Unit 9 Study Guide Multiple hoice (2 points) Identify the choice that best completes the statement or answers the question. Find the perimeter of each rectangle. 1. 38 m 18 m a. 684 m c. 56 m b. 94 m d. 112 m Find the area of each rectangle. 2. 11 ft 28 ft a. 616 ft 2 c. 78 ft 2 b. 39 ft 2 d. 308 ft 2 3. lassify the triangle by its angles and by its sides. a. obtuse isosceles c. acute isosceles b. acute scalene d. right isosceles 4. Identify an obtuse isosceles triangle.
a. c. b. d. 5. In the figure below, and t is a transversal. If, find the measure of. t g 8 1 2 7 h 6 3 4 5 a. 109 c. 113 b. 71 d. 66 Find the area of the figure. 6. 6.9 ft 4.1 ft a. c. b. d.
19 m 17 m 7. 23 m a. c. b. d. Find the circumference of each circle. Round to the nearest tenth. 8. 5.5 m 9. a. c. b. d. 2.3 yd a. c. b. d. Find the area of the circle. Round to the nearest tenth. 10. 14 m a. c.
11. b. d. 6 cm a. c. b. d. 12. What is the area of the composite figure that is formed using a rectangle with length 14 centimeters and width 20 centimeters, and a semicircle with a diameter of 14 centimeters. Round to the nearest tenth, if necessary. a. b. c. d. Short nswer (5 points) Show all work to receive full credit. 13. Triangle has angles whose measures are in the ratio 3:4:11. What are the measures of the angles? 14. Find if and are supplementary, and
15. Find the area of the building lot shown below: 16. Richie is building a model of a paintball arena to show to his boss. If he likes the layout and and the model is cost effecient, his boss will finance the building of it. Find the cost of creating the paintball arena if one square centimeter of the arena costs $10. 17. The diameter of a wheel of cheese is 10 in. What is the distance the cheese rolls in 6 rotations? Round your final answer to the nearest tenth.
For #19-22, use the correct formula to find the measure of the unknown side shown in the drawing. 18. If the rea of the shape is 120 m 2, find the measure of the height. 19. If the ircumference is 255 inches, find the measure of the radius. Round your final answer to the nearest tenth. 20. If the rea of the shape is 355 ft 2, find the measure of the height.
21. If the Perimeter of the shape is 642 ft, find the measure of the length. 22. omplete the table below by using the formulas, where = Temperature in elsius and, where F = Temperature in Fahrenheit. Temperature ( F) -25 Temperature ( ) 100. Essay (10 points) Show all work to receive full credit. 4 5 6 8 7 s 1 2 3 p q 23. Identify a pair of the following angles from the picture above: a. adjacent: supplementary:
vertical: corresponding: alternate interior: alternate exterior: b. If m 2 is 132 o, identify the measure and relationship of 6 and 8 to the m 2. m 6 = relationship m 8 = relationship
Unit 9 Study Guide nswer Section MULTIPLE HOIE 1. NS: The perimeter of a rectangle is found by adding the measurements of all four sides together. So because a rectangle has pairs of opposite sides equal, multiply each side by two and find the sum of the two products. Is this the perimeter or the area? id you remember to account for all four sides of the rectangle? id you remember the opposite sides of the rectangle? PTS: 1 IF: asic REF: Lesson 3-8 OJ: 3-8.2 Solve problems involving the perimeters of rectangles. NT: N 2 N 6 N 9 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.8.8. P 2.3.8. TOP: Solve problems involving the perimeters of rectangles. KEY: Perimeter Rectangles 2. NS: The area of the rectangle is the length times the width. Should you double the product of the length and width? Should you add or multiply the length of the sides? Is this the perimeter or the area? PTS: 1 IF: asic REF: Lesson 3-8 OJ: 3-8.3 Solve problems involving the areas of rectangles. NT: N 2 N 6 N 9 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.8.8. P 2.3.8. TOP: Solve problems involving the areas of rectangles. KEY: rea Rectangles 3. NS: In an acute triangle all the angles are acute. n obtuse triangle has one obtuse angle. right triangle has one right angle. scalene triangle has no congruent sides. n isosceles triangle has at least two sides congruent. n equilateral triangle has all three sides congruent. id you consider the angle measures and the number of congruent sides? id you consider the number of congruent sides and the angle measures? id you consider the angle measures and the number of congruent sides? PTS: 1 IF: verage REF: Lesson 9-3 OJ: 9-3.2 lassify triangles by properties and attributes. NT: N 1 N 3 N 4 N 8 N 2 ST: P 2.3.8. P 2.5.8. P 2.10.8. P 2.3.8. TOP: lassify triangles by angles and by sides. KEY: Triangles lassify Triangles
