Grade 10 · Math · Geometry

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 - Challenge Me

NameDate

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

Tala draws a shape on graph paper. DFGH is a parallelogram with D(1, 1), F(4, 2) and G(6, 5). Where is H?
Zee plots a shape on a grid map. DFGH is a parallelogram with D(-2, 0), F(3, 1) and G(5, 4). Where is H?
Use the picture in question 1.
Ari plans a kite frame on a grid. DFGH is a parallelogram with D(0, -3), F(4, -1) and G(3, 3). Where is H?
Use the picture in question 1.
Bo designs a quilt patch on a grid. DFGH is a parallelogram with D(-4, 2), F(-1, -2) and G(3, 1). Where is H?
Use the picture in question 1.
Esme wants to balance a triangle cut from card on one fingertip. Its corners are D(0, 0), F(6, 3) and G(3, 9). Where is the balance point (the centroid)?
Jun wants to balance a triangle cut from card on one fingertip. Its corners are D(-2, 1), F(4, -3) and G(7, 5). Where is the balance point (the centroid)?
Use the picture in question 5.
Kira wants to balance a triangle cut from card on one fingertip. Its corners are D(1, -4), F(5, 2) and G(-3, 5). Where is the balance point (the centroid)?
Use the picture in question 5.
8.
Noah plots a shape on a grid map: triangle DFG with D(1, 1), F(4, 2), G(2, 4), and triangle QSU with Q(9, 1), S(6, 2), U(8, 4). Are they congruent?
- Yes: all three pairs of sides are equal (SSS).
- No: the triangles face different ways.
- No: they are in different places on the grid.
9.
Pia plans a kite frame on a grid: triangle DFG with D(0, 0), F(4, 0), G(3, 4), and triangle QSU with Q(6, 0), S(10, 0), U(10, 3). Are they congruent?
Use the picture in question 8.
- Yes: both triangles have a side of 4 or 5.
- Yes: two pairs of sides are equal.
- No: the third sides are √17 and 3.
10.
Ren designs a quilt patch on a grid: triangle DFG with D(0, 0), F(5, 0), G(0, 5), and triangle QSU with Q(6, 0), S(11, 0), U(9, 4). Are they congruent?
Use the picture in question 8.
- Yes: both triangles have a side of 4 or 5.
- No: the third sides are √50 and √20.
- Yes: two pairs of sides are equal.

10th grade Use coordinates to check a triangle or a quadrilateral worksheet – printable — Print: 1 2 3 4 5 6

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

See all Geometry

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