Geometry Cumulative Study Guide Test 7

Transcription

1 Geometry umulative Study Guide Test 7 Numeric Response 1. etermine the area of in square centimeters. X Name: ate: Period: 8. For, determine the measure of. 5 cm Z 3 cm 2. Find the area, in square inches, of a circle with a radius of 6 inches. Use 3.14 for. Y For the following statements, use the Law of etachment to write a valid concluding statement. 3. In,. Find. 10.Find the area of a parallelogram with a height of 8y and a base of 3. Problem 4. etermine the midpoint of the line segment with endpoints (4, 2) and (5, 4). 11.The area of a rectangular photograph is 40 square inches. The photograph s length is inches, and the photograph s width is inches. Find the dimensions of the photograph. Provide a justification for each step. 5. onsider the following conjecture. If the product of two numbers is negative, then both numbers are negative. What is the hypothesis of the conjecture? What is its conclusion? Find a countereample to the conjecture. 12.What is? etermine whether polygon FG is conve or concave. Eplain. G F 13.Prove Theorem 5-4: If two lines are perpendicular, then they form congruent adjacent angles etermine the contrapositive of the statement below. : and Prove: form a linear pair

2 ( 2 14.etermine whether the pair of triangles is congruent by the SS Postulate. ) 15.Find the unknown length in the triangle below. o the side lengths form a Pythagorean triple? 3 cm 19 cm 18. Find the value of in the triangle below. Write your answer in simplified radical form. 16.Use S congruence to determine the measures of the sides of banner is shaped like a parallelogram with a diagonal of 3 feet, as shown. alculate the values of and y to the nearest hundredth Use the given flowchart to write a twocolumn proof. 9 5 : and are complementary. and are complementary. (6y 7) 3 ft 2 Prove: (4y 6) 20. Find the arc length L of a circle with a radius of 6 feet and an arc measure of 120. Give the answer in terms of.

3 3 Geometry umulative Study Guide Test 7 nswer Section 6. NS: oncave. NUMERI RESPONSE PROLEM 1. NS: 7.5 REF: Lesson 13: Introduction to Triangles Geom_S02_ NS: REF: Lesson 23: Introduction to ircles Geom_S03_ NS: 8 REF: Lesson 32: ltitudes and Medians of Triangles NT: NTM G.1d 4. NS: (4.5, 1) REF: Lesson 11: Finding Midpoints NT: NTM G.1d Geom_S02_ NS: Hypothesis: The product of two numbers is negative. onclusion: oth numbers are negative. Sample countereample: REF: Lesson 14: isproving onjectures with ountereamples NT: NTM RP.1b Geom_S02_00092 REF: Lesson 15: Introduction to Polygons NT: NTM G.1a 7. NS: REF: Lesson 17: More onditional Statements NT: NTM RP.1c Geom_S02_ NS: 115 REF: Lesson 18: Triangle Theorems NT: NTM G.1d Geom_S02_ NS: Geom_S04_00055 Therefore, REF: Lesson 21: Laws of etachment and Syllogism NT: NTM RP.1b Geom_S03_ NS: 24y REF: Lesson 22: Finding reas of Quadrilaterals Geom_S03_ NS: The formula for the area of a rectangle is, so,, and.

4 4 rea formula for a rectangle Substitution istributive Property Symmetric ivision Subtraction Factor There are two solutions to this factorization, = 2 and. However, = 2 gives a negative length, so it is thrown out. Therefore, ddition Substitute into the epressions for length and width of the rectangle to find the dimensions. length = inches = inches = 8 inches width = inches = inches = 5 inches Therefore, the photograph is 8 inches long and 5 inches wide. REF: Lesson 24: lgebraic Proofs NT: NTM G.1a Geom_S03_ NS: 150 REF: Lesson 26: entral ngles and rc Measure NT: NTM G.1a 13. NS: Statements Reasons is a right angle 2. efinition of perpendicular lines efinition of a right angle 4. and form a linear pair Linear Pair Theorem Substitution Subtraction Substitution efinition of congruent angles Symmetric ongruence REF: Lesson 27: Two- olumn Proofs NT: NTM G.1c Geom_S03_ NS: REF: Lesson 28: Triangle ongruence: SS NT: NTM G.1b 15. NS: = 370 REF: Lesson 29: Using the Pythagorean Theorem NT: NTM G.1d 16. NS: Geom_S03_00090 ; ;

5 5 REF: Lesson 30: Triangle ongruence: S and S NT: NTM G.1b 17. NS: Statements Reasons 1. and are complementary and are complementary efinition of complementary angles efinition of complementary angles Subtraction Subtraction Substitution efinition of congruent angles 20. NS: Geom_S03_00103 REF: Lesson 35: Finding rc Lengths and reas of Sectors NT: NTM G.1a REF: Lesson 31: Flowchart and Paragraph Proofs NT: NTM RP.1d Geom_S04_ NS: 2 5 REF: Lesson 33: onverse of the Pythagorean Theorem NT: NTM G.1d 19. NS: = 1.73; y = 10.3 REF: Lesson 34: Properties of Parallelograms NT: NTM G.1d Geom_S04_00073 Geom_S04_00078