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Unit 1 Review Foundations of Geometry Name __________________________ Blk ___ Date _______ Vocabulary 1 . Know your definitions! Recognize them in diagrams! Use your vocab sheet to cover and practice. POINT LINE POSTULATE COLLINEAR OPPOSITE RAYS SEGMENT BISECTOR RIGHT ANGLE PLANE ANGLE OBTUSE ANGLE ADJACENT ANGLES COPLANAR LINE SEGMENT CONGRUENT SEGMENTS VERTEX ENDPOINT MIDPOINT INTERIOR/EXTERIOR OF AN ANGLE STRAIGHT ANGLE LINEAR PAIR BISECT RAY CONGRUENT ANGLES COMPLEMENTARY ANGLES ACUTE ANGLE ANGLE BISECTOR SUPPLEMENTARY ANGLES VERTICAL ANGLES Points, Lines and Planes and more … 2. In the diagram to the right NAME figures using points, symbols and script letters: a. A plane with _______________and without ___________ points. b. A line using two points _______________ and script letters _________ . c. Two rays with endpoint Y ________ ________ . d. Name the intersection of line r and line XY ___________ . e. Name 3 collinear points ___________________ . f. Name 4 points coplanar to plane ________________ . Name a line segment coplanar to both plane and plane R ______ g. Name the point between points X and M and points Q and T __________ . Line Segments 3. Using the diagram to the right: a. x = _____ b. AB = ______ c. BC = ______ d. AC = _______ 4. Read the descriptions, draw the diagrams and solve: a. LS RT ; RT = 15 Find LS. b. F is between points A and B on a line. AF = 12, FB = 3. What is AB? c. R is the midpoint of line segment AK. AR = 14. What is AK? Angles and Angle Pairs 5. In the following problems m 3 = 75O, and m 4 = 60O. Mark those measures on the diagram! a. Is 3 acute, obtuse, right or straight? _________ H b. What is m JFL? ____ ; m 5? __________ 5 c. FL and MK form what kind of angles? _____________ F d. What is m MFH? ________ ; MFL? __________ J 4 K 3 M e. What kind of “pears” don’t grow on trees? ______________ Name a pair: _______________ . f. Name a pair of angles which are adjacent. _______________ NOT adjacent: _______________ . 6. Using angle pairs (complementary, supplementary, or linear pairs) answer these questions: a. m BAT = 35O. What is its supplement? _____ Its complement? _____ b. L and M are supplementary. If m L = 15O, what is mM? _____ c. What would m M be if they were complementary? 7. Read the descriptions, draw the diagram and solve: a. Construct an obtuse angle and label it as RST. b. Place a point on the interior of RST and label it point A. c. Draw a line between the vertex and point A. d. If m RSA = 48O and m AST = 83O, what is mRST Midpoints and Distance Formulas 8. Use the coordinate grid to the right and your formula chart to help answer the following questions. a. What is the midpoint of (-1,5) and (-4,1)? ( ___ , ___ ) b. Point L(3, 4) belongs to line segment LF. Its midpoint is at M(0, 2). What is the coordinate of endpoint F? ( ___, ___ ) Hint: Use slope (rise/run) to help you. c. What is the distance between points L and M? ________ L