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Transcript
Geometry Practice Name_________________________ 1. Angles located next to one another sharing a common side are called ________________angles. 2. Planes that meet to form right angles are called _________________________planes. 3. Lines that cross are called ________________________________ lines. 4. What would the symbol for the measurement for line segment CD look like? A B C 5. What is the formula for the area of shape A above? 6. What is the formula for the circumference of shape A above? 7. What is the formula for the area of shape B above? It has all right angles. 8. What is the formula for the perimeter of shape B above? It has all right angles. 9. What is the formula for the area of shape C above? W Y X O Z 10. WX in circle O (above) is called a(n)______________________________. 11. YZ in circle O (above) is called a(n)______________________________. 12. OZ in circle O (above) is called a(n)______________________________. in circle O (above) is called a(n)______________________________. 13. YW 14. A six-sided polygon is called a__________________________________. 15. A line connecting two non-adjacent angles in a polygon is called a ____________. 16. Two angles that add to 90° are called ___________________________ angles. 17. Three words that describe a triangle by its sides are___________________________, _________________________, and ________________________________. 18. Three words that describe a triangle by its angles are___________________________, _________________________, and ________________________________. 19. A line that crosses a pair of parallel lines is called a _______________________. 20. List at least three words or phrases that describes angle relations for congruent angles formed by parallel lines cut by a transversal? _______________________________________, _______________________________________, and _______________________________________. 21. An angle whose measure is 180° is known as a ______________________angle. 22. Two endpoints and the straight path between them is known as a(n) ________________________. 23. What is the symbol for ray CD?______________ 24. What would the symbol for the measurement for angle ABC look like?____________________ 25. A quadrilateral with exactly one set of parallel sides is known as a(n) _______________________. 26. A trapezoid with a 90° angle is known as a(n) ________________________ trapezoid. 27. A triangle with no sides of equal length is known as a(n) ___________________________triangle. 28. The general term for a 2-D closed shape with straight edges is known as a(n) _________________. 29. A rectangular prism with 6 congruent faces, all squares is known as a(n) _____________________. 30. A polyhedron with two parallel, congruent bases and parallelogram faces is called a(n) __________________________. 33. The tool used to measure an angle is called a ____________________________. 34. The flat side of a cone is called the ____________. 35. A trapezoid whose non-parallel sides are congruent is known as a(n) ________________________ trapezoid. 36. A three-dimensional figure with no holes in which all faces are polygons is known as a(n) ___________________________. 37. A polyhedron with a polygonal base and whose other faces are triangles with a common vertex is known as a(n) __________________________________. 38. The sum of the areas of the lateral faces of a prism is known as the prism’s ____________________________________. 39. The general term for a quadrilateral with all sides of equal measure is _______________________. 40. A two dimensional one-piece plan which can be folded into a three dimensional shape is called a(n) _______________. 41. The point where two sides of a polygon meet is known as a______________________________. 42. The general term for a quadrilateral with all sides of equal measure is _______________________. 43. Two rays with a common endpoint form a(n)_____________________________. 44. The tool used to draw a circle is called a(n) ____________________________. 45. The height of a side of a cone, measured on the cone, is called the __________________________. 46. A line, segment or ray that divides a segment into two congruent segments and meets that segment at a 90° angle is known as a(n)__________________________________________________. 47. An equation of two equivalent ratios is called a(n)________________________________. 48. Figures that have the same shape but not necessarily the same size are called ________________________ figures. 49. When increasing or decreasing a shape ratio between the two sets of measurements, copy and original, is called the ___________________________________________. 50. A ray that divides an angle into two congruent parts is called a(n) __________________________. 51. A change in the size or position of a figure is known as a(n) _______________________________. 52. A figure resulting from a transformation is known as a(n) _________________________________. 53. An angle whose measure is between 90° and 180° is known as a(n) _________________angle. 54. A ratio that compares two quantities measured in different types of units is called a ____________. 55. The perpendicular distance from a vertex of a triangle to the base (or the line containing the base) is known as its __________________________________. 56. Two angles whose measures add to 180° are ________________________________angles. 57. A(n) ________________________ is an exact location in space. 58. The opposite angles of a parallelogram are always _____________. 59. The set of all points in a plane that are the same distance from a given point is called a ______________________________. 60. An infinite set of points forming a straight path extending in two directions is a(n) ____________. 61. Lines that lie in different planes that are neither parallel nor intersecting are called __________________ lines. 62. Two polygons that have the same shape and are the same size are known as ____________________________ polygons. 63. An angle with a measure greater than 0° and less than 90° is called a(n) ________________angle. 64. A pair of opposite, congruent angles formed by intersecting lines are called_________________________ angles. 65. Parts, on congruent or similar figures, that “match” (similar location when rotated in same direction) are known as _________________________________parts. 66. The side opposite the right angle, also the longest side, of a right triangle is called a ________________________________. 67. A portion of a line that has one endpoint and extends forever in one direction is called a(n)______________. 68. Objects have________________________symmetry when half the object is a mirror image of the other. 69. Area is measured in ________________ units while volume is measured in _____________ units. 70. A part of the interior of a circle bounded by two radii and the arc between their endpoints is called a(n) ________________________. 71. A polygon in which all sides are congruent and all angles are congruent is called a ______________________ polygon. 72. The number of points needed to name a central angle is ________. 73. The number of points needed to name a quadrilateral is________. 74. The number of points needed to name a semicircle is_________. 75. The number of points needed to name a diameter is ________. 76. The number of points needed to name a line is________. 