Question 1

Triangle $	ext{LNR}$ is graphed on a coordinate grid shown below.

A translation $3$ units right and $2$ units down, followed by a dilation centered at the origin with a scale factor of $2$, is performed on triangle $	ext{LNR}$ to create triangle $	ext{L'N'R'}$. Which statement about side $\overline{	ext{L'N'}}$ of triangle $	ext{L'N'R'}$ is true?

Accepted Answer

Because vertex $	ext {L'}$ is located at $(-2, 6)$ and vertex $	ext {N'}$ is located at $(4,-2)$, the length of side $\overline{	ext{L'N'}}$ is $10$ units.

Answer

Because vertex $	ext {L'}$ is located at $(-4, 4)$ and vertex $	ext {N'}$ is located at $(2,-4)$, the length of side $\overline{	ext{L'N'}}$ is $10$ units.

Answer

Because vertex $	ext {L'}$ is located at $(-2, 6)$ and vertex $	ext {N'}$ is located at $(4,-2)$, the length of side $\overline{	ext{L'N'}}$ is $12$ units.

Answer

Because vertex $	ext {L'}$ is located at $(-4, 4)$ and vertex $	ext {N'}$ is located at $(2,-4)$, the length of side $\overline{	ext{L'N'}}$ is $12$ units.

Question 2

Points $	ext P$ and $	ext Q$ are graphed on the coordinate plane shown below. A cone with radius $r,$ slant height $s$, and height $h$ is also shown below.

For which radius $(r)$ and slant height $(s)$ is the height $(h)$ of the cone the same as the distance between points $	ext P$ and $	ext Q$?

Accepted Answer

$r = 8; s = 17$

Answer

$r = 9; s = 12$

Answer

$r = 5; s = 13$

Answer

$r = 6; s = 10$

Question 3

In the grid shown below, rectangle $	ext{ABCD}$ represents the location of a pool at a city park.

Anna swims in a straight line from corner $	ext A$ to corner $	ext C$ of the swimming pool. What is the distance, in meters, Anna swims?

Accepted Answer

$\sqrt 65$

Answer

$7$

Answer

$11$

Answer

$\sqrt 22$

Question 4

Point R is located at $(1, 2)$ on a coordinate grid. Point $	ext S$ is located at $(4, ^-5)$ on the same coordinate grid. What is the distance from point $	ext R$ to point $	ext S$, rounded to the nearest tenth?

Accepted Answer

$7.6\,	ext{units}$

Answer

$3.2\,	ext{units}$

Answer

$10.0\,	ext{units}$

Answer

$4.6\,	ext{units}$

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