1
What is the result of translating a point (3, -2) by the vector (5, 4)?
2
A triangle is translated 7 units right and 3 units up. Which new coordinates correspond to a vertex originally at (1, 2)?
3
Translation preserves which of the following properties of a figure?
4
If a shape is translated by vector (0, -6), what happens to its y-coordinates?
5
Which of these best defines translation in geometry?
6
A point A(4, -3) translated by vector (-2, 5). What is A' coordinates?
7
Which vector represents translating a point from (0,0) to (3,7)?
8
A square at coordinates with bottom-left corner at (2,2) is translated by (5,0). New bottom-left corner is at?
9
True or False: Translation changes the orientation of a figure.
10
If every vertex of a polygon is translated by vector (0, 0), the image is:
11
Which transformation moves every point the same distance in the same direction?
12
A shape is flipped over a line to produce a mirror image. What is this transformation called?
13
If a triangle is turned around a fixed point without changing size, what transformation occurred?
14
What transformation changes size but not shape, keeping the same center?
15
If a square is moved 5 units right, which transformation is this?
16
A figure is enlarged about a fixed center. What is this transformation?
17
What operation preserves shape and size but changes position?
18
If a shape is reflected across the x-axis, what happens to its orientation?
19
Which combination of transformations keeps size the same but may reposition?
20
A hexagon is rotated 90 degrees about the origin. What type of transformation is this?
Feedback
Adds the vector components: 3+5=8 and -2+4=2.
x+7 and y+3 gives (1+7, 2+3) = (8,5).
Translations preserve congruence, i.e., shape and size remain unchanged.
Translation by (0, -6) moves every point down by 6.
Translation is a slide, no rotation or reflection.
Subtract 2 from x and add 5 to y: 4-2=2, -3+5=2.
Translation uses the movement vector, here (3,7).
Shift right by 5 in x: 2+5=7.
Translations preserve orientation; no rotation occurs.
Zero translation leaves every point unchanged.
Translation shifts every point equally without changing orientation.
A mirror image across a line is a reflection.
Turning around a point is rotation.
Dilation scales size relative to a center.
Moving without rotation or resizing is translation.
Enlargement about a center is dilation.
Rigid motions preserve size and shape.
Reflection flips across a line, altering orientation.
Translations and rotations are isometries maintaining size.
Rotating a shape around a point is a rotation.
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