Question 1

Two vertices of a right triangle are located at $(2, 1)$ and $(2, 4)$ on a coordinate grid. The location of the third vertex of the triangle can be described by an ordered pair in which the whole number $	ext{x-coordinate}$ is LESS than the whole number $	ext{y-coordinate}$. What is the greatest number of ordered pairs that could describe the location of the third vertex of the triangle?

Accepted Answer

4

Answer

1

Answer

6

Answer

2

Question 2

Selena is using a coordinate grid to graph information about the last few baseball games in which she pitched.

$\quad\bullet\enspace$ The $	ext{x-coordinate}$ of each point she graphs is the number of runs she allowed.
$\quad\bullet\enspace$ The $	ext{y-coordinate}$of each point she graphs is the number of strikeouts she recorded.

Which statement about Selena's graph is true?

Accepted Answer

A point other than the origin graphed on the $	ext{y-axis}$ means Selena recorded at least one strikeout.

Answer

A point graphed at $(2, 3)$ means Selena allowed $3$ runs and recorded $2$ strikeouts.

Answer

A point other than the origin graphed on the $	ext{x-axis}$ means Selena allowed no runs.

Answer

A point graphed at $(3, 4)$ means Selena allowed $1$ more run than the number of strikeouts recorded.

Question 3

Zach creates a map of his neighborhood on a coordinate grid as shown below.

Which location is on the$	ext{x-axis}$ but NOT on the $	ext{y-axis}$ of Zach's map?

Accepted Answer

zoo

Answer

school

Answer

park

Answer

bank

Question 4

The locations of four buildings in a town can be shown on a coordinate grid. The ordered pairs below describe the locations of the buildings.

$\quad\bullet\enspace$ movie theater: $(4, 6)$
$\quad\bullet\enspace$ city hall: $(1, 3)$
$\quad\bullet\enspace$ post office: $(4, 1)$
$\quad\bullet\enspace$ market: $(5, 3)$

Harriet is standing closer to the market than to any of the other buildings. Which ordered pair could describe the location at which Harriet is standing?

Accepted Answer

$(4, 3)$

Answer

$(5, 1)$

Answer

$(5, 6)$

Answer

$(3, 3)$

Question 5

A garage has a rectangular floor. The four points graphed on the coordinate grid below represent the locations of the four corners of the floor.

The opening for the garage door can be represented by a line segment. Each point on the line segment has an x-coordinate of 10. The opening for the garage door lies between which corners of the floor?

Accepted Answer

$	ext J\, $and$ \, 	ext K$

Answer

$	ext H\, $and$ \, 	ext  J$

Answer

$	ext L\, $and$ \, 	ext H$

Answer

$	ext K\, $and$ \, 	ext L$

Question 6

The coordinate grid below shows the location of a school library.

The school office is located at the origin of the coordinate grid. Which describes a path that could be followed to walk from the school library to the school office?

Accepted Answer

walk 3 units west, then 9 units south

Answer

walk 2 units north, then 3 units west

Answer

walk 8 units east, then 2 units north

Answer

walk 9 units north, then 3 units east

Question 7

The graph below shows the number of cans of green paint a store had on a shelf during a 7-day period.

Based on the graph, which statement about the point graphed on the $	ext{x-axis}$ MUST be true?

Accepted Answer

There were 0 cans of green paint on the shelf on day 3.

Answer

The store sold 3 cans of green paint on day 3.

Answer

There were 8 cans of green paint on the shelf on day 8.

Answer

The store had 8 cans of green paint on the shelf at the start of the 7-day period.

Question 8

Two sides of a polygon are parallel and have the same length. Which statement about the polygon MUST be true?

Accepted Answer

The polygon has at least 4 sides

Answer

The polygon has exactly 3 sides.

Answer

The polygon has an even number of sides.

Answer

The polygon has exactly 4 sides.

Question 9

The coordinate grid below has three points plotted.

Which point could also be plotted on the grid so that the four points form the vertices of a parallelogram, but NOT a rhombus?

Accepted Answer

$(2, 1)$

Answer

$(4, 5)$

Answer

$(6, 5)$

Answer

$(2, 6)$

Question 10

Four points are plotted on the coordinate grid shown below.

Which statement about the plotted points is true?

Accepted Answer

Point $	ext S$ has $3$ as its $	ext{y-coordinate}$.

Answer

Point $	ext P$ is located at the origin.

