The vertices of Δ \Delta Δ PQR are P(-4, 3), Q(-2, 3), and R(1, -3). What are the coordinates of the vertices of Δ \Delta Δ P'Q'R' for a translation of T < 4 , − 5 > T_{<4,-5>} T < 4 , − 5 > ?

P'(0, -2), Q'(2, -2), R'(5, -8)

P'(-8, 8), Q'(-6, 8), R'(-3, 2)

What is the translation shown?

T < − 5 , 2 > T_{<-5,\ 2>} T < − 5 , 2 >

T < 5 , − 2 > T_{<5,\ -2>} T < 5 , − 2 >

T < − 5 , − 2 > T_{<-5,\ -2>} T < − 5 , − 2 >

The vertices of Δ \Delta Δ ABC are A(2, -2), B(-3, -2), and C(-1, 3). What are the coordinates of the vertices of Δ \Delta Δ A'B'C' for a rotation of r ( 90 ° , O ) r_{\left(90\degree,\ O\right)} r ( 9 0 ° , O ) . Hint: r ( 90 ° , O ) ( x , y ) → ( − y , x ) r_{\left(90\degree,\ O\right)}(x,\ y)\rightarrow(-y,\ x) r ( 9 0 ° , O ) ( x , y ) → ( − y , x )

A'(2, 2), B'(2, -3), C'(-3, -1)

A'(2, 2), B'(-2, -3), C'(3, -1)

A'(2, 2), B'(-3, 2), C'(-1, -3)

The vertices of Δ \Delta Δ ABC are A(2, -2), B(-3, -2), and C(-1, 3). What are the coordinates of the vertices of Δ \Delta Δ A'B'C' for a rotation of r ( 270 ° , O ) r_{\left(270\degree,\ O\right)} r ( 2 7 0 ° , O ) . Hint: r ( 270 ° , O ) ( x , y ) → ( y , − x ) r_{\left(270\degree,\ O\right)}(x,\ y)\rightarrow(y,\ -x) r ( 2 7 0 ° , O ) ( x , y ) → ( y , − x )

A'(-2, -2), B'(-2, 3), C'(3, 1)

A'(2, 2), B'(-2, -3), C'(3, -1)

A'(2, 2), B'(-2, 3), C'(-3, -1)

What is a glide reflection for the transformation shown?

T < 0 , 5 > ∘ R x = 1 2 T_{<0,\ 5>}\circ\ R_{x=\frac{1}{2}} T < 0 , 5 > ∘ R x = 2 1

T < 0 , 5 > ∘ R y − a x i s T_{<0,\ 5>}\circ\ R_{y-axis} T < 0 , 5 > ∘ R y − a x i s

T < 5 , 0 > ∘ R x − a x i s T_{<5,\ 0>}\circ\ R_{x-axis} T < 5 , 0 > ∘ R x − a x i s

Describe the transformations that can be used to map the figure onto itself. Select ALL that apply.

180 ° 180\degree 1 8 0 ° rotation about the center

Reflection across the vertical line through the center

Reflection across the horizontal line through the center

90 ° 90\degree 9 0 ° rotation about the center

Describe all symmetries of the figure. Select ALL that apply.

180 ° 180\degree 1 8 0 ° rotational symmetry about the center of the figure.

Reflection across the horizontal line through the center.

Reflection across the vertical line through the center.

90 ° 90\degree 9 0 ° rotational symmetry about the center of the figure.

What is a rule for the translation of △RST? Select all that apply.

T 〈 5 , − 5 〉 T_{〈5,−5〉} T 〈 5 , − 5 〉

T 〈 − 5 , 5 〉 T_{〈−5,5〉} T 〈 − 5 , 5 〉

Which of the descriptions is true for the graph?

