
$T_{<5,2>}\left(-7,13\right)$ ?

(-12,11)

(-2,15)

(-12,15)

(-2,-15)

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is R_x-axis(a,b)?

(a,b)

(-a,b)

(-a,-b)

(a,-b)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is
$r_{\left(90^o,O\right)}\left(-7,-5\right)$ ?

(5,-7)

(-7,5)

(-5,7)

(7,5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is D_(2,O)(-2,6)?

(-4,6)

(4,-12)

(-4,12)

(-1,3)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is
$\left(T_{<2,4>}\circ\ R_{y-axis}\right)\left(6,-10\right)$ ?

(-8,-6)

(8,14)

(4,-6)

(-4,-6)

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What transformation is depicted in the image above?

$T_{<-1,4>}\left(\Delta ABC\right)$

$T_{<4,-1>}\left(\Delta ABC\right)$

$R_{y=x}\left(\Delta ABC\right)$

$r_{\left(90\degree,O\right)}\left(\Delta ABC\right)$

Tags

CCSS.HSG.CO.A.2

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Which of the following transformations are rigid motion transformations? (check ALL that apply)

Translations

Dilations

Reflections

Rotations

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Triangle ABC has vertices A(2,2), B(3,-2), and C(-1,3). Which of the following graphs is the image of
$r_{\left(270\degree,O\right)}\left(\Delta ABC\right)$ ?

Tags

CCSS.HSG.CO.B.6

10.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

What is
$r_{\left(60\degree,O\right)}\left(E\right)$ =____

Tags

CCSS.HSG.CO.A.4

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Which of the following is T<5,2>(−7,13)T_{<5,2>}\left(-7,13\right)T<5,2>​(−7,13) ?

Which of the following is Rx-axis(a,b)?

Which of the following is r(90o,O)(−7,−5)r_{\left(90^o,O\right)}\left(-7,-5\right)r(90o,O)​(−7,−5) ?

Which of the following is D(2,O)(-2,6)?

Which of the following is (T<2,4>∘ Ry−axis)(6,−10)\left(T_{<2,4>}\circ\ R_{y-axis}\right)\left(6,-10\right)(T<2,4>​∘ Ry−axis​)(6,−10) ?

What transformation is depicted in the image above?

Which of the following transformations are rigid motion transformations? (check ALL that apply)

What is the equation of the line of reflection for that would map triangle DEF to triangle D'E'F'?

Triangle ABC has vertices A(2,2), B(3,-2), and C(-1,3). Which of the following graphs is the image of r(270°,O)(ΔABC)r_{\left(270\degree,O\right)}\left(\Delta ABC\right)r(270°,O)​(ΔABC) ?

What is r(60°,O)(E)r_{\left(60\degree,O\right)}\left(E\right)r(60°,O)​(E) =____

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Which of the following is
$T_{<5,2>}\left(-7,13\right)$ ?

Which of the following is R_x-axis(a,b)?

Which of the following is
$r_{\left(90^o,O\right)}\left(-7,-5\right)$ ?

Which of the following is D_(2,O)(-2,6)?

Which of the following is
$\left(T_{<2,4>}\circ\ R_{y-axis}\right)\left(6,-10\right)$ ?

Triangle ABC has vertices A(2,2), B(3,-2), and C(-1,3). Which of the following graphs is the image of
$r_{\left(270\degree,O\right)}\left(\Delta ABC\right)$ ?

What is
$r_{\left(60\degree,O\right)}\left(E\right)$ =____