Question 1

On the set of axes below, $\overline{\mathrm{AB}}$ is dilated by a scale factor of $\frac{5}{2}$ centered at point $P$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 2

The coordinates of the vertices of parallelogram $\overline{\mathrm{AB}}$ are $\frac{5}{2}$ , $P$ , $E\left(-1,-1\right)$ , and $H\left(-8,-1\right)$ . What are the coordinates of $P$ , the point of intersection of diagonals $\overline{\mathrm{CE}}$ and $\overline{\mathrm{DH}}$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 3

The coordinates of the endpoints of $\overline{\mathrm{AB}}$ are $\frac{5}{2}$ and $P$ . Point $E\left(-1,-1\right)$ is on $H\left(-8,-1\right)$ such that $P$ is in the ratio of $\overline{\mathrm{CE}}$ . What are the coordinates of point $\overline{\mathrm{DH}}$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 4

If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

Accepted Answer

a right triangle

Answer

an acute triangle

Answer

an equilateral triangle

Answer

an obtuse triangle

Question 5

In the diagram below of $\overline{\mathrm{AB}}$ , $\frac{5}{2}$ is a median to $P$ , and $E\left(-1,-1\right)$ .

If $\mathrm{m}\angle DAB=32\degree$ , what is $\mathrm{m}\angle BDC$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 6

What are the coordinates of the center and the length of the radius of the circle whose equation is $\overline{\mathrm{AB}}$ ?

Accepted Answer

center $\overline{\mathrm{AB}}$ and radius $\frac{5}{2}$

Answer

center $\overline{\mathrm{AB}}$ and radius $\frac{5}{2}$

Answer

center $\overline{\mathrm{AB}}$ and radius $\frac{5}{2}$

Answer

center $\overline{\mathrm{AB}}$ and radius $\frac{5}{2}$

Question 7

In the diagram below of parallelogram $\overline{\mathrm{AB}}$ , $\frac{5}{2}$ , $P$ bisects $E\left(-1,-1\right)$ , $H\left(-8,-1\right)$ bisects $P$ , and $\overline{\mathrm{CE}}$ and $\overline{\mathrm{DH}}$ intersect at $E$ .

If $\mathrm{m}\angle B=75\degree$ , then the measure of $\angle EFA$ is

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 8

What is an equation of a line that is perpendicular to the line whose equation is $\overline{\mathrm{AB}}$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 9

Triangles $\overline{\mathrm{AB}}$ and $\frac{5}{2}$ are graphed on the set of axes below.

Which sequence of rigid motions will prove $\Delta ABC\cong\Delta RST$ ?

Accepted Answer

a rotation of $\overline{\mathrm{AB}}$ centered at $\frac{5}{2}$

Answer

a line reflection over $\overline{\mathrm{AB}}$

Answer

a line reflection over the $\overline{\mathrm{AB}}$ -axis followed by a translation of $\frac{5}{2}$ units right

Answer

a line reflection over the $\overline{\mathrm{AB}}$ -axis followed by a line reflection over $\frac{5}{2}$

Question 10

If the line represented by $\overline{\mathrm{AB}}$ is dilated by a scale factor of $\frac{5}{2}$ centered at the origin, which statement about the image is true?

Accepted Answer

The slope is $\overline{\mathrm{AB}}$ and the y-intercept is $\frac{5}{2}$ .

Answer

The slope is $\overline{\mathrm{AB}}$ and the y-intercept is $\frac{5}{2}$ .

Answer

The slope is $\overline{\mathrm{AB}}$ and the y-intercept is $\frac{5}{2}$ .

Answer

The slope is $\overline{\mathrm{AB}}$ and the y-intercept is $\frac{5}{2}$ .

Question 11

Square $\overline{\mathrm{AB}}$ has a side length of $\frac{5}{2}$ inches. Which three-dimensional object will be formed by continuously rotating square $P$ around side $E\left(-1,-1\right)$ ?

