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Otus $\newline$ my.otus.com/assessmenv/assess/ $849260$ $\newline$ GR $8$ MNC_Unit $6$ Assessment_U $6$ _UA $\newline$ Figure $A B C D$ and $E F G H$ are shown in the coordinate plane below. $\newline$ Which statement below is true? $\newline$ Figures $A B C D$ and $E F G H$ are congruent but not similar. $\newline$ Figure EFGH is similar to $A B C D$ because it is a rotation and then a dilation of $A B C D$ . $\newline$ Figure $A B C D$ is similar to $E F G H$ because $A B C D$ has been dilated with a scale factor of $1$ . $\newline$ Figures $A B C D$ and $E F G H$ are neither similar nor congruent.

Full solution

Q. Otus

\newline

my.otus.com/assessmenv/assess/

849260

\newline

8

MNC_Unit

6

Assessment_U

6

_UA

\newline

Figure

A B C D

and

E F G H

are shown in the coordinate plane below.

\newline

Which statement below is true?

\newline

Figures

A B C D

and

E F G H

are congruent but not similar.

\newline

Figure EFGH is similar to

A B C D

because it is a rotation and then a dilation of

A B C D

\newline

Figure

A B C D

is similar to

E F G H

because

A B C D

has been dilated with a scale factor of

1

\newline

Figures

A B C D

and

E F G H

are neither similar nor congruent.

Check Congruence: Check if $ABCD$ and $EFGH$ are congruent by comparing their side lengths and angles.
Verify Size and Shape: If $ABCD$ and $EFGH$ are congruent, they must have the same size and shape, but they can be rotated or reflected.
Check Similarity: Check if $ABCD$ and $EFGH$ are similar by determining if one is a scaled version of the other with corresponding angles being equal.
Consider Rotation and Dilation: If $EFGH$ is a rotation and dilation of $ABCD$ , then it must be similar to $ABCD$ , not congruent, because congruent figures cannot have different sizes.
Check Scale Factor: If $ABCD$ has been dilated with a scale factor of $1$ to get $EFGH$ , then they are congruent because a scale factor of $1$ means they are the same size.
Evaluate Dilation Impact: Since a dilation with a scale factor of $1$ does not change the size of the figure, the statement that $ABCD$ is similar to $EFGH$ because $ABCD$ has been dilated with a scale factor of $1$ is incorrect.