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SAT Math Practice Question #28577 - SATify | SATify

#28577

geometry

transformations

medium

120 sec

Triangle $A BC$ lies in the first quadrant. Points $A, B,$ and $C$ are reflected across the line $y = - x$ to points $A^{'}, B^{'},$ and $C^{'}$ , respectively. Assume that none of the vertices of the triangle lie on the line $y = - x$ . Which of the following statements is $\underline{n o t}$ always true?

A.

Triangle $A^{'} B^{'} C^{'}$ lies in the third quadrant.

B.

Triangles $A BC$ and $A^{'} B^{'} C^{'}$ have the same area.

C.

The slope of line $A A^{'}$ is $1$ .

D.

The slopes of lines $A A^{'}$ and $C C^{'}$ are the same.

E.

Lines $A B$ and $A^{'} B^{'}$ are parallel to each other.