Question 1

If $\Delta ABC$ is mapped onto $\Delta DEF$ after a line reflection and  $\Delta DEF$ is mapped onto  $\Delta XYZ$ after a translation, the relationship between  $\Delta ABC$  and  $\Delta XYZ$ is that they are always

Accepted Answer

congruent and similar

Answer

neither similar nor congruent

Answer

similar but not congruent

Answer

congruent but not similar

Question 2

In regular hexagon $ABCDEF$ shown below,  $\overline {AD}$,  $\overline {BE}$, and  $\overline {CF}$ all intersect at  $G$.

When  $\Delta ABG$ is reflected over $\overline {BG}$  and then rotated $180 \degree$ about point $G$,  $\Delta ABG$ is mapped onto

Accepted Answer

$\Delta FEG$

Answer

$\Delta CBG$

Answer

$\Delta AFG$

Answer

$\Delta DEG$

Question 3

In the diagram below $\Delta ABC$ with sides of 13, 15, and 16, is mapped onto $\Delta DEF$ after a clockwise rotation of $90\degree$  about point $P$.

If $DE =2x -1$, what is the value of $x$?

Accepted Answer

8.5

Answer

7.5

Answer

8

Answer

7

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