Points that live on the same line are. Lines that live on the same plane are. Two lines intersect at a.
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1 For points through E, plot and label the points on the coordinate plane and then state the quadrant each point is located in. If the point does not live in a quadrant, state where it falls. LOTION (-3, 1) (-4, 5) (3. 2) (0, 4) E (0. 0) Fill in the blank with the correct word. Points that live on the same line are. Lines that live on the same plane are. Two lines intersect at a. contains an infinite number of points and goes on forever in two directions. is formed by connecting two endpoints. raw a picture for each: RY LINE LINE SEGMENT POINT 2
2 Show 4 different ways to NME this angle: Use the picture below to answer questions 5-8. E F 5. Is EF? Why? 6. Find 7. Find 8. What is the midpoint of? raw a picture to represent the following: 9. k contains and K 10. J, K, and L are collinear 11. f and RT intersect at 3
3 Use the distance formula found on your formula sheet to find the following lengths: 12. Find if (2, 1) and (8, 2) 13. Find HI if H(-3, 1) and I (3, -5) 14. Find if (-32) and (108) 15. Find HI if H(44) and I (-322) Use the picture to answer the following E 16. State another name for 1: Name the vertex of E : 18. Name the two rays that are the sides of 3: and 19. Name a pair of supplementary angles: and 20. Name a pair of complementary angles: and 21. Name a pair of opposite rays: and 22. The m E m E m 23. ngles 1 and 2 are to each other. 24. and form a pair. 4
4 In the picture XP and XT are opposite rays. Given the following information find the value of x and then find the missing angle measurements!!! 25. m SXT 4x 1 m QXS 2x 2 Q S m QXT 125 R P X T 26. m PXR 3x m RXT 5x 20 Q S R P X T m XKP 5x m PKQ 3x 4 m XKQ 150 P Q X K Z 5
5 raw an accurate picture to show the following: and 3 are JENT and 7 are SUPPLEMENTRY but NOT JENT 30. and form a linear pair and 9 are complementary and 11 are congruent and 3 are vertical angles Solve for x and then find the missing measurements. 34. m LR 8x 12 m RK 5x 42, R 12 x 5 is an angle bisector 35. T 8x 31 L T R K 36. m US 16x 3 m SUR 4x 18 S R m UR 115 U 6
6 Fill in the blank: 37. Two angles that are next to each other and share a common ray are. 38. The word used to describe lines that are not parallel and are non-coplanar is. 39. Two angles are if they have the same exact measure. 40. Two parallel lines have slopes. 41. Two lines that are perpendicular have slopes. 42. This symbol means that two lines are perpendicular: 43. This symbol means that two lines are parallel. 44. Two angles that add up to 90 are angles. 45. Two angles that add up to 180 are angles. 46. Two angles are if and only if their sides form two pairs of opposite rays. 47. is a line that intersects two or more other lines. Use the provided picture to answer the following: 48. Name a pair of parallel segments: & 49. Name a pair of perpendicular segments: & G E 50. Name a pair of segments that are skew: & 7 F
7 p Note: p // q q For questions choose the correct answer: lternate Interior ngles, orresponding ngles, Same Side Interior ngles, lternate Exterior ngles, Linear Pair, or Vertical ngles 51. 1& 8 are & 2 are & 8 are & 7 are & 5 are & 8 are. Find the complement and supplement of the given angles: 57. a) m V 70 b) m J 115 c) m R 42 comp: comp: comp: supp: supp: supp: 8
8 Solve for x. Geometry : Midterm Review Packet 6x-23 4x M 2x x x 3x + 5 x x N = 7x x x x x
9 Solve for x!! x x x + 6 3x Find x, y, and z if l, m, and n are parallel to each other: 12x y l 55 m t 2z - 5 n 10
10 For questions 67 71: Given the points ( -3, 10) and ( 6, 14) find: (LOOK at your FORMUL SHEET!) 67. Find the midpoint of the segment 68. The slope of the line that contains connecting to : and : 69. What is the equation of the line that connects to? suur 70. Write a line parallel to suur 71. Write a line perpendicular to lassify the following triangles by SIES (Equilateral, Isosceles, or Scalene) and NGLES (cute, Obtuse, Right, or Equiangular). m EF = m F = 5 cm m E = 2 cm m EF = 90 E F E m EF = 4 cm F SIES: SIES: NGLES: NGLES: m E = 3 cm m F = 3 cm m EF = 61 m FE = 61 E m EF = 3 cm F E m EF = 4 cm F SIES: SIES: NGLES: NGLES: 11
11 Fill in the blank with the correct answer: 76. triangle with congruent angles and sides is both and. 77. triangle with NO ONGRUENT sides is called. 78. triangle with only TWO ONGRUENT sides is called. 79. triangle with one angle that measures 122 o is considered. 80. triangle with P 50 o and Q 60 o must be Label all parts of the ISOSELES triangle Label all parts of the RIGHT triangle If E=F E F E F 83. The measure of the vertex angle of an isosceles triangle is 110. What is the measure of one of the base angles? 84. The measure of a base angle of an isosceles triangle is 20. What is the measure of the vertex? 12
12 raw and label the following lines and segments. Make sure to use arc marks and tic marks when necessary. 85. raw the MEIN that passes through 86. raw the NGLE ISETOR of 87. raw the PERPENIULR ISETOR of 88. raw an LTITUE that is special for the following triangles: 13
13 89. List 4 ways to prove NY TWO triangles ONGRUENT: List 2 ways that will NOT prove two triangles are congruent etermine if the following triangles are ONGRUENT by using one of your answers from question 89. If they are not congruent write, RE NOT ONGRUENT. F 91. method: 7m 8m 7m E 8m 92. method: m = m GIH = I 7m 7m H G m = m IHG = method: m = m MON = O 7m 7m N M 8m 14 8m
14 94. State the 4 ways to prove any two RIGHT TRINGLES congruent: etermine if the following RIGHT TRINGLES are congruent. If they are state one of the methods from question T 10m 10m 6m 6m 6m 6m T 8m U 8m S U S method: method: Solve for x. V X W x X 99. V W m VXW = 90 X m W 2x 3 m V 3x 8 15
15 Solve for x x x Name the polygon with the given number of sides: Number Number of sides Name of sides Name : Fill in the blank In a (rectangle / rhombus) the diagonals are congruent The diagonals are perpendicular in a (rectangle/ rhombus) Opposite angles are congruent in all (polygons/ parallelograms) onsecutive angles are (congruent/ supplementary) in a parallelogram (square/ rectangle) is always a rhombus. 16
16 Questions : Geometry : Midterm Review Packet RETNGLE 108. Find x: 40x 10 15x 35 RHOMUS RSTU 109. R S Find m URS U T URS RUT 2x 10 10x 14 PRLLELOGRM WUVM 110. W U E Find EM V M WM WE 22x 32 3x 8 17
17 111. S The shape to the right is a square, M Find x SM 15x x + 9 Given that is a parallelogram, how long is? 8x Given that PQRS is a rectangle and PR= 8x -10 and SQ = 2x +38, find the length of PR. P Q S R 114. K L Given that KLMN is a rhombus, KR = 5 and RL =12, R Find KL: N M 18
18 Find the missing side length. Use your formula sheet for reference!! LL OF THE FOLLOWING TRINGLES RE RIGHT TRINGLES!!! x 8 5 x 6 7 x x y y 7 30 x x EST OF LUK ON THE MITERM!! 19
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