Use coordinates to check a triangle or a quadrilateral

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

2. 1.

   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?

   (3, 4)
3. 2.

   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.

   (0, 3)
4. 3.

   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.

   (-1, 1)
5. 4.

   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.

   (0, 5)
7. 5.

   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)?

   (3, 1)
8. 6.

   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.

   (1, 1)
9. 7.

   Luz wants to balance a triangle cut from card on one fingertip. Its corners are D(-6, -2), F(0, 4) and G(3, -5). Where is the balance point (the centroid)?

   Use the picture in question 5.

   (-1, -1)
11. 8.

    Milo draws a shape on graph paper: triangle DFG with D(0, 0), F(3, 0), G(0, 4), and triangle QSU with Q(5, 1), S(5, 4), U(9, 1). Are they congruent?

    • No: the triangles face different ways.
    • Yes: all three pairs of sides are equal (SSS).
    • No: they are in different places on the grid.
12. 9.

    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?

    Use the picture in question 8.

    • No: the triangles face different ways.
    • No: they are in different places on the grid.
    • Yes: all three pairs of sides are equal (SSS).
13. 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.

    • No: the third sides are √50 and √20.
    • Yes: both triangles have a side of 4 or 5.
    • Yes: two pairs of sides are equal.