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

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Use coordinates to check a triangle or a quadrilateral

Grade 10 Math Worksheet

NameDate

Circle the best answer.

  1. Tala plans a rug pattern on a grid: D(0, 0), F(3, 4), G(8, 4) and H(5, 0). Opposite sides are parallel. Which name fits it best?

    • square
    • rectangle
    • parallelogram
    • rhombus

  2. Zee designs a window pane on a grid: D(1, 1), F(3, 5), G(5, 1) and H(3, -3). Opposite sides are parallel. Which name fits it best?

    • parallelogram
    • square
    • rectangle
    • rhombus

  3. Ari plans a tabletop on a grid: D(0, 2), F(4, 0), G(7, 6) and H(3, 8). Opposite sides are parallel. Which name fits it best?

    • square
    • parallelogram
    • rhombus
    • rectangle

  4. Bo draws the top of a box on a grid: D(1, 1), F(7, 4), G(5, 8) and H(-1, 5). Opposite sides are parallel. Which name fits it best?

    • rhombus
    • square
    • parallelogram
    • rectangle

  5. Esme draws a shape on graph paper: D(1, 0), F(4, 2), G(2, 5) and H(-1, 3). Opposite sides are parallel. Which name fits it best?

    • square
    • rhombus
    • rectangle
    • parallelogram

  7. Kira plans a kite frame on a grid: D(4, 5), F(2, 1) and G(4, 0). Is the angle at F a right angle?

    • No: the sides FD and FG have different lengths.
    • Yes: the slopes 2 and -1/2 multiply to -1.
    • No: the two slopes are not equal.

  8. Luz designs a quilt patch on a grid: D(2, 5), F(-1, 2) and G(1, 0). Is the angle at F a right angle?

    Use the picture in question 6.

    • No: the sides FD and FG have different lengths.
    • No: the two slopes are not equal.
    • Yes: the slopes 1 and -1 multiply to -1.

  9. Noah designs a window pane on a grid: D(-1, 6), F(-2, 3) and G(0, -3). Is the angle at F a right angle?

    Use the picture in question 6.

    • No: the slopes 3 and -3 multiply to -9, not -1.
    • Yes: the triangle looks like it has a square corner.
    • Yes: the slopes 3 and -3 are opposites.

  10. Pia plans a tabletop on a grid: D(3, 8), F(1, 2) and G(7, 4). Is the angle at F a right angle?

    Use the picture in question 6.

    • No: the slopes 3 and 1/3 multiply to 1, not -1.
    • Yes: the slope 1/3 is 3 flipped.
    • Yes: the triangle looks like it has a square corner.

  11. Ren draws the top of a box on a grid: D(2, 3), F(0, -1) and G(4, 1). Is the angle at F a right angle?

    Use the picture in question 6.

    • Yes: the triangle looks like it has a square corner.
    • No: the slopes 2 and 1/2 multiply to 1, not -1.
    • Yes: the slope 1/2 is 2 flipped.
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10th grade Use coordinates to check a triangle or a quadrilateral worksheet – printable
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About this worksheet

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

What your child will learn

  • 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)

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

More geometry

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