Determining whether segments are perpendicular to each other. Attachment in Word.

Given: Segment PA is perpendicular to plane m Points A,B,C, and D lie in plane m Segment AB is congruent to segment AD Is segment BA perpendicular to segment AD?

Performing a two-column proof on whether or not two line segments are parallel to each other.

Given: Segment RW and segment SX bisect each other at point V Prove: Line RS is parallel to line XW

Proving that the interior of any proper angle is a convex set.

Prove that the interior of any proper angle is a convex set.

Proving that h meets line AD.

Assume that AC < w, A-B-C, and D is a point on AC line segment. Let h be a ray with endpoint C such that h meets BD line interior. Prove that h meets AD line.

Solving for x using multiple triangles. Question in JPG format.

Solve for x. Diagram in attachment below.