Grade 10 · Math · Geometry

10th grade Use coordinates to check a triangle or a quadrilateral worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Use coordinates to check a triangle or a quadrilateral

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Tala draws a shape on graph paper. One side runs from D(1, 3) to F(4, 9). What is the slope of side DF?
Zee plots a shape on a grid map. One side runs from D(2, -1) to F(6, 5). What is the slope of side DF?
Ari plans a kite frame on a grid. One side runs from D(-3, 1) to F(5, 7). What is the slope of side DF?
Bo designs a quilt patch on a grid. One side runs from D(1, 6) to F(4, 0). What is the slope of side DF?
Esme plans a rug pattern on a grid. One side runs from D(-2, 3) to F(4, -1). What is the slope of side DF?
Jun designs a window pane on a grid. One side runs from D(0, 5) to F(5, 1). What is the slope of side DF?
7.
Kira plans a tabletop on a grid. Side DF has slope 3, and side FG has slope -3. Are the sides parallel, perpendicular or neither?
- parallel
- neither
- perpendicular
8.
Milo draws a shape on graph paper. Side DF has slope 2/3, and side FG has slope 3/2. Are the sides parallel, perpendicular or neither?
- neither
- perpendicular
- parallel
9.
Noah plots a shape on a grid map. Side DF has slope -5/2, and side FG has slope -2/5. Are the sides parallel, perpendicular or neither?
- neither
- parallel
- perpendicular
10.
Pia plans a kite frame on a grid. Side DF has slope 2, and side FG has slope -1/2. Are the sides parallel, perpendicular or neither?
- neither
- perpendicular
- parallel

Use coordinates to check a triangle or a quadrilateral. Every version has 10 questions, and the answer key prints on the second page.

I can find a side's slope and tell parallel, perpendicular or neither.
I can name a quadrilateral from its corners and tell whether an angle is a right angle.
I can find a fourth corner, a centroid, and check two triangles for SSS.

Standard: G-GPE.B.4, G-GPE.B.5, G-CO.B.8 (related)

slope: Rise over run of a side's right triangle.

perpendicular slopes: Slopes that multiply to -1, like 2 and -1/2.

rhombus, rectangle, square: Four equal sides; four right angles; both.

centroid: The balance point of a triangle: the average of its three corners.

SSS: Three pairs of equal sides make congruent triangles.

Your child put the run over the rise.

Your child dropped the minus sign of a falling side.

Your child thought slopes like 3 and -3 make a right angle.

Ask: which change goes on top of a slope?

Ask: does the side go up or down as you move right?

Ask: what is 3 × -3?

What is the most common mistake with use coordinates to check a triangle or a quadrilateral?

Your child put the run over the rise.

How can I help my child with use coordinates to check a triangle or a quadrilateral?

Ask: which change goes on top of a slope?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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