1.) Use the figure at the right to answer the following questions. a.) Name three points that are coplanar with point P. b.) What is another name for plane KMN. c.) Name two non-coplanar line segments that do not intersect. d.) Name two planes that do not intersect. 2.) Points R, S, and T are collinear. Point S is between R and T. Use the information below to find RS, ST, and RT. a)RS =2x+10 b.) RT =8x 14 ST=x4 SR=4x-9 RT =21 TS =19 3.) In the diagram, AB = BC and AC = CD. If AD = 12, find AB and AC. D C B A A 4.) In each diagram, identify the segment bisector of XY. Then find XY. 3x + 1 a. ) 8x - 24 X b.) n M 5x + 8 9x + 12 N X M Y5.) Find the distance between (4,7) and (2, 3). Leave your answer in simplified radical form. 6.) Find the midpoint between (2, 15) and (7, 11) 7.) The coordinates of the midpoint of segment GH are M (4,3). The coordinates of G are (5, 6). Find the coordinates of H. 8.) Classify each polygon by the number of sides. Tell whether the polygon is convex or concave. TR 9.) Find the perimeter and area of each polygon with the given vertices. a-) A (_5: _8)9 B (21 _8)9 C (7r _2) b) G (013): H (_21 1)!] (21 _3)3 K (4', _1) y 10.) Name three different angles in the picture. M N H K 1 1.) Find mZABD and m_DBC if mZABC = 950. A (2x + 23)0 AT 'D (9x - 5) B C 12.) ZABC is a straight angle. Find m ZABX and m _CBX. (14x + 70) / (20x + 8) A B C13.) BD bisects ZABC. Find mZABD, m_CBD, and mZABC. (-4x + 33)1 D A (2x + 81) B 14.) In the diagram below, is it possible for ZXYZ to be a straight angle? Explain your reasoning. V 460 X Y Z 15.) Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.16.) The measure of an angle is nine times the measure of its complement. Find the measures of the angle and its complement. 17.) Two angles form a linear pair. The measure of one angle is 15 less than 2 the measure of the other angle. Find the measure of each angle. 18.) For the following diagram, state whether you CAN CONCLUDE the following statements. ( You can just write YES or NO). a.) CA = AF D C b. ) Points C, A, and F are collinear. C.) ZCAD = LEAF B A E d.) BA = AE F e.) ZBAC and ZCAD are complementary angles. f.) ZDAE is a right angle.19.) For the given statements below, write the conditional, converse, inverse, and contrapositive. Let p = \"It did not snow\" and g = \"I ran outside\" Conditional: Converse: Inverse: Contrapositive: 20.) Find a counterexample to show that the following conjecture is false. \"If two angles are supplements of each other, then one of the angles must be acute.\" 21.) State which law of logic is illustrated (law of detachment or law of syllogism). a.) If you text and drive, then you will get a ticket. If you get a ticket, then your parents won't let you drive for two weeks. Conclusion: If you text and drive, then your parents won't let you drive for two weeks. b.) If you miss a practice on any given day, then you will not be a starting player in the following game. Conclusion: You miss practice on Wednesday, so you will not be a starting player in the game on Thursday. 22.) Use the diagram to determine whether you CAN CONCLUDE the following statements. (You can just write YES or NO). a.) Planes W and X intersect at KL W O M b.) Points K, L, M, and N are coplanar. R K c.) Points Q, J, and M are collinear. N L X P d.) MN and RP intersect e. ) JK lies in plane X. f.) ZPLK is a right angle g.) ZNKL and ZJKM are vertical angles h.) ZNKL and ZJKM are supplementary angles23.) Sketch a diagram of the given situation: XY in plane P, XY bisected by point 4, and point C not on XY. 24.) In the following formula, solve for the variable n. Justify each step with a property of equality. S =180(n 2) 25.) Write a two-column proof to prove the following: A Given: AB ~ FG, BF bisects AC and DG Prove: BC = DF B F C G 26.) For each diagram, find the values of x and y. (10x - 4) a.) (8x + 7) b. ) 5yo 16y (7y - 34) (18y - 18) (9x - 4) 6(x + 2)027.) Write a two-column proof to prove the following: Given: ZQRS and ZPRS are supplementary Prove: ZQRL = ZPSR Q R M P S N K28.) Write a two-column proof to prove the following: K Given: JK LJM , KL LML, 4J = ZM, and ZK = LL Prove: JM LML , JK LKL M