Question

use the images and pre - images of the insects on the grids shown to answer the problems. you may sketch on the grids to show attributes of the transformation to assist yourself in the work.

1. name the single transformation that can be used to carry the pre - image to the image for each pair of insects.
2. consider the connection between corresponding points for each of the transformations, to visualize the pathway the points might follow between image and pre - image, which of the following statements are true and which are false. draw a sketch to accompany your response.

a. in a reflection, pairs of corresponding points lie on parallel lines. true or false?

Explanation:

Step1: Analyze part a

The pre - image and image of the ant in part a are related by a translation. The ant moves 4 units to the left.

Step2: Analyze part b

The pre - image and image of the insect in part b are related by a reflection across the y - axis. The orientation of the insect is reversed with respect to the y - axis.

Step3: Analyze part c

The pre - image and image of the ladybug in part c are related by a rotation of 180 degrees about the origin. The orientation of the ladybug is flipped by half - turn.

Step4: Analyze part 8a

In a reflection, pairs of corresponding points are equidistant from the line of reflection and the line segment joining them is perpendicular to the line of reflection, not parallel. So the statement "In a reflection, pairs of corresponding points lie on parallel lines" is false.

Answer:

7.
a. Translation
b. Reflection across the y - axis
c. Rotation of 180 degrees about the origin
8.
a. False