Question 1

What is the value of $n$ in the diagram below?

Accepted Answer

24

Answer

42

Answer

18

Answer

48

Question 2

Triangle M is similar to triangle N. Triangle M has two angles with measures of $32^\circ$ and $93^\circ$. Which two angle measures could be included in triangle N?

Accepted Answer

$93^\circ$ and $55^\circ$

Answer

$32^\circ$ and $58^\circ$

Answer

$93^\circ$ and $87^\circ$

Answer

$32^\circ$ and $74^\circ$

Question 3

Mya claims $(m\angle 3 + m\angle 4) = m\angle 1$, as shown in the triangle below.
Which equations explain why Mya's claim must be true?

Accepted Answer

$(m\angle1+m\angle2)=180 \degree$ and $(m\angle3+m\angle4+m\angle2)180 \degree$

Answer

$(m\angle1+m\angle2)=90 \degree$ and $(m\angle3+m\angle4+m\angle2)90 \degree$

Answer

$(m\angle1+m\angle2)=90 \degree$ and $(m\angle3+m\angle4)90 \degree$

Answer

$(m\angle1+m\angle2)=180 \degree$ and $(m\angle3+m\angle4)180 \degree$

Question 4

The measures of the angles in triangle UVW are shown in the diagram below.

What is the value of $x?$

Accepted Answer

$45$

Answer

$21$

Answer

$126$

Answer

$39$

Question 5

In the diagram below, lines $	ext {MN}$ and $	ext {JK}$ are parallel and are intersected by line $	ext {QT}.$

Which transformation could be used to show that $\angle 	ext {MRS}$ is congruent to  $\angle 	ext {JST}?$

Accepted Answer

translate $\angle 	ext {MRS}$ down and to the right

Answer

rotate $\angle 	ext {MRS}$ about the origin

Answer

reflect $\angle 	ext {MRS}$ over the $x 	ext{-axis}$

Answer

dilate  $\angle 	ext {MRS}$ by a scale factor of two with the center at point $	ext R$

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