Question 1

What could be a possible length for $\overline{\mathrm{AC}}$ ? Give your answer as an inequality.

Accepted Answer

7<x<23

Answer

7<x>23

Answer

7>x<23

Answer

7>x>23

Question 2

What is the $\overline{\mathrm{AC}}$ ?

Accepted Answer

77

Question 3

Consider trapezoid WXZU where V and Y are the midpoints of the legs. Find the length, in inches, of UZ.

Accepted Answer

10

Answer

2

Answer

36

Answer

3

Question 4

The triangles in the figures are similar. Find the perimeter of the trapezoid.

Accepted Answer

95

Question 5

Pentagon ABCDE is reflected over the line x = -1, followed by a reflection over the line x = 2. Complete the statement below to show the translation of ABCDE to A"B"C"D"E.

Accepted Answer

(x + 6, y + 0)

Answer

(x + 0, y + 6)

Answer

(x - 8, y - 2)

Answer

(x - 2, y + 2)

Question 6

A regular hexagon is rotated on a coordinate plane. Which of the following rotations result in a hexagon with the same appearance as the original?

Question 7

Line segment RS has endpoints R(-2, 4) and S(-4, -1). Line segment R"S" has endpoints R"(3, -3) and S"(5, 2). Name the rigid transformations that map line segment RS to line segment R"S".

Accepted Answer

rotation of $\overline{\mathrm{AC}}$ about the origin, followed by a translation.

$\left(x,\ y\right)\rightarrow\left(x\ +\ 1,\ y\ +\ 1\right)$

Answer

rotation over the line y = x, followed by a translation $\left(x,\ y\right)\rightarrow\left(x\ +\ 1,\ y\ +1\right)$

Answer

translation $\overline{\mathrm{AC}}$ , followed by a rotation of $\left(x,\ y\right)\rightarrow\left(x\ +\ 1,\ y\ +1\right)$ counterclockwise about the origin.

Answer

rotation of $\overline{\mathrm{AC}}$ counterclockwise about the origin, followed by a translation

$\left(x,\ y\right)\rightarrow\left(x\ +\ 1,\ y\ +\ 1\right)$

Question 8

Which statement best explains why all circles are similar?

Accepted Answer

Any circle can be mapped onto any other circle using a dilation and a translation.

Answer

In all circles, the length of the radius is half the length of the diameter.

Answer

Any circle can be mapped onto any other circle using a translation.

Answer

All circles are perfectly round with one center point.

Question 9

What is Statement #4?

Accepted Answer

$\overline{\mathrm{AD}}\ \cong\overline{\mathrm{BC}}$

Answer

$\overline{\mathrm{AD}}\ \cong\overline{\mathrm{BC}}$

Answer

$\overline{\mathrm{AD}}\ \cong\overline{\mathrm{BC}}$

Answer

$\overline{\mathrm{AD}}\ \cong\overline{\mathrm{BC}}$

Question 10

Find $\overline{\mathrm{AC}}$

Accepted Answer

137

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