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Ordered Pair Rules Transformations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Ordered Pair Rules Transformations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A polygon is graphed on a coordinate grid with (x,y) representing the location of a point on the polygon. The polygon is transformed using the rule . Which statement must be true?

If a is greater than 1, the image is congruent to the pre-image.

If a is between 1 and 1, the image is congruent to the pre-image.

If a is greater than 1, the image is smaller that the pre-image.

If a is between 0 and 1, the image is smaller than the pre-image.

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation. Which ordered pair represents the location of point R'?

(−3n, −5n)\left(-\frac{3}{n},\ -\frac{5}{n}\right)

(−3n, −5n)\left(-3n,\ -5n\right)

(−3+n, −5+n)\left(-3+n,\ -5+n\right)

(−3−n, −5−n)\left(-3-n,\ -5-n\right)

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. The polygon will be dilated. The vertex Q' will be located at (21, 7). Which rule best represents this dilation?

(x, y)→ (27x, 27y)\left(x,\ y\right)\rightarrow\ \left(\frac{2}{7}x,\ \frac{2}{7}y\right)

(x, y)→ (x+15, y+5)\left(x,\ y\right)\rightarrow\ \left(x+15,\ y+5\right)

(x, y)→ (x−15, y−5)\left(x,\ y\right)\rightarrow\ \left(x-15,\ y-5\right)

(x, y)→ (72x, 72y)\left(x,\ y\right)\rightarrow\ \left(\frac{7}{2}x,\ \frac{7}{2}y\right)

Tags

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The table shows the coordinates of the vertices of pentagon ABCDE. Pentagon ABCDE is dilated by a scale factor of 73\frac{7}{3} to create pentagon A'B'C'D'E'. Which ordered pair represents the location of the corresponding points on pentagon A'B'C'D'E'?

(37x, 37y)\left(\frac{3}{7}x,\ \frac{3}{7}y\right)

(x+73, y+73)\left(x+\frac{7}{3},\ y+\frac{7}{3}\right)

(x+37, y+37)\left(x+\frac{3}{7},\ y+\frac{3}{7}\right)

(73x, 73y)\left(\frac{7}{3}x,\ \frac{7}{3}y\right)

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The coordinates of the vertices of triangle XYZ are X(-2, -1), Y(6, 8), Z(8, 4). Triangle XYZ is dilated by a scale factor of 32\frac{3}{2} to create triangle X'Y'Z'. If (x, y) represents the location of any point of triangle XYZ, which ordered pair represents the location of the corresponding point on triangle X'Y'Z'?

(32x, 32y)\left(\frac{3}{2}x,\ \frac{3}{2}y\right)

(x+32, y+32)\left(x+\frac{3}{2},\ y+\frac{3}{2}\right)

(23x, 23y)\left(\frac{2}{3}x,\ \frac{2}{3}y\right)

(x+23, y+23)\left(x+\frac{2}{3},\ y+\frac{2}{3}\right)

Tags

CCSS.8.G.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The figure is rotated 180°180\degree clockwise to create a new figure. Which rule describes this transformation?

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

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

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

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

Tags

CCSS.HSG.CO.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Parallelogram PQRS is rotated 90°90\degree clockwise to create P'Q'R'S'. Which rule describes this transformation?

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

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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