Final Review Geometry A Fall Semester

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1 Final Review Geometry Fall Semester Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph shows a triangle and its reflection image over the x-axis? a. y c. y x x b. y d. y x x Matching a. collinear e. point b. segment f. ray c. line g. undefined term d. plane h. coplanar. a basic figure that is not defined in terms of other figures 3. points that lie on the same line. a flat surface that has no thickness and extends forever

2 5. a straight path that has no thickness and extends forever 6. a location that has no size 7. points that lie in the same plane a. line e. plane b. opposite rays f. vertex c. postulate g. endpoint d. ray h. segment 8. a point at an end of a segment or the starting point of a ray 9. a part of a line that starts at an endpoint and extends forever in one direction 10. a statement that is accepted as true without proof, also called an axiom 11. the common endpoint of the sides of an angle 1. two rays that have a common endpoint and form a line 13. a part of a line consisting of two endpoints and all points between them a. exterior of an angle f. right angle b. interior of an angle g. straight angle c. vertical angles h. complementary angles d. acute angle i. supplementary angles e. obtuse angle 1. the nonadjacent angles formed by two intersecting lines 15. an angle formed by two opposite rays that measures an angle that measures greater than 0 and less than an angle that measures the set of all points between the sides of an angle 19. an angle that measures greater than 90 and less than the set of all points outside an angle a. congruent angles e. supplementary angles b. angle bisector f. exterior angles c. vertical angles g. adjacent angles d. linear pair h. complementary angles 1. two angles in the same plane with a common vertex and a common side, but no common interior points. two angles whose measures have a sum of two angles whose measures have a sum of 180

3 . a ray that divides an angle into two congruent angles 5. a pair of adjacent angles whose noncommon sides are opposite rays 6. angles that have the same measure a. translation e. position b. transformation f. dimension c. rotation g. image d. reflection h. preimage 7. a shape that results from a transformation of a figure 8. the original figure in a transformation 9. a transformation across a line 30. a change in the position, size, or shape of a figure 31. a transformation about a point P, such that each point and its image are the same distance from P 3. a transformation in which all the points of a figure move the same distance in the same direction a. acute triangle e. isosceles triangle b. equilateral triangle f. equiangular triangle c. right triangle g. scalene triangle d. obtuse triangle 33. a triangle with three acute angles 3. a triangle with at least two congruent sides 35. a triangle with one obtuse angle 36. a triangle with three congruent sides 37. a triangle with one right angle a. interior angle e. interior b. complementary angles f. remote interior angle c. supplementary angles g. exterior d. exterior angle 38. an angle formed by one side of a polygon and the extension of an adjacent side 39. an angle formed by two sides of a polygon with a common vertex 0. an interior angle of a polygon that is not adjacent to the exterior angle 1. the set of all points outside a polygon. the set of all points inside a polygon

4 a. exterior angle e. vertex angle b. corresponding angles f. included side c. interior angle g. corresponding sides d. included angle 3. angles in the same relative position in two different polygons that have the same number of angles. the angle formed by the legs of a triangle 5. the common side of two consecutive angles of a polygon 6. sides in the same relative position in two different polygons that have the same number of sides 7. the angle formed by two adjacent sides of a polygon a. isosceles triangle e. triangle rigidity b. base angle f. base c. scalene triangle g. legs of an isosceles triangle d. equiangular triangle 8. a property of triangles that states that if the side lengths of a triangle are fixed, the triangle can have only one shape 9. a triangle with three congruent angles 50. the side opposite the vertex angle of a triangle 51. one of the two congruent sides of the isosceles triangle 5. one of the two angles that have the base of the triangle as a side a. paragraph proof e. congruent polygons b. two-column proof f. corollary c. coordinate proof g. PT d. auxiliary line 53. a style of proof that uses coordinate geometry and algebra 5. two polygons whose corresponding sides and angles are congruent 55. a theorem whose proof follows directly from another theorem 56. an abbreviation for orresponding Parts of ongruent Triangles are ongruent, which can be used as a justification in a proof after two triangles are proven congruent 57. a line drawn in a figure to aid in a proof Short nswer 58. Name the smallest angle of The diagram is not to scale.