4. NS: In an acute triangle all the angles are acute. n obtuse triangle has one obtuse angle. right triangle has one right angle. scalene triangle has no congruent sides. n isosceles triangle has at least two sides congruent. n equilateral triangle has all three sides congruent. id you check the types of angles? id you check the types of angles and congruent sides? id you check the types of angles and congruent sides? PTS: 1 IF: verage REF: Lesson 9-3 OJ: 9-3.2 lassify triangles by properties and attributes. NT: N 1 N 3 N 4 N 8 N 2 ST: P 2.3.8. P 2.5.8. P 2.10.8. P 2.3.8. TOP: lassify triangles by angles and by sides. KEY: Triangles lassify Triangles 5. NS: If two parallel lines are cut by a transversal, then the following pairs of angles are congruent. orresponding angles are congruent. lternate interior are congruent. lternate exterior are congruent. Is that angle congruent or supplementary to 4? What is that angle s relationship to 4? Is that angle congruent or supplementary to 4? PTS: 1 IF: verage REF: Lesson 10-1 OJ: 10-1.1 Identify the relationships of angles formed by two parallel lines and a transversal. NT: N 6 ST: P 2.5.8. P 2.5.8. P 2.5.8. P 2.5.8. TOP: Identify the relationships of angles formed by two parallel lines and a transversal. KEY: Parallel Lines Transversal ngle Relationships 6. NS: If a parallelogram has a base of b units and a height of h units, then the area is bh square units. e careful when evaluating after substitution. id you use the formula for the area of a triangle? What is the formula for the area of a parallelogram? PTS: 1 IF: asic REF: Lesson 10-6 OJ: 10-6.1 Find areas of parallelograms. NT: N 2 N 6 N 8 N 9 N 3 ST: P 2.9.8. TOP: Find areas of parallelograms. KEY: rea Parallelograms 7. NS: If a triangle has a base of b units and a height of h units, then the area is square units.
What is the formula for the area of a triangle? id you use the formula for a parallelogram? e careful evaluating after substitution of values into the formula. PTS: 1 IF: asic REF: Lesson 10-6 OJ: 10-6.2 Find the areas of triangles. NT: N 1 N 4 N 6 N 7 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.3.8. TOP: Find the areas of triangles. KEY: rea Triangles 8. NS: The circumference of a circle is equal to its diameter times, or 2 times its radius times. id you round to the nearest tenth? e careful with multiplication. What is the formula for the circumference when the diameter is known? PTS: 1 IF: asic REF: Lesson 10-7 OJ: 10-7.1 Find circumference of circles. NT: N 1 N 4 N 6 N 10 N 3 ST: P 2.3.8. P 2.5.8. P 2.3.8. TOP: Find circumference of circles. KEY: ircles ircumference 9. NS: The circumference of a circle is equal to its diameter times, or 2 times its radius times. id you round to the nearest tenth? e careful with multiplication. What is the formula for the circumference when the radius is known? PTS: 1 IF: verage REF: Lesson 10-7 OJ: 10-7.1 Find circumference of circles. NT: N 1 N 4 N 6 N 10 N 3 ST: P 2.3.8. P 2.5.8. P 2.3.8. TOP: Find circumference of circles. KEY: ircles ircumference 10. NS: The area of a circle is equal to times the square of the radius. id you find the circumference? id you round to the nearest tenth? e careful with multiplication. PTS: 1 IF: verage REF: Lesson 10-7 OJ: 10-7.2 Find area of circles. NT: N 1 N 4 N 6 N 7 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.9.8.G P 2.3.8. TOP: Find area of circles. KEY: ircles rea 11. NS: The area of a circle is equal to times the square of the radius.
