Question

5 abcde is a regular pentagon with the center f. 1) rotate the figure 100 degrees clockwise around f. draw line ab after the rotation. 2) the figure is reflected over the side cd. draw image of side ab after the reflection.

Explanation:

Step1: Understand rotation concept

For a 100 - degree clock - wise rotation around point F, we use the property of rotation in geometry. Each point of the pentagon (including points A and B) will be rotated 100 degrees clockwise around F. To draw the new line AB, we first find the new positions of A and B after rotation. We measure 100 degrees clockwise from the lines connecting F to A and F to B respectively and mark the new points A' and B'. Then we draw the line segment A'B'.

Step2: Understand reflection concept

For reflection over the line CD, we use the property of reflection in geometry. For each point on line AB, we find its perpendicular distance to the line CD. Then we mark a point on the other side of CD at the same perpendicular distance. Let's say for point A, we find its perpendicular from A to CD, measure the distance, and mark A'' on the other side of CD at the same distance. Similarly for point B, we get B''. Then we draw the line segment A''B''.

Answer:

The new line AB after 100 - degree clockwise rotation around F and the new line AB after reflection over CD should be drawn as described in the above steps. (Note: This is a drawing - based problem, and the actual drawing cannot be presented in text format, but the steps to draw are provided).