△A″B″C″ is T 〈 − 5 , 0 〉 T_{〈−5,0〉} T 〈 − 5 , 0 〉 (△A′B′C′)

△A″B″C″ is ( T 〈 − 5 , 0 〉 T_{〈−5,0〉} T 〈 − 5 , 0 〉 ∘ R x − a x i s R_{x-axis} R x − a x i s ) (△A′B′C′)

△A″B″C″ is R x − a x i s R_{x-axis} R x − a x i s (△A′B′C′)

△A″B″C″ is r 90 ° r_{90°} r 9 0 ° (△A′B′C′)

If a figure is translated with the rule T 〈 − 5 , 3 〉 T_{〈−5,3〉} T 〈 − 5 , 3 〉 , which translation moves the image back to the original position?

T 〈 5 , − 3 〉 T_{〈5,−3〉} T 〈 5 , − 3 〉

T 〈 − 5 , 3 〉 T_{〈−5,3〉} T 〈 − 5 , 3 〉

T 〈 0 , 5 〉 T_{〈0,5〉} T 〈 0 , 5 〉

T 〈 − 5 , 0 〉 T_{〈−5,0〉} T 〈 − 5 , 0 〉

Which of the following does a rigid motion preserve?

side lengths and angle measures

neither side lengths nor angle measures

What is the rule used to transform △ABC to its image? A(−3, 5), B(2, 8), C(−4, −5) and A’(−3, −5), B’(2, −8), C’(−4, 5)

R x − a x i s R_{x-axis} R x − a x i s (x, y) = (x, −y)

R y = − x R_{y=−x} R y = − x (x, y) = (−y, −x)

R y = − x R_{y=−x} R y = − x (x, y) = (y, x)

R y − a x i s R_{y-axis} R y − a x i s (x, y) = (−x, y)

What are the vertices of △A’B’C’ produced by T 〈 − 3 , 6 〉 T_{〈−3,6〉} T 〈 − 3 , 6 〉 (△ABC) = △A’B’C’?

A’(0, 6), B’(0, 4), C’(−3, 3)

A’(6, 6), B’(6, 4), C’(3, 3)

A’(0, −6), B’(0, −8), C’(−3, 9)

A’(6, −6), B’(6, −8), C’(3, 9)

Suppose △DEF is the image of a translation of △ABC. If D is at (−6, −2), what translation rule maps △ABC to △DEF?

T 〈 − 9 , − 2 〉 T_{〈−9,−2〉} T 〈 − 9 , − 2 〉 (△ABC) = △DEF

T 〈 9 , 2 〉 T_{〈9,2〉} T 〈 9 , 2 〉 (△ABC) = △DEF

T 〈 9 , − 2 〉 T_{〈9,−2〉} T 〈 9 , − 2 〉 (△ABC) = △DEF

T 〈 − 9 , 2 〉 T_{〈−9,2〉} T 〈 − 9 , 2 〉 (△ABC) = △DEF

A B ‾ \overline{AB} A B is rotated 120° clockwise about B. Then A B ‾ \overline{AB} A B is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?

( r ( 45 ° , A ) ∘ r ( − 120 ° , B ) ) ( A ) (r_{(45°,\ A)}\ ∘\ r_{(−120°,\ B)})(A) ( r ( 4 5 ° , A ) ∘ r ( − 1 2 0 ° , B ) ) ( A )

( r ( 120 ° , B ) ∘ r ( − 45 ° , A ) ) ( A ) (r_{(120°,\ B)\ }∘\ r_{(−45°,\ A)})(A) ( r ( 1 2 0 ° , B ) ∘ r ( − 4 5 ° , A ) ) ( A )

( r ( − 45 ° , A ) ∘ r ( 120 ° , B ) ) ( A ) (r_{(−45°,\ A)}\ ∘\ r_{(120°,\ B)})(A) ( r ( − 4 5 ° , A ) ∘ r ( 1 2 0 ° , B ) ) ( A )

