What is the name for a transformation that slides a figure without turning it?
What is the rule for translating a point 4 units to the right and 3 units up?
(x, y) --> (x + 4, y + 3)
What is the rule for reflecting a point across the x-axis?
(x, y) --> (x, -y)
What is the rule for rotating a point 90 degrees CCW about the origin?
(x, y) --> (-y, x)
What is the sum of the interior angles of a triangle?
180 degrees
What is the name for a transformation that flips a figure across a line?
Reflection
What is the rule for translating a point 5 units down and 2 units right?
(x, y) --> (x + 2, y - 5)
What is the rule for reflecting a point across the line y = x?
(x, y) --> (y, x)
Wha is the rule for rotating a point 180 degrees about the origin?
(x, y) --> (-x, -y)
A triangle has two angles measuring 40 degrees and 75 degrees. What is the measure of the third angle?
65 degrees
Which transformation always preserves both size and orientation?
Translation
Translate point B(-3, -1) left 2 units and down 5 units. What are the coordinates of B'?
(-5, -6)
Reflect point C(4, 2) across the x-axis. What are the new coordinates?
(4, -2)
Rotate point E(2, 3) 90 degrees CCW about the origin. What are the new coordinates?
(-3, 2)
58 degrees
What word describes two figures that have the same size and shape?
Congruent
Triangle XYZ has vertices X(0, 1), Y(1, 3), Z(3, 0). Translate it 3 units right. Give the new coordinates.
X'(3, 1), Y'(4, 3), Z'(6, 0)
Reflect point D(-5, -3) across the y-axis. What are the new coordinates?
(5, -3)
Rotate triangle R(1,1), S(2, 3), T(4, 2) 90 degrees CW about the origin. Give the new coordinates.
R'(1, -1), S'(3, -2), T'(2, -4)
70 degrees
What do we call the transformation that preserves distance between two points and angle measure, but may change orientation?
Rigid transformation
Quadrilateral M(1, 2), N(3, 2), O(3, 5), P(1, 5) is translated 2 units left and 4 units down. Give the new coordinates.
M'(-1, -2), N'(1, -2), O'(1, 1), P'(-1, 1)
Reflect triangle P(1, 2), Q(3, 2), R(2, 5) across the line y = -x. What are the new coordinates of triangle P'Q'R'?
P'(-2, -1), Q'(-2, -3), R'(-5, -2)
(-5, 2)
A triangle has one angle measuring 45 degrees. One of the exterior angles of the triangle measures 150 degrees. What is the measure of the other non-adjacent interior angle?
105 degrees