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10
1 point
Which representation of a transformation on a coordinate grid does not preserve congruence?

(x,y)rarr((1)/(7)x,(1)/(7)y)quad(x,y)rarr(x+7,y+7)
Option 1
Option 2

(x,y)rarr(x,-y)quad(x,y)rarr(y,-x)
Option 3
Option 4
Other:

$10$ $\newline$ $1$ point $\newline$ Which representation of a transformation on a coordinate grid does not preserve congruence? $\newline$ $(x, y) \rightarrow\left(\frac{1}{7} x, \frac{1}{7} y\right) \quad(x, y) \rightarrow(x+7, y+7)$ $\newline$ Option $1$ $\newline$ Option $2$ $\newline$ $(x, y) \rightarrow(x,-y) \quad(x, y) \rightarrow(y,-x)$ $\newline$ Option $3$ $\newline$ Option $4$ $\newline$ Other:

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Write equations of cosine functions using properties

Full solution

Q.

10

\newline

1

point

\newline

Which representation of a transformation on a coordinate grid does not preserve congruence?

\newline

(x, y) \rightarrow\left(\frac{1}{7} x, \frac{1}{7} y\right) \quad(x, y) \rightarrow(x+7, y+7)

\newline

Option

1

\newline

Option

2

\newline

(x, y) \rightarrow(x,-y) \quad(x, y) \rightarrow(y,-x)

\newline

Option

3

\newline

Option

4

\newline

Other:

Scale by $\frac{1}{7}$ : Option $1$ scales the coordinates by $\frac{1}{7}$ , which changes the size of the shape, so it does not preserve congruence.
Translate by adding $7$ : Option $2$ translates the coordinates by adding $7$ to both $x$ and $y$ , which preserves the size and shape, so it preserves congruence.
Reflect over x-axis: Option $3$ reflects the coordinates over the x-axis, which preserves the size and shape, so it preserves congruence.
Rotate $90$ degrees counterclockwise: Option $4$ rotates the coordinates $90$ degrees counterclockwise, which preserves the size and shape, so it preserves congruence.

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