Geometry Unit 8 Corrective 2
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- Rodney Hutchinson
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1 ompetency 1: Ratio and Proportion pplications 1. Given the diagram: L M 10 N Q If LM = LN, what is MQ? MQ NP 2 2. Use the number line below to find the ratio of distance for G EF. P E F G a. While building a porch, Kim uses 28 nails for every 8 two by fours. How many two by fours did she use if she used 10 nails? (Round to the nearest whole number). b. Melissa has scanned a picture into her computer. She wants to make the ratio of height to width to be 3: 5. If the height is 7 inches, what will the width be to the nearest tenth? c. Shuffleboard in the shape of an equilateral triangle has a perimeter of 30 feet. Using the scale of mm = 1 foot a, what is the perimeter of a scale drawing of the shuffleboard triangle? 5. What is the simplified conversion to the nearest thousandth (if applicable)? 15 miles 1 knot 60 min 30 minutes miles 1 hour 3. 3-pound bag of blow pops costs $.75 and a 5-pound bag of blow pops costs $5.85. Which is the better buy? Justify your answer. ompetency 2: Similarity 6. The quadrilaterals below are similar. omplete the similarity statement:. What is the corresponding similarity ratio? Revised 12/10/2012 page 1 of 6 Printed 12/10/2012
2 7. Given ~ EFGH. 9. Given the diagram below: 3 y K 2 F 10 G 20 E L z E H 6 What is the value of the variables? Which postulate is sufficient to prove E EKL? a. SSS b. SS c. d. SS 8. Given where EF : Given the diagram below: 26 E F 3 What is the value of? Which postulate is sufficient to prove RSQ RQT? a. SSS b. SS c. d. SS Revised 12/10/2012 page 2 of 6 Printed 12/10/2012
3 ompetency 3: Scale Factor 11. Figure is dilated as shown on the graph below. 13. Triangle E is the image of E after a dilation. What is the value of and y? ' ' 5 10 ' -2 ' ' ' y E' -8 8 Which statement is true about the area of the figure after the transformation? 6 E. One siteenth the original area. Siteen times the original area. One fourth the original area. Four times the original area 12. Triangle M N O is the image of MNO after a dilation. 1. regular polygon has an area of 16 square meters. If the similarity ratio of this pentagon to a similar polygon is :9, then what is the area of the other polygon? N 27 M M' N' O' O HINT Similarity Ratio Perimeter ratio rea ratio 15. The ratio of the areas of two squares is 16:25. The smaller square has a perimeter of 6 centimeters. What is the perimeter of the larger square? What is the scale factor? M'N'O' MNO = What is the value of M N? HINT Similarity Ratio Perimeter ratio rea ratio Revised 12/10/2012 page 3 of 6 Printed 12/10/2012
4 ompetency : Geometry P 16. is an isosceles trapezoid. What is the length of? (this problem may use any quadrilateral) What is the image after a 90 o clockwise rotation? Label the image. 19. Which of the following is always true? a. trapezoid has two pair of parallel sides b. quadrilateral has two pair of parallel sides c. rhombus has two pair of parallel sides d. kite has two pair of parallel sides 20. Which Venn diagram show the correct relationship between a,,, and? Using the drawing below:.. What is the image of after a rotation of 90 o clockwise and a reflection across the y-ais? Label the image. Revised 12/10/2012 page of 6 Printed 12/10/2012
5 ompetency 5: lg P - Systems of Equations Solve the following system of equations by graphing. ompetency 6: Radical/Square Root Review 26. Simplify: y = y = Simplify: lgebraically solve each system of linear equations y = y = 2 y = y = Which is the best approimation for 63? etermine if the following pairs of linear equations are parallel, perpendicular, coincident, or intersecting at one point, but not perpendicular y = y = Which is the best approimation for 16 5? Simplify: y = y = 8 Revised 12/10/2012 page 5 of 6 Printed 12/10/2012
6 1. MQ = The 5-pound bag of blow pops is the better buy. The 5-pound bag of blow pops for $5.85 cost $1.17 per pound. The 3-ound bag of blow pops for $.75 cost approimately $1.58 per pound. ' '. a. 30 two by fours b inches c. 120 mm 18. ' knots per hour 6. ~MNLP ; similarity ratio 2 3 " 7. = 15 2 or 1 7 2, y = 9 2 or 1 2, z = 8 8. = 51 2 or or a 10. c 11. a 12. M N = 6 M'N'O' 2 = MNO = 10, y = square meters centimeters 16. = 9 ( = 2) 19. c 20. a 21. (2,1) 22. (2,2) 23. (2,5) 2. coincident 25. perpendicular " " " Revised 12/10/2012 page 6 of 6 Printed 12/10/2012
Geometry Unit 8 Corrective 1
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