( r ( − 120 ° , B ) ∘ r ( 45 ° , A ) ) ( A ) (r_{(−120°,\ B)\ }∘\ r_{(45°,\ A)})(A) ( r ( − 1 2 0 ° , B ) ∘ r ( 4 5 ° , A ) ) ( A )

Which rotation maps the figure onto itself?

r ( 180 ° , P ) r_{(180°,\ P)} r ( 1 8 0 ° , P )

r ( 45 ° , P ) r_{(45°,\ P)} r ( 4 5 ° , P )

r ( 90 ° , P ) r_{(90°,\ P)} r ( 9 0 ° , P )

r ( 270 ° , P ) r_{(270°,\ P)} r ( 2 7 0 ° , P )

Topic 3 Study Guide

Authored by M VT

Mathematics

9th - 10th Grade

CCSS covered

Used 70+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

37 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A(n) _______________ is a transformation about a point with a given angle measure.

rotation

translation

reflection

rigid motion

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Reflections, translations, rotations, and glide reflections are the four types of _____________.

rigid motion

line of symmetry

compositions

preimages

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A line that a figure is reflected across so that it maps onto itself is called a(n) ____________.

line of symmetry

line of reflection

image

glide reflection

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The composition of a reflection and a translation is called a(n) _______________.

glide reflection

rotation

image

translation

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The set of points that a transformation acts on is called the ___________.

preimage

image

reflection

line of reflection

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The result of a transformation is called the _______.

image

preimage

rigid motion

glide reflection

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the transformation appear to be a rigid motion?

Yes

Answer explanation

Rigid motions maintain angle measure and side length so this is definitely a rigid motion!

Tags

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The vertices of $\Delta$ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of $\Delta$ H'J'K' for a reflection over the y-axis?

H'(3, 2), J'(1, -3), K'(-4, 3)

H'(-3, -2), J'(-1, 3), K'(4, -3)

H'(3, -2), J'(1, 3), K'(4, 3)

None of the above

Answer explanation

A reflection over the y axis has the rule:
(x, y) -> (-x, y)
Let's apply that rule to each coordinate:
(-3, 2) -> (3, 2)
(-1, -3) -> (1, -3)
(4, 3) -> (-4, 3)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The vertices of $\Delta$ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of $\Delta$ H'J'K' for a reflection over the x-axis?

H'(3, 2), J'(1, -3), K'(-4, 3)

H'(-3, -2), J'(-1, 3), K'(4, -3)

H'(3, -2), J'(1, 3), K'(4, 3)

None of the above

Answer explanation

A reflection over the x axis has the rule:
(x, y) -> (x, -y)
Let's apply that rule to each coordinate:
(-3, 2) -> (-3, -2)
(-1, -3) -> (-1, 3)
(4, 3) -> (4, -3)

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The vertices of $\Delta$ PQR are P(-4, 3), Q(-2, 3), and R(1, -3). What are the coordinates of the vertices of $\Delta$ P'Q'R' for a translation of $T_{<-3,\ 2>}$ ?

P'(-7, 5), Q'(-5, 5), R'(-2, -1)

P'(-1, 1), Q'(1, 1), R'(4, -6)

P'(-1, 5), Q'(-5, 1), R'(4, -1)

None of the above

Answer explanation

This translation rule tells us we have to move each points to the left 3 units and up 2 units. So we subtract 3 from the x value and add 2 to the y value.
Let's apply this rule to each coordinate:
(-4, 3) -> (-4 - 3, 3 + 2) -> (-7, 5)
(-2, 3) -> (-2 - 3, 3 + 2) -> (-5, 5)
(1, -3) -> (1 - 3, -3 + 2) -> (-2, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Microsoft

or continue with

Facebook

Apple

Others

Already have an account?

