Consider the quadrilateral below. 23 W 112 23 Y What is the measure of angle Z?

A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two consecutive lug bolts if there are a 5 bolts? b 6 bolts?

For the triangle shown, A=30, B=45, and a=32 centimeters. Find the remaining angle and sides.

Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

If possible, draw an equilateral and concave: a triangle c pentagon

Which lines, line segments, or rays are used to construct: a The incircle of a triangle? b The circumcircle of a triangle?

Write the values of angles F-J on the preceding protractor.

If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? a. 63.2 feet b. 79.5 feet c. 83.1 feet d. 80.0 feet

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.