Exam 16: Polygons

How are the diagonals of every rectangle related? I. The diagonals are the same length. II. The diagonals are perpendicular. III. The diagonals bisect the angles of the rectangle.

Why is a result from inductive reasoning NOT completely trustworthy?

For each shape, sketch an example if it is possible. (Be sure to mark your picture to fit.) If it is impossible, say so and explain why or show a counterexample. A) a parallelogram with exactly one right angle B) an isosceles right triangle C) a rectangle that is not a parallelogram D) an equilateral quadrilateral that is not regular E) a concave hexagon

Find the measure of angle A of the triangle.

What is the BEST name for every four-sided polygon with equal sides?

Put the following terms in the blanks below to show the relationship among them: isosceles trapezoid, parallelogram, quadrilateral, rectangle, and rhombus.

A student states that a square cannot be a rhombus. What irrelevant characteristic(s) might she be assuming to be important? How would you help her to understand her error?

Every rhombus is a parallelogram.

What is the measure of one interior angle of a regular 18-gon?

Give the best name for the following shapes. A) a regular quadrilateral B) an isosceles trapezoid with at least one right angle

Indicate whether each statement is always true, sometimes true, or never true. Justify your choice. A) A parallelogram is an isosceles trapezoid. B) A square is a rhombus. C) A scalene triangle is an acute triangle.

Find the number of degrees in each lettered angle.

Is it possible for the sum of the angles of a polygon to be 180,000°? Explain.

Any fact that is true for every rectangle is also true for every quadrilateral.

Any fact that is true for every parallelogram is also true for every square.