id you round to the nearest tenth? id you find the circumference? e careful with multiplication. PTS: 1 IF: verage REF: Lesson 10-7 OJ: 10-7.2 Find area of circles. NT: N 1 N 4 N 6 N 7 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.9.8.G P 2.3.8. TOP: Find area of circles. KEY: ircles rea 12. NS: Find the area of the two figures using appropriate formulas, then add the two areas together. id you round to the nearest tenth? id you forget to square the radius in the semicircle formula? id you use the correct formulas? PTS: 1 IF: verage REF: Lesson 10-8 OJ: 10-8.1 Find area of composite figures. NT: N 1 N 4 N 6 N 7 N 3 ST: P 2.3.8. P 2.3.8.E P 2.5.8. P 2.9.8.G P 2.3.8. TOP: Find area of composite figures. KEY: rea omposite Figures SHORT NSWER 13. NS: 30, 40, 110 The sum of the measures of the angles of a triangle is 2 points for work 3 points for answer Total: 5 points PTS: 1 IF: asic REF: Lesson 9-3 OJ: 9-3.3 Solve multi-step problems. TOP: Solve multi-step problems. KEY: Multi-step Problem Solving 14. NS:, 90 If the sum of the measures of two angles is, the angles are supplementary. 3 points for x 1 point per angle Total: 5 points PTS: 1 IF: asic REF: Lesson 10-1 OJ: 10-1.2 Solve multi-step problems.
TOP: Solve multi-step problems. 15. NS: 100 cm2 KEY: Multi-step Problem Solving 3 points for work 2 points for answer Total: 5 points PTS: 1 IF: verage REF: Lesson 10-6 OJ: 10-6.4 Solve multi-step problems. TOP: Solve multi-step problems. KEY: Multi-step Problem Solving 16. NS: 12 cm2 $120 2 points for area 2 points for work 1 point for cost Total: 5 points PTS: 1 IF: dvanced REF: Lesson 10-6 OJ: 10-6.4 Solve multi-step problems. TOP: Solve multi-step problems. KEY: Multi-step Problem Solving 17. NS: circumference: 78.5 cm distance: 471 cm 2 points for circumference 2 points for work 1 point for distance Total: 5 points PTS: 1 IF: verage REF: Lesson 10-7 OJ: 10-7.3 Solve multi-step problems. TOP: Solve multi-step problems. KEY: Multi-step Problem Solving 18. NS: 6 m PTS: 1 19. NS: 40.6 inches PTS: 1 20. NS: 28.4 ft PTS: 1 21. NS:
209 ft. PTS: 1 22. NS: = 31.7 degrees F = 212 degrees Use the given formula to solve the problem. 2 points a piece -SG Total: 10 points PTS: 1 IF: dvanced REF: Lesson 3-8 OJ: 3-8.5 Solve problems and show solutions. KEY: Problem Solving Show Solutions TOP: Solve problems and show solutions. ESSY 23. NS: Sample nswer: 4 5 6 8 7 s 1 2 3 p q angle 6 = 132 degrees, corresponding angle 8 = 132 degrees, alternate exterior part a 1 point per term part b 2 points for relationships 2 points for measures PTS: 1 IF: dvanced REF: Lesson 10-1 OJ: 10-1.3 Solve problems and show solutions. KEY: Problem Solving Show Solutions TOP: Solve problems and show solutions