FG has points F(2.4) and G(6,1). If FG is dilated with respect to the origin by a factor of k, to produce F'G', which statement must be true?

The line that passes through F' and G' has a slope of -2k.

The line that passes through F' and G' intersects the y-axis at (0, 5.5+k).

The line that passes through F' and G' intersects the y-axis at (0, 5.5).

The line that passes through F' and G' has a slope of -2.

The vertices of triangle PQR are located at P(2,5), Q(12,20), and R(12,5). The vertices of the triangle will undergo the transformation described by the rule:(x,y)→(x,⅓y). Which statement about the image triangle is true?

The area of the image will be ⅓ the area of the preimage.

The perimeter of the image will be 3 times the perimeter of the preimage.

The area of the image will be 3 times the area of the preimage.

The perimeter of the image will be ⅓ the perimeter of the preimage.

The vertices of triangle PQR are located at P(2,5), Q(12,20), and R(12,5). The vertices of the triangle will undergo the transformation described by the rule:(x,y)→(⅓x,⅓y). Which statement about the image triangle is true?

The perimeter of the image will be ⅓ the perimeter of the preimage.

The perimeter of the image will be 3 times the perimeter of the preimage.

The area of the image will be 3 times the area of the preimage.

The area of the image will be ⅓ the area of the preimage.

The vertices of triangle PQR are located at P(2,5), Q(12,20), and R(12,5). The vertices of the triangle will undergo the transformation described by the rule:(x,y)→(⅓x,⅓y). Which statement about the image triangle is true?

The area of the image will be 1/9 the area of the preimage.

The perimeter of the image will be 3 times the perimeter of the preimage.

The area of the image will be 3 times the area of the preimage.

The area of the image will be ⅓ the area of the preimage.

Transformations Triangles

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

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14 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Triangles LMN and OPQ have the following characteristics:
ML=12, LN=10, and m<M=55⁰
PO=8, PQ=4, and m<P=55⁰.
What additional information is sufficient to show that Triangle LMN can be transformed and mapped onto Triangle OPQ?

<LMN≅<QOP

OP=6

<NLM≅<QOP

MN=9

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Point P(-3,-1) is transformed using the rule (x-3,y+1). The image P' is then rotated clockwise 90⁰ about the origin, resulting in point P''. What are the coordinates of P''?

(6,0)

(0,6)

(-6,0)

(0,-6)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Triangle WXY has vertices W(2,5), X(16,8), and Y(2,2). If Triangle WXY is dilated by a factor of ¼, what are the coordinates of X'?

(1,3)

(6,4)

(48.32)

(4,2)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Triangle P'Q'R' is produced by applying a transformation to PQR. P(1,1), Q(3,5), R(6.2). P'(-2,-6), Q'(0,-2), R'(3,-5). Which transformation was used?

(x-3,y-7)

(x+3,y+7)

(x-7,y-3)

(x+7,y+3)

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A quadrilateral is rotated 180⁰ about the origin. Which rule will describe the transformation?

(x,y)

(-x,y)

(x,-y)

(-x,-y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

M(5,-5) is rotated 180⁰ about the origin, what till be the coordinates of the image of M?

(5,5)

(5,-5)

(-5,5)

(-5,-5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Triangle PQR has vertices P(-1,3), Q(1,2), and R(-2,-1). When Triangle PQR is reflected over line y=-2, what are the coordinates of P'?

(-1,-3)

(-1,-7)

(-2,-2)

(-3,-3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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Transformations Triangles

Triangles LMN and OPQ have the following characteristics:
ML=12, LN=10, and m<M=55⁰
PO=8, PQ=4, and m<P=55⁰.
What additional information is sufficient to show that Triangle LMN can be transformed and mapped onto Triangle OPQ?

Point P(-3,-1) is transformed using the rule (x-3,y+1). The image P' is then rotated clockwise 90⁰ about the origin, resulting in point P''. What are the coordinates of P''?

Triangle WXY has vertices W(2,5), X(16,8), and Y(2,2). If Triangle WXY is dilated by a factor of ¼, what are the coordinates of X'?

Triangle P'Q'R' is produced by applying a transformation to PQR. P(1,1), Q(3,5), R(6.2). P'(-2,-6), Q'(0,-2), R'(3,-5). Which transformation was used?

A quadrilateral is rotated 180⁰ about the origin. Which rule will describe the transformation?

M(5,-5) is rotated 180⁰ about the origin, what till be the coordinates of the image of M?

Triangle PQR has vertices P(-1,3), Q(1,2), and R(-2,-1). When Triangle PQR is reflected over line y=-2, what are the coordinates of P'?

FG has points F(2.4) and G(6,1). If FG is dilated with respect to the origin by a factor of k, to produce F'G', which statement must be true?

Which transformation will always product a congruent figure?

Point P' is the image of point P after a counterclockwise rotation of 90⁰ about the origin. If the coordinates of point P' are (-7,3), what are the coordinates of point P?

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Discover more resources for Mathematics

Transformations Triangles

Triangles LMN and OPQ have the following characteristics:ML=12, LN=10, and m<M=550PO=8, PQ=4, and m<P=550.What additional information is sufficient to show that Triangle LMN can be transformed and mapped onto Triangle OPQ?

Point P(-3,-1) is transformed using the rule (x-3,y+1). The image P' is then rotated clockwise 900 about the origin, resulting in point P''. What are the coordinates of P''?

Triangle WXY has vertices W(2,5), X(16,8), and Y(2,2). If Triangle WXY is dilated by a factor of ¼, what are the coordinates of X'?

Triangle P'Q'R' is produced by applying a transformation to PQR. P(1,1), Q(3,5), R(6.2). P'(-2,-6), Q'(0,-2), R'(3,-5). Which transformation was used?

A quadrilateral is rotated 1800 about the origin. Which rule will describe the transformation?

M(5,-5) is rotated 1800 about the origin, what till be the coordinates of the image of M?

Triangle PQR has vertices P(-1,3), Q(1,2), and R(-2,-1). When Triangle PQR is reflected over line y=-2, what are the coordinates of P'?

FG has points F(2.4) and G(6,1). If FG is dilated with respect to the origin by a factor of k, to produce F'G', which statement must be true?

Which transformation will always product a congruent figure?

Point P' is the image of point P after a counterclockwise rotation of 900 about the origin. If the coordinates of point P' are (-7,3), what are the coordinates of point P?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Triangles LMN and OPQ have the following characteristics:
ML=12, LN=10, and m<M=55⁰
PO=8, PQ=4, and m<P=55⁰.
What additional information is sufficient to show that Triangle LMN can be transformed and mapped onto Triangle OPQ?

Point P(-3,-1) is transformed using the rule (x-3,y+1). The image P' is then rotated clockwise 90⁰ about the origin, resulting in point P''. What are the coordinates of P''?

A quadrilateral is rotated 180⁰ about the origin. Which rule will describe the transformation?

M(5,-5) is rotated 180⁰ about the origin, what till be the coordinates of the image of M?

Point P' is the image of point P after a counterclockwise rotation of 90⁰ about the origin. If the coordinates of point P' are (-7,3), what are the coordinates of point P?