Graph each triangle and its reflection across the indicated axis.
Use prime notation to write the coordinates of its reflection.
- 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.
- A(5, 4) left 3 units, up 2 units 13. B(3, 1) right 6 units, down 4 units
- C(7, 10) left 5 units, down 5 units 15. D(9, 2) right 2 units, up 2 units
- 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.
- 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.
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