Task Sets: Draw polygons in the coordinate plane given coordinates for the vertices - Common Core Math - Grade 6

Recall / Warm-Up

In which quadrant does the point $(-3, 5)$ lie?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

What is $|-7 - 3|$ ?

-10

-4

Two points lie on the same horizontal line: $A(-4, 2)$ and $B(5, 2)$ . What is the distance between them?

Fluency Practice

$Coordinate plane showing rectangle with vertices A(-3,2), B(4,2), C(4,-1), D(-3,-1) plotted and connected.$

Vertices $A(−3, 2)$ , $B(4, 2)$ , $C(4, −1)$ , $D(−3, −1)$ form a rectangle.
Vertex $A$ is in Quadrant ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
Vertex $C$ is in Quadrant ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
Side $AB$ is a ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ segment (horizontal or vertical).
Side $BC$ is a ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ segment.

quadrant of A:

quadrant of C:

type of AB:

type of BC:

A right triangle has vertices at $P(-2, 4)$ , $Q(-2, -3)$ , and $R(5, -3)$ . Which sides can have their length found using the absolute value of coordinate differences?

Only side PQ

Only side QR

Sides PQ and QR only

All three sides

$Coordinate plane showing vertical segment PQ with P at (-2, 4) and Q at (-2, -3), with unknown length marked.$

Find the length of segment $PQ$ with $P(-2, 4)$ and $Q(-2, -3)$ .

Find the length of segment $QR$ with $Q(-2, -3)$ and $R(5, -3)$ .

What is the length of the side connecting $M(2, 5)$ and $N(6, 2)$ ? (Use only Grade 6 methods.)

4 units (use $|x_M - x_N|$ )

3 units (use $|y_M - y_N|$ )

7 units (add $|x_M - x_N| + |y_M - y_N|$ )

The length cannot be found using the absolute value method — the segment is diagonal.

Draw Polygons in the Coordinate Plane Given Coordinates for the Vertices

Recall / Warm-Up

Fluency Practice