Ch. 3 Review Questions.

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Presentation transcript:

Ch. 3 Review Questions

Complete the Statement: If a transversal is __________ to one of two parallel lines, then it is perpendicular to the other one

Complete the Statement: The measure of the ______________ of a triangle equals the sum of the measures of the two remote interior angles.

Five of the angles of a convex hexagon have measures 112, 100, 90, 160, and 115. Find the measure of the sixth angle.

Find the number of diagonals in a polygon with 20 sides

The measure of one interior angle of a regular polygon is 170 The measure of one interior angle of a regular polygon is 170. Find the number of sides.

Always, Sometimes, Never Two lines that do not intersect are _____ parallel.

BONUS!! Find the values of x and y:

True or False: In a triangle there can be at most one right angle and one obtuse angle.

Complete the Statement: BONUS!! Complete the Statement: If each exterior angle of a polygon has measure 15, then the polygon has _____ sides.

Find the values of x and y:

True or False: The acute angles of a right triangle are complementary.

BONUS!! The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. Find the measure of three angles.

Find the measure of angle 5: Given: and and mABC = 150

Find the measure of angle 1: Given: and and mABC = 150

Find the sum of the measures of the interior angles of a polygon with 7 sides. BONUS!!

Always, Sometimes, Never If ∆𝐴𝐸𝐹 is equiangular, then 𝑚∠𝐸 is _____ 40.

If x, 2x, and 3x are the measures of the angles of a triangle, find the value of x

Complete the Statement: BONUS!! Complete the Statement: The sum of the measures of the interior angles of a octagon is _____.

What kind of triangle is ABC ? 4 8 9 8 B E G 17 8 4 D C 15

What kind of triangle is ACD ? 4 8 9 8 B E G 17 8 4 D C 15

What kind of triangle is ADB ? 4 8 9 8 B E G 17 8 4 D C 15

What kind of triangle is FGD ? 4 8 9 8 B E G 17 8 4 D C 15

What kind of triangle is BCD ? 4 8 9 8 B E G 17 8 4 D C 15

Find the measure of one exterior angle of a regular polygon with 15 sides.

What is the same side interior angle to 5?

Always, Sometimes, Never If two parallel lines are cut by a transversal, then the alternate interior angles are _____ supplementary.

Use inductive reasoning to predict the next two numbers of the following sequence: -1, 2, -4, 8, -16, 32, ….

Parallel lines are always coplanar True or False: Parallel lines are always coplanar

Complete the Statement: The sum of the measures of the exterior angles in a pentagon is _____.