1. Name three points in the diagram that are collinear. not 2. If = 44 and = 68, find RS QS QR. 3. and are collinear. is between and R, S, T S R T. RS = 2w + 1, = 1, and = 18. Use the ST w – RT Segment Addition Postulate to solve for Then w. determine the length of Complete the conditional statement to make a true statement. 4. If = 19 and = 32, find the length of AB AC 10. If and are complementary and °, then Fill in the correct word(s) to make the statement 11. If and are supplementary and °, then ________. true. 12. Solve for 5. Mathematical statements that are assumed to be x: true are called ______. 13. form a linear pair. °. Find . = 7x 13, = 4x + 26, is the midpoint of . BC AB B – 14. 6. Find and in the situation shown above. AB BC Name a pair of vertical angles in the figure above. 15. 7. = ()° and = ()° and = 65°. mJHI mGHI mJHG Name an angle supplementary to in the figure Find and mJHI mGHI. above. 16. Complete the statement. A regular polygon is both _______ and equiangular. 8. The measure of angle is 98°. Classify angle as A A an acute, right, or obtuse angle. 17. The expressions represent two side lengths (in meters) of a regular octagon. Find the length of a 9. The nonshared sides of two adjacent angles form a side of the octagon. pair of opposite rays. The angles are _________. a. acute 18. The expressions represent two angle measures of a b. complementary regular pentagon. Find the measure of an angle of c. a linear pair the pentagon. d. vertical angles 19. Complete the table. 1 2 3 4 5 6 n number 1 3 5 ? ? ? nth 20. Rewrite the statement in if-then form. 21. "If an obtuse angle is bisected, then two acute Every triangle has three sides. angles are obtained." Write the converse of this conditional statement. Is the converse true?
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w – 1, and RT = 18. Use the Segment Addition Postulate to solve for w. Then determine the length of 4. If AB = 19 and AC = 32, find the length of Fill in the correct word(s) to make the statement true. 5. Mathematical statements that are assumed to be true are called ______. BC = 7x – 13, AB = 4x + 26, B is the midpoint of . 6. Find AB and BC in the situation shown above. 7. mJHI = ()° and mGHI = ()° and mJHG = 65°. Find mJHI and mGHI. 8. The measure of angle A is 98°. Classify angle A as an acute, right, or obtuse angle. 9. The nonshared sides of two adjacent angles form a pair of opposite rays. The angles are _________. a. acute b. complementary c. a linear pair d. vertical angles Complete the conditional statement to make a true statement. 10. If and are complementary and °, then 11. If and are supplementary and °, then ________. 12. Solve for x: 13. form a linear pair. °. Find . 14. Name a pair of vertical angles in the figure above. 15. Name an angle supplementary to in the figure above. 16. Complete the statement. A regular polygon is both _______ and equiangular. 17. The expressions represent two side lengths (in meters) of a regular octagon. Find the length of a side of the octagon. 18. The expressions represent two angle measures of a regular pentagon. Find the measure of an angle of the pentagon. 19. Complete the table. n 1 2 3 4 5 6 nth number 1 3 5 ? ? ? 20. Rewrite the statement in if-then form. Every triangle has three sides. 21. "If an obtuse angle is bisected, then two acute angles are obtained." Write the converse of this conditional statement. Is the converse true?
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