6th Grade Math Textbook, Progress

Graph each triangle and its reflection across the indicated axis.

Use prime notation to write the coordinates of its reflection.

10. Q(
    2,
    2), R(
    4,
    5), S(
    6,
    2); 11. M(4,
    5), N(7,
    3), P(2,
    3);
    x-axis y-axis

Graph each point and its translation on the same coordinate grid.

Use prime notation to write the coordinates of its translation.

12. A(
    5,
    4) left 3 units, up 2 units 13. B(3,
    1) right 6 units, down 4 units


13. C(
    7, 10) left 5 units, down 5 units 15. D(9, 2) right 2 units, up 2 units


14. E(5,
    2), F(2,
    1), G(6, 1), 17. X(1,3), Y(2,
    2), Z(
    2, 0),
    up 3 units left 3 units, up 1 unit

Graph each figure and its image on the same coordinate grid.

Then tell whether the transformation is a reflectionor a translation.

18. J(3, 0), K(0,
    3), L(
    3, 0), M(0, 3) 19. U(
    2,
    2), V(
    2,
    6), W(
    7,
    6), X(
    9,
    2)
    J′(2, 2), K′(
    1,
    1), L′(
    4, 2), U′(
    2, 2), V′(
    2, 6), W′(
    7, 6),
    M′(
    1, 5) X′(
    9, 2)

Translate P(
2, 
3) right 3 units

and up 4 units. What are the

coordinates of the image P′?

The coordinates of P′are (
5, 
7). A(
1, 
7), B(
5, 
7), C(
3, 
10)

A′(
1, 
1), B′(
5, 
1), C′(
3, 
4)

Translate 
ABCdown 6 units. Use

prime notation to write the translation.

Translate each

vertex 6 units

down. Label

the new

vertices A′, B′,

and C′.

Connect the

points.

Count 3 units

right from P

and 4 units

up. Graph

point P′.

Graph Translations

A translation is a transformation that moves every point of a figure the same

distance and in the same direction. You can translate a figure on a coordinate

plane by sliding it horizontally, vertically, or both.

8206-2_506-507 3/23/06 4:46 AM Page 507