77. The number of points needed to name an angle is_________ or on occasion____________. 78. The number of points needed to name a circle is_________. 79. The number of points needed to name a minor arc is ________. 80. The number of points needed to name a ray is________. 81. The number of points needed to name a radius is_________. 82. The number of points needed to name a triangle is ________. 83. The number of points needed to name a line segment is________. 84. The number of points needed to name a chord is________. Directions: True or false? Circle answer. 85. True or false: The side of a non-rectangular parallelogram is the same as its height. 86. True or false: The diameter of a circle is a line segment. 87. True or false: The chord of a circle is an arc. 88. True or false: Vertical angles are congruent. 89. True or false: The hypotenuse is always the longest side of a right triangle. 90. True or false: Right triangles can have more than one right angle. 91. True or false: The angles of a triangle must add to 360° 92. True or false: The angles of a quadrilateral must add to 360° 93. True or false: A midpoint marks the middle point of a line. 94. True or false: An arc has the same measure as its central angle. 95. True or false: Cones can be oblique. 96. True or false: Cylinders can be oblique. 97. True or false: The volume of a pyramid is three times that of a prism of the same base area and height. 98. True or false: Alternate exterior angles are also known as Z angles. 99. True or false: A regular pentagon has exactly two diagonals. A B E C D F G H Note: BD EG . Use the above figures to complete the following: 100. Name the transversal.____________________________________ 101. Name an angle that corresponds to ∠ACB ._____________________________________ 102. Name a pair of alternate interior angles. _______________________________________ 103. Name a pair of alternate exterior angles._______________________________________ 104. Name an angle that is supplementary to ACB .________________________________ 105. Name an angle that is vertical to ∠CFG .______________________________________ 106. Name an angle that is congruent to GFH .____________________________________ 107. What condition must hold true for corresponding angles, formed by lines cut by a transversal, to be congruent? _________________________________________________________________ Directions: Write the name of the polygon that is best defined by each of the following definitions. 108. a three-sided polygon_____________________________________ 109. a four-sided polygon_____________________________________ 110. a five-sided polygon_____________________________________ 111. a six-sided polygon_____________________________________ 112. a seven-sided polygon_____________________________________ 113. an eight-sided polygon_____________________________________ 114. a nine-sided polygon_____________________________________ 115. a ten-sided polygon_____________________________________ 116. a twelve-sided polygon_____________________________________ 117. a quadrilateral with both pairs of opposite sides parallel_________________________________ 118. a quadrilateral with four right angles_____________________________________ 119. a quadrilateral with four congruent sides_____________________________________ 120. a quadrilateral with four congruent sides and four right angles____________________________ 121. a quadrilateral with two pairs of adjacent, congruent sides_______________________________ 122. a quadrilateral with exactly one pair of parallel sides___________________________________ Directions: For questions 123-142, use A = always, S = sometimes, N = never 123. A quadrilateral is______ a square. 133. A quadrilateral is______ a hexagon. 124. A rhombus is______a rectangle. 134. A kite is______a rectangle. 125. A square is ______a rectangle. 135. A quadrilateral is ______a kite. 126. A rhombus is ______a parallelogram. 136. A square is ______a parallelogram. 127. A quadrilateral is______ a trapezoid. 137. A pentagon is______ a polygon. 128. A rhombus is______a square. 138. A kite is______a parallelogram. 129. A trapezoid is ______a rectangle. 139. A nonagon is ______a polygon. 130. A polygon is ______a parallelogram. 140. A rectangle is ______a trapezoid. 131. A square is ______a polygon. 141. A triangle is ______a quadrilateral. 132. A rectangle is ______a rhombus. 142. A rectangle is ______a square. Directions: Matching. Write the letter of the definition next to the word it best describes. A. A transformation in which a figure is rotated or turned around a point. B. Half of the object is a mirror image of the other half. C. A transformation of a figure that flips the figure across a line. D. A transformation in which a figure is enlarged or reduced by a given scale factor. E. New images are identical rotations of the original figure. F. A transformation resulting in the movement of a figure along a straight line. G. without symmetry 143. __________ dilation 144. __________ rotation 145. __________ reflection 146. __________bilateral symmetry 147. __________radial symmetry 148. __________asymmetry Directions: Write down the formulas for the following. Make a key if you use a letter to represent a measurement. 149. Pythagorean Theorem________________________________________ 150. Volume of a cylinder_________________________________________ 151. Surface area of a cylinder_____________________________________ 152. Volume of a cone___________________________________________ 153. Surface area of a cone_______________________________________ 154. Volume of a prism__________________________________________ 155. Surface area of a prism______________________________________ 156. Area of a square____________________________________________ 157. Perimeter of a square________________________________________ 158. Area of a trapezoid__________________________________________ 159. Draw a possible base of a octagonal prism. Key Directions: Tell what the following symbols represent or mean. 160. ⎜⎜ ________________________________________________ 161. ≅ ________________________________________________ 162. AB ________________________________________________ 163. AB ________________________________________________ 164. ≥ ________________________________________________ 165. ⊥ ________________________________________________ Directions: Draw symbols representing the following words or phrases. 166. angle JKL is congruent to angle PQR________________________________________________ 167. about equal to________________________________________________ 168. line AB is parallel to ray CD________________________________________________ 169. the measure of arc FG is 83 degrees________________________________________________ 170. the measure of line segment KL is 4.9 centimeters______________________________________ 171. the measure of angle MNP is 45 degrees______________________________________________ 172. Draw ray CD. Label it correctly. 173. Draw line EF. Label it correctly. 174. Draw line segment GH. Label it correctly. 175. Draw a pair of parallel lines. Label them correctly. 176. Draw perpendicular lines. Label them correctly. 177. Draw and label the exterior angle of the following shape: 178. Find the surface area of the following prism: 12.2 inches 13 inches 10.5 inches 179. a) Draw the height of the following triangle, given the base. b) Measure the length of its base and height to the nearest tenth of a centimeter. c) Measure each of the angles of the triangle. base