Question

1. identify the transformation(s) that has taken place.
2. translation: 1 unit left and 2 units up
3. translation: 3 units down
4. rotational symmetry is:

a when a figure can be rotated less than 360° about a point inside the figure and fit exactly on itself.
b an image that can be slid a fixed distance in opposite directions to obtain the same pattern.
c divides a figure into two mirror images. the line that divides the figure is called the line of symmetry.
d a line created to divide a shape in half to see if it creates an identical figure.

1. what type of symmetry does the following picture represent?

a translational symmetry
b rotational symmetry
c reflection symmetry
d all of the above

Explanation:

Step1: Analyze question 10a

By observing the orientation and position change of the triangle, it is a rotation.

Step2: Analyze question 10b

The two - triangles are mirror - images of each other across a vertical line, so it is a reflection.

Step3: Analyze question 10c

The figure has changed in both orientation and position. It is a combination of rotation and translation.

Step4: Analyze question 11

For the translation 1 unit left and 2 units up, we subtract 1 from the x - coordinates and add 2 to the y - coordinates of the vertices of the original triangle.

Step5: Analyze question 12

For the translation 3 units down, we subtract 3 from the y - coordinates of the vertices of the original triangle.

Step6: Analyze question 13

The definition of rotational symmetry is when a figure can be rotated less than 360° about a point inside the figure and fit exactly on itself, so the answer is A.

Step7: Analyze question 14

A butterfly has a line of symmetry that divides it into two mirror - images, so it has reflection symmetry. The answer is C.

Answer:

10a. Rotation
10b. Reflection
10c. Rotation and translation

1. Translate vertices: subtract 1 from x - coordinates and add 2 to y - coordinates
2. Translate vertices: subtract 3 from y - coordinates
3. A. when a figure can be rotated less than 360° about a point inside the figure and fit exactly on itself.
4. C. Reflection Symmetry