Question

solve.
4 the gray figure is a transformation of the green figure. identify the transformation and describe one way in which you could compare the properties of the lines and the angles in the original figure and its image.
5 consider the three figures on the grid.
a. how was the green figure transformed to get image a?
b. how was the green figure transformed to get image b?
6 jarrod says that the gray figure is a rotation of the green figure. imani says it is a reflection. who is correct? explain your reasoning. draw any lines of reflection or centers of rotation on the grid.

Explanation:

Step1: Identify transformation types

Transformations include translation (sliding), reflection (flipping), and rotation (turning).

Step2: Analyze question 4

One way to compare properties is to check if corresponding - side lengths and angle - measures are equal. In a rigid transformation (translation, reflection, rotation), the lengths of lines and measures of angles in the original figure and its image are congruent.

Step3: Analyze question 5a

The green figure was translated 6 units to the left and 5 units down to get Image A. A translation is a rigid transformation that moves every point of a figure the same distance in the same direction.

Step4: Analyze question 5b

The green figure was reflected to get Image B. A reflection is a transformation that flips a figure over a line of reflection.

Step5: Analyze question 6

To check if it's a rotation or reflection:

• For a rotation, we look for a center point around which the figure is turned.
• For a reflection, we look for a line of reflection. By observing the orientation of the gray and green figures, we can see that there is a vertical line of reflection that can map the green figure onto the gray figure. So Imani is correct.

Answer:

1. The transformation could be a translation, reflection, or rotation. We can compare the lengths of corresponding lines and measures of corresponding angles in the original and the image. Since it is a rigid transformation, they will be equal.
2. a. The green figure was translated 6 units to the left and 5 units down to get Image A.

b. The green figure was reflected to get Image B.

1. Imani is correct. There is a vertical line of reflection that can map the green figure onto the gray figure.