Similar Resources on Wayground

40 questions

Angle Properties of Circles

Quiz

•

10th Grade

40 questions

TRY OUT UN MTK KE 1 2020

Quiz

•

7th - 9th Grade

35 questions

Geometria 1º ESO (1)

Quiz

•

KG - University

35 questions

PENSAMIENTOMAT_1P

Quiz

•

9th Grade

34 questions

Ujian Matematika Kelas VII

Quiz

•

7th Grade - University

40 questions

Geometriai alapismeretek-6.osztály

Quiz

•

6th - 12th Grade

41 questions

GRADE 9 MATH QUIZ

Quiz

•

9th - 12th Grade

40 questions

MATEMÁTICAS 2 - TRABAJO TRIMESTRAL 2. PARTE 1.

Quiz

•

8th Grade - University

Popular Resources on Wayground

5 questions

A Home on the Shore

Quiz

•

3rd Grade

28 questions

US History Regents Review

Quiz

•

11th Grade

6 questions

A Horse Tale

Quiz

•

3rd Grade

20 questions

Math Review

Quiz

•

3rd Grade

10 questions

Juneteenth History and Significance

Interactive video

•

5th - 8th Grade

20 questions

Dividing Fractions

Quiz

•

5th Grade

55 questions

A Long Walk to Water Final Review

Quiz

•

6th - 8th Grade

10 questions

Equation Word Problems

Quiz

•

7th Grade

Discover more resources for Mathematics

6 questions

Mayan Mathematics part 1

Presentation

•

9th - 12th Grade

10 questions

Unit 9 Quiz

Quiz

•

9th - 12th Grade

Topic 3 Study Guide

A(n) _______________ is a transformation about a point with a given angle measure.

Reflections, translations, rotations, and glide reflections are the four types of _____________.

A line that a figure is reflected across so that it maps onto itself is called a(n) ____________.

The composition of a reflection and a translation is called a(n) _______________.

The set of points that a transformation acts on is called the ___________.

The result of a transformation is called the _______.

Does the transformation appear to be a rigid motion?

Rigid motions maintain angle measure and side length so this is definitely a rigid motion!

The vertices of Δ\DeltaΔ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of Δ\DeltaΔ H'J'K' for a reflection over the y-axis?

A reflection over the y axis has the rule:(x, y) -> (-x, y)Let's apply that rule to each coordinate:(-3, 2) -> (3, 2)(-1, -3) -> (1, -3)(4, 3) -> (-4, 3)

The vertices of Δ\DeltaΔ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of Δ\DeltaΔ H'J'K' for a reflection over the x-axis?

A reflection over the x axis has the rule:(x, y) -> (x, -y)Let's apply that rule to each coordinate:(-3, 2) -> (-3, -2)(-1, -3) -> (-1, 3)(4, 3) -> (4, -3)

The vertices of Δ\DeltaΔ PQR are P(-4, 3), Q(-2, 3), and R(1, -3). What are the coordinates of the vertices of Δ\DeltaΔ P'Q'R' for a translation of T<−3, 2>T_{<-3,\ 2>}T<−3, 2>​ ?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The vertices of $\Delta$ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of $\Delta$ H'J'K' for a reflection over the y-axis?

A reflection over the y axis has the rule:
(x, y) -> (-x, y)
Let's apply that rule to each coordinate:
(-3, 2) -> (3, 2)
(-1, -3) -> (1, -3)
(4, 3) -> (-4, 3)

The vertices of $\Delta$ HJK are H(-3, 2), J(-1, -3), and K(4, 3). What are the coordinates of the vertices of $\Delta$ H'J'K' for a reflection over the x-axis?

A reflection over the x axis has the rule:
(x, y) -> (x, -y)
Let's apply that rule to each coordinate:
(-3, 2) -> (-3, -2)
(-1, -3) -> (-1, 3)
(4, 3) -> (4, -3)

The vertices of $\Delta$ PQR are P(-4, 3), Q(-2, 3), and R(1, -3). What are the coordinates of the vertices of $\Delta$ P'Q'R' for a translation of $T_{<-3,\ 2>}$ ?