Answer

Point $	ext Q$ has $4$ as its$	ext{ x-coordinate}$.

Answer

Point $	ext R$ is located on the $	ext{y-axis}$.

Question 11

Mason graphs point $	ext M$ on a coordinate grid to represent the number of pens $	ext (x)$ he bought and the number of dollars $	ext (y)$ he paid for the pens as shown below.

Franco will graph point $	ext F$ on the same coordinate grid to represent that he bought $3$ MORE pens than Mason and paid $$\$5$$ MORE than Mason. What ordered pair describes the location of point $	ext F$?

Accepted Answer

$	ext(5, 8)$

Answer

$	ext(8,5)$

Answer

$	ext(6,7)$

Answer

$	ext(7,6)$

Question 12

Quadrilateral $	ext{JKLM}$ is shown below.

Which statement gives the MOST specific name for quadrilateral $	ext{JKLM}$ and the reason for that name?

Accepted Answer

Quadrilateral  $	ext{JKLM}$is a rhombus because it is a parallelogram with all sides equal in
length.

Answer

Quadrilateral  $	ext{JKLM}$  is a rhombus because it is a trapezoid and contains no right angles.

Answer

Quadrilateral  $	ext{JKLM}$ is a parallelogram because it is a trapezoid with all sides equal in
length.

Answer

Quadrilateral $	ext{JKLM}$ is a parallelogram because it is a trapezoid and because both pairs
of opposite angles have equal measures.

Question 13

Point $P$ is shown on the coordinate grid below.
Which statement about point $P$ is true?

Accepted Answer

Point $P$ is on the $y$-axis and has an $x$-coordinate of 0.

Answer

Point $P$ is on the $y$-axis and has a $y$-coordinate of 0.

Answer

Point $P$ is on the $x$-axis and has an $x$-coordinate of 0.

Answer

Point $P$ is on the $x$-axis and has a $y$-coordinate of 0.

Question 14

Clayton mapped out the city park on the coordinate grid shown.
A drinking fountain is located at the point $(1, 3)$. A statue in the park is located 4 units away from the drinking fountain. Which point could be the location of the statue?

Accepted Answer

point $Z$

Answer

point $Y$

Answer

point $W$

Answer

point $X$

Question 15

Points $J$, $K$, and $L$ are shown on the coordinate grid below.
Point M will be plotted at $(6, 4)$. The four points form the vertices of a shape. Which statement describes the shape that is formed?

Accepted Answer

The shape is a rhombus, but not a square.

Answer

The shape is a parallelogram, but not a rhombus.

Answer

The shape is a parallelogram, but not a quadrilateral.

Answer

The shape is a square, but not a rectangle.

Question 16

A scientist puts stakes into the ground at the locations of the plotted points shown on the coordinate grid below.
The scientist connects the stakes with string to form a rectangle before digging for objects in the ground. The scientist finds one object inside the rectangle and one object outside the rectangle. At which two locations could the objects have been found?

Accepted Answer

$(4, 2)$ and the origin

Answer

$(3, 0)$ and the point with an $x$-coordinate of 1 and a $y$-coordinate of 5

Answer

$(3, 2)$ and the point with a $y$-coordinate of 2 and an $x$-coordinate of 5

Answer

$(2, 2)$ and $(5, 2)$

Question 17

Jabari has a quilt made from pieces of fabric that are all parallelograms. Which shape would not be found on Jabari's quilt?

Accepted Answer

https://uploads.quizalize.com/b7d0e905-d5d0-6283-4717-79a246139a42/question/e8b69d61-5972-79a3-3778-59c2a242cbd1.png

Answer

https://uploads.quizalize.com/b7d0e905-d5d0-6283-4717-79a246139a42/question/15a98669-fa03-7151-ce91-38b4594384b8.png

Answer

https://uploads.quizalize.com/b7d0e905-d5d0-6283-4717-79a246139a42/question/4e8f111a-1d41-c943-72fd-1b462a7884c4.png

Answer

https://uploads.quizalize.com/b7d0e905-d5d0-6283-4717-79a246139a42/question/338e53a7-9329-e4d8-dacf-76800bec5e90.png

Question 18

A shape is shown below.
Which statement about the shape is true?

Accepted Answer

The shape is 'not' a polygon, because it has one curved side.

Answer

The shape is a polygon because it has one straight side.

Answer

The shape is 'not' a polygon, because it is closed.

Answer

The shape is a polygon because it is closed.

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