5 If what is the relationship between 60. List the sides in order from shortest to longest. The diagram is not to scale. J K 76 L 61. The vertices of a triangle are P( 8, 6), Q(1, 3), and R( 6, 3). Name the vertices of after a reflection over the line y = x. 6. The vertices of a triangle are P( 3, 8), Q( 6, ), and R(1, 1). Name the vertices of. 63. Name three non collinear points.

6 P R G N 6. Name a plane that contains. W T R 65. is between and E. =, =, and E = 7. Find E. E x x 66. K is the midpoint of. and. Find JK, KL, and JL. 67. Find the measure of. Then, classify the angle as acute, right, or obtuse. O 68. m and m. Find m.

7 I L J K 69. bisects, m, and m. Find m. 70. Tell whether and are only adjacent, adjacent and form a linear pair, or not adjacent. F 1 3 G 71. Find the measure of the complement of, where m 7. Name all pairs of vertical angles. J L M K N 73. Find the coordinates of the midpoint of with endpoints (1, 6) and M(7, 5).

8 y 8 6 M x Find and EF. Then determine if. E y x 1 F figure has vertices at E( 3, 1), F(1, 1), and G(, 5). fter a transformation, the image of the figure has vertices at E ( 3, 1), F (1, 1), and G (, 5). raw the preimage and image. Then identify the transformation. 76. Find the coordinates for the image of EFG after the translation (x, y) (x 6, y + ). raw the image.

9 y 7 E 7 7 x F G Tell whether the transformation appears to be a reflection. Explain. 78. Tell whether the transformation appears to be a translation. Explain. 79. Rotate with vertices R(, 1), S(5, 3), and Q(3, 1) by 90 counterclockwise about the origin. 80. has vertices (3, 1), (, 5), and (, 3). Rotate 90 counterclockwise about the origin and then reflect it across the x-axis. 81. Give an example of alternate interior angles, alternate exterior angles, same side interior angles and corresponding angles.

10 raw two lines and a transversal such that 1 and are alternate interior angles, and 3 are corresponding angles, and 3 and are alternate exterior angles. What type of angle pair is 1 and? 83. Find. xº (3x - 70)º 8. Find m. R >> S (3x)º T U (x )º >> V 85. Use the slope formula to determine the slope of the line containing points (6, 7) and (9, 9).

11 10 y x Write the equation of the line with slope 3 through the point (8,-1) in point-slope form. 87. etermine whether the pair of lines and are parallel, intersect, or coincide. 88. lassify by its angle measures, given m, m, and m. 30º 75º 60º 89. is an isosceles triangle. has length. = and =. Find. 3 x x- 5 6 x Find and, given,, and.

12 N F E P M 91. Find m, given,, and m. E F 9. Given that and m = 7, find m. E 7º 93. Tom is wearing his favorite bow tie to the school dance. The bow tie is in the shape of two triangles. Given:,,, Prove: E omplete the proof. Proof: Statements 1.,, 1. Given Reasons

13 .. Given [1].. [] 5. [3] 5. efinition of congruent triangles 9. Find the value of x. x - 8 x Find m. P xº R (x + 10)º Q 96. Show that GHIJ is a parallelogram for x = 5 and y = 8. H 5x-10 I 3y 5y-16 G 7x-0 J 97. TRSU is a rhombus. Find. R x + 5 S 5x + T U

14 Multiple hoice Identify the choice that best completes the statement or answers the question. 98. Which three lengths NNOT be the lengths of the sides of a triangle? a. 3 m, 17 m, 1 m c. 5 m, 7 m, 8 m b. 11 m, 11 m, 1 m d. 1 m, 6 m, 10 m 99. Which three lengths could be the lengths of the sides of a triangle? a. 1 cm, 5 cm, 17 cm c. 9 cm, cm, 11 cm b. 10 cm, 15 cm, cm d. 1 cm, 7 cm, 6 cm 100. Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side? a. at least 11 and less than 3 c. greater than 11 and at most 3 b. at least 11 and at most 3 d. greater than 11 and less than 3

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