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Pavlova-9 [17]
3 years ago
7

Clarissa made a scale drawing of a rectangle. She used a scale factor of 3 to draw the new rectangle. How does the length of the

new rectangle compare to the original?
A.The length of the new rectangle is 1/3 the length of the original.
B.The length of the new rectangle is 1/12 the length of the original.
C.The length of the new rectangle is 3 times the length of the original.
D.The length of the new rectangle is 12 times the length of the original.
WITH EXPLANATION
Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer:

C. The length of the new rectangle is 3 times the length of the original.

Step-by-step explanation:

This rectangle is basically being dilated. Meaning it is being either reduced of enlarged. (In this case, enlarged) Since the scale factor is 3, you would multiply the length by 3 and that would be your new length.

zvonat [6]3 years ago
6 0

Answer:

The answer is c

Step-by-step explanation:

I did it on edge

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Graph and label the image of the figure below after a dilation by a factor of 1/2.
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Answer:

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see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

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Then graph the coordinates

First, we need to state the coordinates of the original image:

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F = (4, -2)

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W = (5, -5)

Next, we will apply a scale factor of 1/2:

\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\  \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\  \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\  \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

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