Quiz about Algebraic Representations-Part 1

Question 1

Which algebraic representation best describes the transformation shown?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(-x,y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(y,-x\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x,-y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(-x,-y\right)$$

Question 2

Circle I was transformed to create Circle II. Which rule best describes this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(\frac{8}{3}x,\frac{8}{3}y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(\frac{3}{8}x,\frac{3}{8}y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(3x,\ 3y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(\frac{1}{3}x,\frac{1}{3}y\right)$$

Question 3

Which algebraic representation best describes the transformation shown?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x,-y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(y,-x\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(-x,-y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(-x,y\right)$$

Question 4

Rectangle ABCD is dilated with a scale factor of 0.5 to create rectangle A'B'C'D'. What will the coordinates be for B'?

Accepted Answer

$$\left(2.5,1\right)$$

Answer

$$\left(5,2\right)$$

Answer

$$\left(5.5,2.5\right)$$

Answer

$$\left(10,4\right)$$

Question 5

Rectangle ABCD was translated to create rectangle A'B'C'D'. Which algebraic representation best describes this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x,y-5\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x-5,y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(-x,\ y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x,-y\right)$$

Question 6

Trapezoid PQRS will be dilated with the origin as the center of dilation to create trapezoid P'Q'R'S'. The vertex Q' will be at $$\left(26,52\right).$$ Which rule best represents this dilation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(13x,13y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(2x,2y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(\frac{1}{13}x,\frac{1}{13}y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\frac{1}{2}y\right)$$

Question 7

Quadrilateral EFGH was translated to create quadrilateral E'F'G'H'. Which algebraic representation best describes this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x-3,y-6\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+6,y-3\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+3,\ y+6\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x-6,y-3\right)$$

Question 8

The table shows the coordinates of the vertices of pentagon ABCDE. Pentagon ABCDE is dilated by a scale factor of $$\frac{7}{3}$$ with the origin as the center of dilation to create pentagon A'B'C'D'E'. If (x,y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A'B'C'D'E'?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule $$\left(x,y\right)\rightarrow\left(-x,y\right)$$ to create triangle H'J'K'. Which graph represents triangle H'J'K'?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 10

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule $$\left(x,y\right)\rightarrow\left(x,-y\right)$$ to create triangle H'J'K'. Which graph represents triangle H'J'K'?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Algebraic Representations-Part 1

20 questions

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes this transformation?

Which algebraic representation best describes the transformation shown?

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes this transformation?

Triangle ABC was transformed to create triangle A'B'C'. Which algebraic representation best describes this transformation?

Circle I was transformed to create Circle II. Which rule best describes this transformation?

Which algebraic representation best describes the transformation shown?

Rectangle ABCD is dilated with a scale factor of 0.5 to create rectangle A'B'C'D'. What will the coordinates be for B'?

Rectangle ABCD was translated to create rectangle A'B'C'D'. Which algebraic representation best describes this transformation?

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