Construction Problem Assessment Section 2

Straightedge and Compass on paper – problems 6 and 7

Problem 6: Dividing a segment.

With straightedge and compass, construct a point P on segment MN so that MP/PN = sqrt(2). Use labeling or words to make clear your method.

Problem 7: Composition of Rotations

In this figure, let S be the rotation with center A that rotates ray e to ray f. Let T be the rotation with center B that rotates ray g to ray h.

Construct with straightedge and compass the center C of the rotation TS and the angle of rotation.