Question

1. how does a dilation affect the size of a figure?

a. it reverses
b. it becomes infinite
c. it remains the same
d. it changes

1. what is the definition of a polygon?

a. a part of a line that starts at a fixed point and extends infinitely in one direction
b. a flat, two - dimensional surface that extends infinitely in all directions
c. a two - dimensional, closed figure with straight sides
d. a straight, one - dimensional figure composed of an infinite number of points

1. what is the new location of the point (2, 3) after translating 4 units right and 5 units up?

a. (-6, 8)
b. (6, 3)
c. (6, 8)
d. (2, 8)

1. in a geometric transformation, which of the following would be considered a rigid motion?

a. dilation
b. reflection
c. shearing
d. scaling

1. a shape can be rotated to look the same at two different positions during a 360 - degree turn. what is this called?

a. cyclical symmetry
b. translational symmetry

Explanation:

1. Dilation is a transformation that changes the size of a figure by a scale factor.
2. A polygon is defined as a two - dimensional, closed figure with straight sides.
3. When translating a point (x,y) right by h units and up by k units, the new point is (x + h,y + k). For the point (2,3) translated 4 units right and 5 units up, x=2, h = 4, y = 3, k = 5. So the new x - coordinate is 2+4=6 and the new y - coordinate is 3 + 5=8.
4. Rigid motions preserve distance and angle measures. Reflection is a rigid motion while dilation, shearing, and scaling change the size or shape in some way.
5. When a shape can be rotated to look the same at two different positions during a 360 - degree turn, it has rotational symmetry.

Answer:

1. d. It changes
2. c. A two - dimensional, closed figure with straight sides
3. c. (6,8)
4. b. Reflection
5. None of the options provided are correct. The correct term is rotational symmetry.