1) Draw line m that contains the points A and B. Name two other ways to name this line.

Transcription

1 1) Draw line m that contains the points A and B. Name two other ways to name this line. 2) Find the next 3 terms in the sequence and describe the pattern in words. 1, 5, 9, 13,,, 3) Find the next 3 terms in the sequence and describe the pattern in words. 1, 4, 9, 16,,, 4) Use the figure to the right to answer the following questions. a) Name the intersection of plane CDF and plane BAD. b) Are the points B and F collinear? c) Are the points B and F coplanar? d) Name three planes that intersect at point A 5) Name 1 in two different ways. 6) Explain the angle addition postulate in your own words. You should include a figure in your explanation. 7) Sketch an example of each of the following types of angles: acute, obtuse, right, and straight. 8) Two segments are congruent if and only if. 9) Find the circumference and area of a circle with a radius of 3 m. Round your answer to the nearest tenth. 10) Find the perimeter and area of a rectangle that has a length of 6 inches and a width of 2 feet. 11) Point S is between R and T on RT. Use the given information to write an equation in terms of x. Solve the equation. Then find RS and ST. RS = 2x + 10 ST = x 4 RT = 21

2 12) Point M is the midpoint of RT. Find RM, MT, and RT. 13) The endpoints of two segments are given. Find the length of the segment rounded to the nearest tenth. Then find the coordinate of the midpoint of the segment. A(2, 5) and B(4, 3) 14) VZ bisects UVW UVW 15) 1and 2 when, and m UVZ o 81. Find m UVW. Then classify by its angle measure. are complementary angles. Find the measures of the angles o 1 ( x 10 and m ) o 2 (2 x 40. m ) 16) Pentagon ABCDE is a regular polygon. The length of BC is represented by the expression 5x 4. The length of DE is represented by the expression 2x Find the length of AB. 17) Draw a sketch of a concave pentagon. 18) Draw an example of a linear pair. Fill-in the blank: Fill in the blank with the most appropriate word. 19) A has a definite beginning and end. 20) A has a definite starting point and extends without end in one direction. 21) are two rays that are part of the same line and have only their endpoints in common. 22) You can use a to measure angles and sketch angles of given measure. 23) Angles with the same measure are. 24) Two angles are if and only if (iff) the sum of their degree measure is ) A regular polygon is both and. 26) In a conditional statement, the part that directly follows if is the. 27) Two coplanar angles with a common side, a common vertex, and no common interior points are. 28) If the sum of the measures of two angles is 90 degrees, the angles are complementary. 29) When a conditional and its converse are true, they may be written as a single true statement called a. 30) Two angles whose noncommon sides from opposite rays are a.

3 31) The of a conditional switches the hypothesis and the conclusion. 32) If the sum of the measures of two angles is 180 degress, the angles are. 33) Explain the difference between a theorem and a postulate using complete sentences. 34) Write the if-then form, the converse, and the inverse, for the given statement. All right angles are congruent. 35) Show that the conjecture is false by finding a counterexample. The sum of two numbers is always greater than the larger number. 36) Explain why the statement is not a good definition. Vertical angles are angles that are congruent. 37) If you decide to go to the football game, then you will miss band practice. Tonight, you are going to the football game. Using the Law of Detachment, what statement can you make? 38) If you get an A or better on your math test, then you can go to the movies. If you go to the movies, then you can watch your favorite actor. Using the Law of Syllogism, what statement can you make? 39) Sketch an example of a linear pair of angles. 40) Sketch an example of complementary angles. 41) Solve the equation. Write a reason for each step. -7(-x + 2) = 42 42) Find the measure of b b 50 o 42) Find the measure of b b

4 43) If m 4 57 o, find m 1, m 2, and m ) Find the measure of each angle in the diagram. 4x 7y y + 8 6x ) Complete the statement. a. 6 and are corresponding angles. b. 3 and are consecutive interior angles. c. 5 and are alternate interior angles. d. 2 and are alternate exterior angles. 46) Find the value of x. 47) Find the value of x. 48) Find the value of x.

5 Find the value of x that makes m n. 49) 50) 51) 52) Find the measure of angle ) Find the measure of angle 1 and angle ) Draw a right isosceles triangle. 2

6 55) Draw a obtuse scalene triangle. 56) Draw a concave pentagon. 57) Draw a convex quadrilateral. 58) A triangle with a 90 o angle has sides that are 3 cm, 4 cm, and 5 cm long. Classify the triangle by its sides and angles. 59) Find the measure of one interior angle in a regular octagon. Round your answer to the nearest tenth if necessary. 60) Find the measure of one interior angle in a regular 18-gon. Round your answer to the nearest tenth if necessary. 61) Find the measure of one exterior angle in a regular pentagon. Round your answer to the nearest tenth if necessary. 62) Find the measure of one exterior angle in a regular 21-gon. Round your answer to the nearest tenth if necessary. 63) Find the interior angle sum for a regular decagon. 64) Find the interior angle sum for a regular 17-gon. 65) What is the exterior angle sum of any regular polygon? 66) Write the slope formula. 67) Name the slope and y-intercept of y = -4x +3. Graph the line. 68) Draw a line on the coordinate plane with a slope of zero. 69) Write an equation in slope-intercept form of a line with a slope of 2 and contains the point (4, 1). 70) Write an equation in slope-intercept form of the line that contains the points (6, 2) and (2, 4). 71) The two congruent sides of an isosceles triangle are the. 72) The two congruent sides of an isosceles triangle form the. 73) The side opposite the right angle of a right triangle is the. 74) The angles of an isosceles triangle that are not the vertex angles are called the. 75) The are the two sides of a right triangle that are not the hypotenuse. RSTUV KLMNO. Complete the congruence statements. 76) TS 77) N. Find the measures of the given angles or segments. 78) BC = 3z + 2, EF = z + 6 ABC DEF

7 79) m B 3 y, m E 21 Which postulate or theorem, if any, could you use to prove the two triangles are congruent? If not enough information is given, write not possible. 80) 81) 82) 83) 84) Find the value of x and y. x 110 y 85) Find the value of x. x 65 86) Tell whether the HL Theorem can be used to prove the triangles congruent. If so, explain. If not, write not possible.

8 87) Explain why you cannot use AAA to prove two triangles congruent. Short Answer: Answer the following question completely. You may draw figures to help you answer the questions. 88) An angle exterior to the vertex angle of an isosceles triangle measure 80 degrees. Find the angle measures of the triangle. 89) Explain what the abbreviation CPCTC represents and explain why it is useful. 90) How are SAS and HL alike, and how are they different? 91) Explain why the letters of ASA and AAS are written in a different order. 92) Suppose that two pentagons are congruent. How many pairs of congruent corresponding parts are there? Explain. 93) If two game boards have the same area, are the game boards congruent? Explain your answer.