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Geometry MID-TERM REVIEW (Chapter 1 & 2) PERIOD: 1) R, S, and T are co!linear. (T/F) 2) P, Q, R, and S are coplanar. (T/F) 3) d contains P. (T/F) 4) d and e intersect. (T/F) DATE: R, Q, and T are coplanar. (T!F) 6) Name the intersection of d and Y¢ 7) Name the intersection of 9~ and N Use this figure for 8 & 9. 8) FindACifAB=17andCB=4. 7~~ ~. [’2~ 9) Find x and AB ifAB = 5x, AC = x + 6 and CB = 22. 11) The coordinates of Segment LM are L(3, 4) and M(-12, -2). Find the length of I~M and 12) Given that segment PQ has one endpoint at P(-5, 1) and its midpoint at M(1, -1), find the coordinates of the other endpoint, Q. Show all work. 13) a)"Sketch: Linenintersectsplane©atpointP. b) Sketch: PH.I_PV c) AB bisects CD at P 14) Sketch: ZABC and Z.CBD form a linear pair. 15 m/_WDI [~o d) BD bisects ZABC 16 17 18 REASONING 19) If you are using several examples or data points to notice patterns or consistencies and form a conjecture, you are using i ~q~[A ~’ ~/~ reasoning. 20) If you are using rules to draw conclusions, you are using 4~-t~ ~4~" g~ reasoning. 21) If’~ bisect~ / KMQ~ m/_EMQ = 3x + 2°, mLKME = 4x - 15°, findx and m/KMQ. A 22) Ifm/_FMA = 3x + 7° and mAKME = 5x - 8, findx. 23) If m/_KME = 2x + 8~ and m/_~J= x - 2°, find x. 24) Ifm/-EMF= 140°, m/-EMQ = 6x + 10°, and m/QMF = 2x - 14°, find x and m/_EMQ. E tQ 25) Write the Converse, Inverse, and the Contrapositive of the fol!owing conditiona! Write your answers in~n form, a~d answer whether each of them is True or False Conditiona!: If two angles form a linear pair, they are adjacent. 26) Write the converse of the given conditional. State whether the converse is tree or false. If false, give a counterexample. Conditional: If two angles are complementary, then neither of the two angles is obtuse Chapter~ 1- 4 Complete the sentence with always, sometimes, or never. Draw sketches to help you! 1) If a ray divides an angle into two acute angles, then it, ~OyJ4~?~/~~bisects the original angle. 2) If two adjacent congruent angies have measures of2x + ~0 and 3x + 15, then each is a right angle, o~, X4- ~/o = ~ x-~, ~.@[ IK/A4,] ~ 3) If two angles form a lindar pair, then they are ~ [ ~,~ d.~ .~" _ supplementary. 4) An obtuse angle _ i~.[/¢d d~ ¢ has a supplement but no complement. 6) Two acute angles are ~q~ ~’~7~ ~ complementary. 7) Every angle 7Z~ [~U~5 has a supplement. 8) Two adjacent angles are ~d ~ 9) Lines that do not intersect are ~0tq’l~.,~’~Y/d parallel. ~ ~~-~-~ I~~’~ ~ .vertical angles. 10) If two angles and a non included side of one triangle are congruent to the corresponding congruent, flag parts of another triangle, then the triangles are i1) If B is between A and C, then A~ and CB are , opposite rays,~ 12) IfXY = YZ and ,YZ = XZ, then XY and XZ are ,v~ 1 t,~) ~’q ~- congruent. ~) The vertices of a triangle are Y1 ~ I,~r~ collinear. ~4) Two intersecting lines are 4( ~ ~t!f coplanar. ~5) The converse of a true statement is @ O~,.~,~v’4.~J true. Geometry NAME: M1DTERM REVIEW (Chapter 3) PERIOD: DATE; Directions: Your Midterm is 3 weeks away] Use your notes to help you review Chapter 3 and Coordinate Geometry. You will need the midpoint formula, distance formula, slope formula, and possibly point slope form of an equation. 1) Using the figure at the right, identify a pair of each of the following angles. a) alternate exterior angles ~ I i,uE/- @ ) Z 2- ’~° g~ 3 /" b) alternate interior angle Z q / 3/4 c) co~esponding angles ~ ~ d) consecutive interior angles e) ve~ical angles adjacent angles 7 /8 ’ linear pair Z~ + ~.~ 3) Find x if¢ll m in the figure below. = 8x + 36 and m ~. 2 = 4x + 24, find x and the m ~. 1 and m L. 2. a 8x + 36/ b 4Xi 5) Find x. Midterm Exam R?view - Cqordinate Geometry !) 2) For the line containing points A (-3, 5) and B (1, 2), determine: a) Coordinates oftlae midpoint of AB b) AB (length of AB / distance between A and B) c) The slope of AB d) The equation of the line in slope intercept form (y =mx + b) e) The slope of a line parallel to A--~ f) The slope of a line perpendicular to, AB For the line containing points A (4, -6) and B (2, -2), determine: a) Coordinates of the midpoint of AB b) AB (length of AB / distance between A and B) c) The slope of AB d) The equation of the line in slope intercept form (y = mx + b) e) The slope of a line parallel to AB f) The slope of a line perpendicular to AB