translations
What is the new coordinate of point (2,3) after a translation 4 units right and 2 units down?
(6,1)
What is the reflection of the point (4, -5) over the x-axis?
(4,5)
Rotating a point 90° clockwise around the origin is the same as rotating it how many degrees counter-clockwise?
270°
A dilation with a scale factor of k = 3 is applied to the point (2, 4) with the origin as the center. What is the new point?
(6,12)
Which of the four transformations (Translation, Reflection, Rotation, Dilation) does not preserve congruence?
Dilation
Write the algebraic rule for a translation that moves a figure 5 units left and 7 units up.
(x-5, y+7)
If point B (2, 8) is reflected over the y-axis, what are the coordinates of B'?
(-2,8)
What is the image of (3, 5) after a 180° rotation about the origin?
(-3, -5)
Does a scale factor of k=1/2 result in an enlargement or a reduction?
Reduction
Is a 180° rotation a "rigid motion"?
Point A' is at (-1, 4) after a translation of (x+3, y-2). What were the coordinates of the original point A?
(-4,6)
Point C (3, 7) is reflected over the line y = x. What are its new coordinates?
(7,3)
A point (x, y) is rotated 90° counter-clockwise about the origin. What is the algebraic rule for this transformation?
(-y, x)
If point D (10, -5) is dilated to D' (2, -1) with the center at the origin, what is the scale factor?
k= 1/5 or 0.2
Describe the sequence of transformations: (x, y)> (x+2, y) > (-x-2, y)
Translation 2 units right, then reflection over the y-axis
If a triangle with vertices (0,0), (2,0), and (0,3) is translated using the rule (x+1, y-4), what are the new vertices?
((1,-4), (3,-4), and (1,-1))
A figure is reflected over the x-axis and then the y-axis. This sequence of reflections is equivalent to what single rotation about the origin?
180°
What are the coordinates of point (2, -4) after a 90° clockwise rotation about the origin?
(-4, -2)
A triangle has an area of 10 square units. If it is dilated by a scale factor of k = 3, what is the area of the new triangle?
90 square units
If a figure is reflected over two parallel lines, the resulting transformation is equivalent to a single ________
Translation
A square is translated twice: first by (x+2, y-1) and then by (x-5, y+3). What is the single rule that describes this combined translation?
(x-3, y+2)
What is the coordinate of point (-2, 4) after a reflection over the line x = 1?
(4,4)
If point (1, 2) is rotated 90° counter-clockwise around the point (3, 3), what is its new location?
(4, 1)
Dilate the point (4, 6) by a scale factor of k = 2 using the center (1, 1).
(7,11)
Point (1, 1) is reflected over the x-axis and then dilated by k = 4 (center at origin). What is the final coordinate?
(4,-4)