Name the pair of alternate interior angles you highlighted.

1. R R R R X X X X S S S S Y Y Y Y Z Z Z Z V V V V T T T T W W W W Study Guide for Syllabus Three Exam on ___________ Name: Highlight the interiors of two angles that form a pair of vertical angles. Highlight the interiors of two angles that form a linear pair. Highlight the interiors of two angles that are complementary R X Q U Y V T Name the pair of vertical angles you highlighted. Name the linear pair you highlighted. Name the pair of complementary angles you highlighted. What can you assume about the measures of vertical angles? What can you assume about the measures of a linear pair? What can you assume about the measures of complementary angles? Highlight the interiors of two angles that are alternate interior angles. Highlight the interiors of two angles that are corresponding angles Highlight the interiors of two angles that are alternate exterior angles. R S Y T U Z V W Name the pair of alternate interior angles you highlighted. Name the pair of corresponding angles you highlighted. Name the pair of alternate exterior angles you highlighted. What can you assume about the measures a pair of alternate exterior angles of parallel lines? What can you assume about the measures a pair of alternate interior angles of parallel lines? What can you assume about the measures a pair of corresponding of parallel lines?

2. ( E E E E E E E E E 65 65 65 65 65 65 65 65 65 A A A A A A A A A 85 85 85 85 85 85 85 85 85 3” 3” 3” 3” 3” 3” 3” 3” 3” Y . Y . Y . Y . Y . Y . Y . Y . Y . O O O O O O O O O In each figure below, Y is the center of the circle, mEYI = 85, m AE = 65 & YI = 3” Highlight the circumference & give the formula for circumference Highlight the diameter. Highlight any radius. I I I Name the diameter you highlighted. Name the radius you highlighted. Find the exact circumference Highlight any central angle Highlight the inscribed angle Highlight the circumference I I I Give the measure of your central angle Give the measure of the inscribed angle Find the circumference to the nearest tenth. Highlight any minor arc Highlight any major arc Highlight a semicircle. I I I Give the measure of your minor arc Give the measure of your major arc Give the measure of your semicircle Find the length of your minor arc Find the length of your major arc Find the length of your semicircle

3. Identifying Types of Angles V 45º T 45º W S R 43º 137º Q P Z Y X List all of the angle measures . Then classify each. m XQR = m XQP = m PQR = m QRP = m VRS = m QRY = m YRZ = m QRV = m SRV = m QRT = m SRY = m VRZ = m TYR = Is WX || TY? Justify your answer

4. Study Guide for Syllabus Three Exam Name: Label the diagram below (this diagram is not drawn to scale) BA is in the interior DBC m DBC = 78 m ABC = 3x m DBA = 10 + x Now write an equation for this situation. Solve the equation & find the measure of each angle. Now write an equation for this situation. Solve the equation & find the measure of each angle. Label the diagram below (this diagram is not drawn to scale) PN is the angle bisector of KPM m KPN = 78 + x m NPM = 3x - 20

5. Study Guide for Syllabus Three Exam Name: Draw a diagram for each situation below. Set up an equation for each situation, solve the equation and find each angle measure. (Remember your drawings were not to scale) I. ABC & CBD II. EFG & FGH III. IJK & LJM form a linear pair are complementaryare vertical angles mABC = 4x + 18 m EFG = 3x + 18 m IJK = 12x - 180 m CBD = 5x m FGH = 6x - 9 m LJM = 3x + 18