Geometry Cumulative Study Guide Test 13

Transcription

1 Geometry umulative Study Guide Test 13 Numeric Response 1.Find the area, in square feet, of a parallelogram if the height is 9 feet and the base is 4 feet. Name: ate: Period: 10.Find the unknown side lengths in the two similar triangles below. K 2. searchlight rotates through a circle that has a radius of 110 feet. What is the area that the searchlight covers? Round to the nearest square foot. 3.Figures and WXYZ are similar polygons. Their corresponding sides have a ratio of. If the perimeter of figure is 51 inches, what is the perimeter, in inches, of figure WXYZ? J L W a b X 21 Y 4.How many faces does a polyhedron with 27 vertices and 52 edges have? 5. triangle is equiangular and has a perimeter of 38.7 centimeters. etermine the length, in centimeters, of each side. 6.Find the volume, in cubic feet, of a right prism if the base is a 8-feet-by-6-feet rectangle and the height is 4 feet. 11.In the diagram below,. Find the values of a and b. X 7 8 S T a W b Y is a midsegment of Problem 7.For the statement set below, draw a valid conclusion. Identify which law is used to reach the conclusion. If etty takes a vacation, she goes to the beach. If etty goes to the beach, she goes swimming. 12. flag is in the shape of an equilateral triangle and each side measures 26 inches. What is the area of the flag? Give your answer in simplified radical form. 13.Find the perimeter of rectangle with coordinates,,, and. Give your answer in simplified radical form. 8.etermine whether a triangle with sides 12, 16, and 20 is a right triangle. 9.Find a line that is perpendicular to through point. and passes

2 14.If is tangent to. in the diagram below, prove that 18.Name each vector shown in the diagram below. Identify the terminal points of each vector, if applicable. E H F G 15.Is parallel to in the diagram below? 3 S 1 Q 19.Find in the figure below, given that is a tangent. P 4 T 2 R In quadrilateral shown below,. Is a parallelogram? and ( ) 20.Is the parallelogram below a rhombus if? Explain. 17.Find the lateral area of the cylinder shown below in terms of. 6 ft 5x ft

3 Geometry umulative Study Guide Test 13 nswer Section NUMERI RESPONSE 1. NS: 36 REF: Lesson 22: Finding reas of Quadrilaterals MS: Geom_S03_ NS: 6336 REF: Lesson 35: Finding rc Lengths and reas of Sectors MS: Geom_S04_ NS: 8.5 REF: Lesson 44: pplying Similarity NT: NTM G.1b TOP: umulative Test 13 MS: Geom_S05_ NS: 27 REF: Lesson 49: Introduction to Solids NT: NTM G.1a TOP: umulative Test 13 MS: Geom_S05_ NS: 12.9 REF: Lesson 51: Properties of Isosceles and Equilateral Triangles NT: NTM G.1a TOP: umulative Test 13 MS: Geom_S06_ NS: 192 REF: Lesson 59: Finding Surface reas and Volumes of Prisms MS: Geom_S06_00069 PROLEM 7. NS: If etty takes a vacation, she goes swimming. The Law of Syllogism is used. The first statement is of the form If p, then q. The second statement is of the form If q, then r. The conclusion follows, If p, then r. REF: Lesson 21: Laws of etachment and Syllogism NT: NTM RP.1d TOP: umulative Test 13 MS: Geom_S03_ NS: Use the Pythagorean Theorem. It is a right triangle by the Pythagorean Theorem.

4 4 REF: Lesson 33: onverse of the Pythagorean Theorem MS: Geom_S04_ NS: REF: Lesson 37: Writing Equations of Parallel and Perpendicular Lines NT: NTM.4 TOP: umulative Test 13 MS: Geom_S04_ NS: a = 12; b = 30 REF: Lesson 41: Ratios, Proportions, and Similarity NT: NTM G.1b TOP: umulative Test 13 MS: Geom_S05_ NS: a = 7; b = 16 REF: Lesson 55: Triangle Midsegment Theorem NT: NTM G.1d TOP: umulative Test 13 MS: Geom_S06_ NS: square inches REF: Lesson 56: Right Triangles MS: Geom_S06_ NS: 8 5 REF: Lesson 57: Finding Perimeter and rea with oordinates NT: NTM G.2b TOP: umulative Test 13 MS: Geom_S06_ NS: To show that is tangent to, it has to be shown that is a right angle. From the diagram, is an isosceles triangle, so. The acute angles of a right triangle are complementary, so both and are angles. y the ngle ddition Postulate,. Substituting shows that, so is a right angle. Therefore, by Theorem 58-2, is tangent to. REF: Lesson 58: Tangents and ircles, Part 1 MS: Geom_S06_ NS: is not parallel to, because does not divide and proportionally. REF: Lesson 60: Proportionality Theorems MS: Geom_S06_ NS:

5 5 The diagonal creates and. Since, the alternate interior angles and are congruent. is congruent to itself by the Reflexive Property of ongruence. Therefore, by the S Triangle ongruence Theorem. y PT, and. Since both pairs of opposite sides of are congruent, it is a parallelogram. REF: Lesson 61: etermining If a Quadrilateral is a Parallelogram MS: Geom_S07_ NS: square feet REF: Lesson 62: Finding Surface reas and Volumes of ylinders MS: Geom_S07_ NS:,, with terminal point, and with terminal point REF: Lesson 63: Introduction to Vectors NT: NTM NO.3a TOP: umulative Test 13 MS: Geom_S07_ NS: REF: Lesson 64: ngles Interior to ircles NT: NTM G.1d TOP: umulative Test 13 MS: Geom_S07_ NS: Yes, the side measures 11 units and is congruent to the side that measures 11 units. REF: Lesson 65: istinguishing Types of Parallelograms NT: NTM G.1a TOP: umulative Test 13 MS: Geom_S07_00082