Accepted Answer

a right cylinder with a radius of $\overline{\mathrm{AB}}$ inches

Answer

a right cone with a base radius of $\overline{\mathrm{AB}}$ inches

Answer

a right cylinder with a diameter of $\overline{\mathrm{AB}}$ inches

Answer

a right cone with a base diameter of $\overline{\mathrm{AB}}$ inches

Question 12

Circle $\overline{\mathrm{AB}}$ with a radius of $\frac{5}{2}$ is drawn below. The measure of central angle $P$ is $E\left(-1,-1\right)$ .

What is the area of the shaded sector of circle $\mathrm{m}\angle DAB=32\degree$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 13

In quadrilateral $\overline{\mathrm{AB}}$ , diagonals $\frac{5}{2}$ and $P$ intersect at $E\left(-1,-1\right)$ . Which statement would always prove quadrilateral $H\left(-8,-1\right)$ is a parallelogram?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$ and $\overline{\mathrm{QT}}\cong\overline{\mathrm{RS}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$ and $\overline{\mathrm{QT}}\cong\overline{\mathrm{RS}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$ and $\overline{\mathrm{QT}}\cong\overline{\mathrm{RS}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$ and $\overline{\mathrm{QT}}\cong\overline{\mathrm{RS}}$ are supplementary.

Question 14

A standard-size golf ball has a diameter of $\overline{\mathrm{AB}}$ inches. The material used to make the golf ball weighs $\frac{5}{2}$ ounce per cubic inch. What is the weight, to the nearest hundredth of an ounce, of one golf ball?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 15

Chelsea is sitting $\overline{\mathrm{AB}}$ feet from the foot of a tree. From where she is sitting, the angle of elevation of her line of sight to the top of the tree is $\frac{5}{2}$ . If her line of sight starts $P$ feet above ground, how tall is the tree, to the nearest foot?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 16

In the diagram below of right triangle $\overline{\mathrm{AB}}$ , altitude $\frac{5}{2}$ intersects hypotenuse $P$ at $E\left(-1,-1\right)$ .

Which equation is always true?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 17

A countertop for a kitchen is modeled with the dimensions shown below. An $\overline{\mathrm{AB}}$ -inch by $\frac{5}{2}$ -inch rectangle will be removed for the installation of the sink.

What is the area of the top of the installed countertop, to the nearest square foot?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 18

In the diagram below, $\overline{\mathrm{AB}}$ connects points $\frac{5}{2}$ and $P$ on the congruent sides of isosceles triangle $E\left(-1,-1\right)$ , such that $H\left(-8,-1\right)$ is isosceles with vertex angle $P$ .

If $AB=10$ , $BD=5$ , and $DE=12$ , what is the length of $\mathrm{m}\angle B=75\degree$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 19

In $\overline{\mathrm{AB}}$ below, angle $\frac{5}{2}$ is a right angle.

Which statement must be true?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 20

In right triangle $\overline{\mathrm{AB}}$ , altitude $\frac{5}{2}$ is drawn to hypotenuse $P$ . If $E\left(-1,-1\right)$ and $H\left(-8,-1\right)$ , what is the length of $P$ ?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 21

What is the volume, in cubic centimeters, of a right square pyramid with base edges that are $\overline{\mathrm{AB}}$ cm long and a slant height of $\frac{5}{2}$ cm?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 22

In the diagram below, chords $\overline{\mathrm{AB}}$ and $\frac{5}{2}$ of circle $P$ intersect at $E\left(-1,-1\right)$ .

Which relationship must always be true?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Question 23

A rhombus is graphed on the set of axes below.

Which transformation would carry the rhombus onto itself?

Accepted Answer

reflection over the line $\overline{\mathrm{AB}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$ rotation counterclockwise about the origin

Answer

reflection over the line $\overline{\mathrm{AB}}$

Answer

reflection over the line $\overline{\mathrm{AB}}$

Question 24

A $\overline{\mathrm{AB}}$ -foot ladder leans against a wall and makes an angle of $\frac{5}{2}$ with the ground. What is the horizontal distance from the wall to the base of the ladder, to the nearest tenth of a foot?

Accepted Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$

Answer

$\overline{\mathrm{AB}}\parallel\overline{\mathrm{A'B'}}$