Translations
Dilations
Rotations
Reflections
Combinations
100
There is a line segment AB where point A is at (3,-2) and point B is at (-2,6). Translate it by a vector <3,-1>. What are the new coordinates of my line segment?
A' (6,-3) B' (1,5)
100
If a rectangle has side lengths of 6 cm and 12 cm, and you dilated it by a scale factor of 3, how long would each side length be?
18 cm and 36 cm.
100
When you rotate a the point (-8,4) counterclockwise 180 degrees, where does it end up?
(8,-4)
100
Determine the coordinates of L(–2, 4) after a reflection in the line y = 4.
L' (10,4)
100
∆TUV: T(–3, 3), U(0, 1), V(–1, 0)
Translation: along 〈2, 1〉
Reflection: in x-axis
T'(-1,-4) U'(2,-2) V'(1,-1)
200
Determine if this graph shows a translation. If it is, what is the vector?
Parallelogram R’S’T’U’ is a translation of parallelogram RSTU. This translation vector can be represented as <2, –5>
200
If a triangle has coordinates A (2,1) B (4,-4) and C (5,-2) dilate the triangle about the origin by a scale factor of 1/2 and state the new coordinates.
A' (1,0.5) B' (2, -2) C' (2.5,-1)
200
Triangle ABC has vertices A(–3, 1), B(–2, 3) and C(–1, 1). Graph ∆ABC and its image after a rotation of 90° counterclockwise about the point (0,1).
A'(0,-2) B'(-2,-1) C' (0,0)
200
trapezoid ABCD in the line y = x
A' (1,-4) B' (4,-3) C' (4,-1) D' (0,1)
200
When Gru steals the moon, what type of transformation is it? Be specific
Dilation/Reduction
300
There are four trees are plotted on a coordinate plane as points P(–4, 1), Q(–2, 3), R(0, 1), and S(–2, –1). According to the new plot on the coordinate plane, represented by P’, Q’, R’, S’, determine the translation vector for the new locations of the trees.
<4, 2>
300
Dilate this shape by a scale factor of 2 with a Center of Dilation at (-1,3)
Points A(1,2) B(3,2) C(1,4) D(3,4)
A (3,1) B (7,1) C (3,5) D (7, 5)
300
Plans for a new home do not take advantage of the view of the valley below. The owners want to rotate the house before it is built so that the valley can be seen from the new porch. The corners of the proposed house are represented by points A, B, C, and D. If they rotate the house 270° clockwise about the point (–1, 2), what will be the coordinates of the new house location?
A’(–1, –1), B’(–1, 4), C’(3, –1), D’(3, 4)
300
Veronica is making two scarves. The scarves will be square. She graphs the first scarf with vertices at P(–2, 4), Q(4, 4), R(–2, –2), and S(4, –2). She will graph the second reflected in the line x = –3. Find the coordinates of the image of the second scarf.
P' (-4,4) Q' (-10,4) R' (-4,-2) S' (-10, -2)
300
What 2 types of transformation does this image show?
Dilation, reflection