Question 1

A square pyramid is intersected by a plane passing through the vertex and perpendicular to the base.

Which two-dimensional shape describes this cross section?

Accepted Answer

triangle

Answer

square

Answer

pentagon

Answer

rectangle

Question 2

Trapezoid $ABCD$ is drawn such that $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ .

Trapezoid $A'B'C'D'$ is the image of trapezoid $ABCD$ after a rotation of $110\degree$ counterclockwise about point $P$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 3

What is the volume of a right circular cone that has a height of $ABCD$ centimeters and a radius of $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ centimeters, to the nearest tenth of a cubic centimeter?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 4

In the diagram below of right triangle $ABCD$ , where $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ is a right angle, $SU=13.6$ and $SN=12.3$ .

What is $110\degree$ , to the nearest degree?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 5

In the diagram below of circle $ABCD$ , diameter $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and chord $SU=13.6$ are drawn, and $SN=12.3$ .

What is $110\degree$ ?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 6

In the diagram below of parallelogram $ABCD$ , diagonal $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ are drawn, $SN=12.3$ , $m\angle DAB=111\degree$ , and $m\angle DBC=39\degree$ .

What is $m\angle DEF$ ?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 7

In the diagram below of $ABCD$ , $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ is drawn parallel to $SU=13.6$ such that $SN=12.3$ is on $m\angle DAB=111\degree$ and $m\angle DBC=39\degree$ is on $\overline{\mathrm{CT}}$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 8

On the set of axes below, congruent triangles $ABCD$ and $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ are drawn.

Which sequence of transformations maps $A'B'C'D'$ onto $ABCD$ ?

Accepted Answer

A counterclockwise rotation of $ABCD$ degrees about the origin, followed by a translation $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ units to the right.

Answer

A counterclockwise rotation of $ABCD$ degrees about the origin, followed by a translation $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ units down.

Answer

A counterclockwise rotation of $ABCD$ degrees about the origin, followed by a reflection over the $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ .

Answer

A clockwise rotation of $ABCD$ degrees about the origin, followed by a reflection over the $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ .

Question 9

An equation of circle $ABCD$ is $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ . What are the coordinates of the center and the length of the radius of circle $SU=13.6$ ?

Accepted Answer

center $ABCD$ and radius $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$

Answer

center $ABCD$ and radius $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$

Answer

center $ABCD$ and radius $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$

Answer

center $ABCD$ and radius $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$

Question 10

Parallelogram $ABCD$ , with diagonals $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ , is drawn below.

Which additional statement is sufficient to prove that $ABCD$ is a rectangle?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 11

A gardener wants to buy enough mulch to cover a rectangular garden that is $ABCD$ feet by $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ feet. One bag contains $SU=13.6$ cubic feet of mulch and costs $SN=12.3$ . How much will the minimum number of bags cost to cover the garden with mulch $m\angle DAB=111\degree$ inches deep?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 12

In the diagram below, $ABCD$ , where $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ are right angles. Which expression is always equivalent to sin $SN=12.3$ ?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 13

On the set of axes below, $ABCD$ is the image of $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ after a dilation of scale factor $SU=13.6$ .

The center of dilation is at

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 14

In the diagram below of isosceles triangle $ABCD$ with the vertex angle at $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ , $SU=13.6$ and $SN=12.3$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 15

Rectangle $ABCD$ has two vertices at coordinates $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ . The slope of $SN=12.3$ is

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 16

In right triangle $ABCD$ , $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ , $SU=13.6$ , and $SN=12.3$ .

To the nearest tenth, the length of $P$ is

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 17

The measure of one of the base angles of an isosceles triangle is $ABCD$ . The measure of an exterior angle at the vertex of the triangle is

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 18

In the diagram below, $ABCD$ , $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ , $SU=13.6$ , and $SN=12.3$ bisects $m\angle DAB=111\degree$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 19

The line whose equation is $ABCD$ is dilated by a scale factor of $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ centered at the point $SU=13.6$ . An equation of its image is

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 20

Which figure will not carry onto itself after a $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ -degree rotation about its center?

Accepted Answer

regular octagon

Answer

regular hexagon

Answer

regular nonagon

Answer

equilateral triangle

Question 21

Triangle $ABCD$ is drawn and $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ .

Which statement must be true?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 22

In $ABCD$ , $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ is the midpoint of $SU=13.6$ and $SN=12.3$ is the midpoint of $m\angle DAB=111\degree$ . If $m\angle DBC=39\degree$ and $\overline{\mathrm{CT}}$ , what is the length of $\overline{\mathrm{MN}}$ ?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Question 23

In the diagram below of isosceles trapezoid $ABCD$ , diagonals $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ intersect at $SN=12.3$ and $m\angle DAB=111\degree$ , with nonparallel sides $m\angle DBC=39\degree$ and $\overline{\mathrm{CT}}$ .

Which pair of triangles are not always similar?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$ and $\bigtriangleup ATS$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$ and $\bigtriangleup ATS$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$ and $\bigtriangleup ATS$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$ and $\bigtriangleup ATS$

Question 24

The endpoints of $ABCD$ are $\overline{\mathrm{AB}}\parallel\overline{\mathrm{DC}}$ and $SU=13.6$ . Which equation of a line represents the perpendicular bisector of $SN=12.3$ ?

Accepted Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

Answer

$\overline{\mathrm{A'B'}}\parallel\overline{\mathrm{D'C'}}$

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