MSTAR Practice Worksheet

Lesson 7-7: Represent Polygons on the Coordinate Plane

Grade 6 Mathematics · Standard 6.NOS.9

Name: Date:

These are MSTAR-style questions written for this curriculum to rehearse the format. They are not official Maryland assessment items. MSTAR — Maryland's new state test, first given in spring 2027 — uses the same kinds of questions you see here: selected response, select-all, two-part evidence questions, and written responses.

Part A — Skills Check

Warm up with the lesson's core skills — one best answer each.

Question 1Selected response · 1 point

Vertices (-4.5, 3) and (5, 3) share y = 3. What is the distance between them?

A0.5 units
B1.5 units
C8 units
D9.5 units

Question 2Selected response · 1 point

Vertices (5, 3) and (5, -3.75) share x = 5. What is the distance between them?

A0.75 units
B5 units
C6.75 units
D8.75 units

Question 3Selected response · 1 point

What is the perimeter of the rectangle with side lengths 9.5 and 6.75 units?

A16.25 units
B26 units
C32.5 units
D64.125 units

Question 4Selected response · 1 point

Why are two of the terms multiplied by 2 in the perimeter calculation?

ABecause perimeter always doubles the area
BBecause there are two coordinates in each ordered pair
CIt is a rounding rule
DA rectangle's opposite sides are equal, so each length appears on two sides

Question 5Selected response · 1 point

To draw a polygon from a list of vertices, you:

APlot only the first vertex
BConnect the points in any random order
CAdd all the coordinates together
DPlot each ordered pair, then connect them in order with segments

Question 6Selected response · 1 point

The park's marked vertices are 3 units apart and each unit is 100 feet. What is the park's width?

A3 feet
B30 feet
C103 feet
D300 feet

Part B — Test-Format Questions

These match the state test's formats: two-part questions, select-all, and written responses.

Question 7Two-part question

Part A

A rectangle has vertices at (1, 1), (7, 1), (7, 5), and (1, 5). What is its perimeter?

Fill in the bubble next to the one best answer.

A10 units
B12 units
C20 units
D24 units

Part B

Answer Part A before Part B — Part B asks about your reasoning.

How can the side lengths be found from the coordinates alone?

ACount every grid square inside the rectangle.
BEach side is horizontal or vertical, so its length is the difference of the coordinates that change.
CAdd all eight coordinate values together.
DMultiply the x-coordinates by the y-coordinates.

Question 8Select all that apply

Select ALL statements that are true about polygons on the coordinate plane:

Mark the box next to EVERY answer that is true. More than one is correct.

AVertices are connected in the order given to form the polygon.
BA horizontal side's length is the absolute difference of the x-coordinates.
CA vertical side's length is the absolute difference of the y-coordinates.
DThe length of a slanted side can be found by subtracting coordinates.
EThe area of a rectangle on the grid is the product of its side lengths.

Part C — Show Your Thinking

Answer in writing, the way the state test's constructed responses work.

Question 9Written response · 2 points

The park design used width from coordinates, then length from the area, then the scale to place the missing vertices. Design your own version: pick an area and a scale, mark two vertices, and show where the other two go.

Write your answer in complete sentences. Show or explain your mathematical thinking.

Sentence starters: My area is ___ and each unit is ___ . · Width: ___ . Length: ___ ÷ ___ = ___ . · So the other vertices are at ___ .