Foundations, Constructions & Geometric Reasoning

Two complementary angles measure 62° and y°. Find y. Solve, then generalize or verify with a second method.

Two supplementary angles measure 134° and y°. Find y. Solve, then generalize or verify with a second method.

Point A is at 3 and point B is at 18 on a number line. Find AB. Solve, then generalize or verify with a second method.

Find the midpoint of A(-1,-2) and B(3,7). Solve, then generalize or verify with a second method.

Point A is at 7 and point B is at 19 on a number line. Find AB. Solve, then generalize or verify with a second method.

Find the midpoint of A(0,1) and B(7,4). Solve, then generalize or verify with a second method.

What classical tools are allowed in an ideal compass-and-straightedge construction? Solve, then generalize or verify with a second method.

What locus is created by the perpendicular bisector of segment AB? Solve, then generalize or verify with a second method.

Write the converse of: If an angle is right, then it measures 90°. Solve, then generalize or verify with a second method.

Give a counterexample to: All quadrilaterals with four equal sides are squares. Solve, then generalize or verify with a second method.

Two complementary angles measure 70° and y°. Find y. Solve, then generalize or verify with a second method.

Two supplementary angles measure 137° and y°. Find y. Solve, then generalize or verify with a second method.