3 rd Six Weeks

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2 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Nov Angle Measures in Polygons Class: Wksht #1 rd Si Weeks Properties of Parallelograms Class: Wksht # - Proving Parallelograms Class: Wksht # - Proving Parallelograms Class: Wksht # Quiz Chapter sections 1- Class: Review HW: Watch video -, take notes HW: Watch video -, take notes HW: Complete classwork HW: Complete Classwork HW: Watch video - /-5, take notes /-5 Rhombus, Rectangles, and Squares HW:Review for Test Test #7 HW: Watch Video -, Take Notes - Trapezoids and Kites HW: Watch video Guess the quad, take notes - Trapezoids and Kites HW: Watch video Guess the quad, take notes Guess the Quadrilateral Quiz Finish Guess the quad 5 7 Review Turn in Guess the quad Test #8 Thanksgiving Thanksgiving Thanksgiving HW: Review 0 Dec 1 Chapter Intro to Proportions -1 Similar Polygons - Proving Triangles Similar - Proving Triangles Similar -5 Proportions in Triangles HW: Watch video -1, Take Notes HW: Watch Video -, take notes HW: Watch Video -5, take notes HW: Watch Video -5, take notes HW: Complete classwork, start review Review HW: Study Review Test # Final Eam Review Scavenger Hunt Final Eam Review Scavenger Hunt Final Eam Review Final Eam Review FINAL EXAMS FINAL EXAMS FINAL EXAMS FINAL EXAMS

3 Problems of Proportional Difficulty Solve each proportion for. Do the work on your own sheet of paper, only record your answers on here. 1) 18 7 ) 5 5 ) ) 5 5) 7 ) 8 5 7) ) ) 10) ) 1) 1 5 Find all the solutions for. (The following problems are quadratics.) 1) 1 1) 1 15) 1) 7 17) 18) 1) 1 0) 5 1) 5 15 Solve the following problems ) On a map the scale is 1.5 inches to 5 miles. If the distance measured on the map from one town to another is 10.5 inches, then how many miles is the distance between towns? ) A picture is inches by inches, and Amy wants to make an enlargement at a ratio of :5. What are the measurements of the enlargement? ) A model airplane of a P-8 Lightning is made at a scale of 1:8 inches. If the wing span of the model is 5 inches what is the measure of the wing span of the real plane in feet? 5) Mr. Schroeder s Mazda get.5 miles to a gallon of gasoline. If he needed to drive 0 miles oneway how much gas would he need, and if gas is $1. a gallon how much money for gas would he need for a round trip. ) The ratio of the measures of three sides of a triangle is ::, and its perimeter is 10 inches. Find the measure of each side of the triangle. 7) In a triangle, the ratio of the measures of the three angles is :5:8, and its total angle measures is 180 degrees. Find the measure of each angle in the triangle. Page 1

4 -1 Eploring Similar Polygons Name If quadrilateral ABCD is similar to quadrilateral EFGH, find each of the following. 1) Scale factor of ABCD to EFGH? ) EF = ) FG = ) GH = 5) Perimeter of ABCD? A ) Perimeter of EFGH? 8 5 B 1 E H z G y F 7) Ratio of perimeter of ABCD to EFGH? 0 C Each pair of polygons is similar. Find the values of and y. 8) ) y y 10) Triangle ABC is similar to triangle DEF find the value of and y. What is the sum of the perimeters of the triangles? B 8 y D A 1 C E 1 F 11) Quadrilateral ABCD is similar to quadrilateral EFGH. Find the value of, y, and z. What is the perimeter of each figure? z B C 5 F y G A 8 D E H 1) For the figures above, the sum of the measures of A and C equals the sum of the measures of which two angles of quadrilateral EFGH? 1) Two rectangles are similar. The length of small rectangle is and the length of the big rectangle is 1. If the perimeter of the smaller rectangle is 8, then what is the perimeter of the larger rectangle? 1) If two similar polygons have the perimeter of and 1 inches. If the length of the side of the larger rectangle is inches, then what is the product of the lengths of the polygons? Page

5 15) The ratio of the height of CDE to the height of similar triangle FGH is :5. The perimeter of FGH is 5 cm. Find the perimeter of CDE. 1) If two parallelograms are similar with a ratio of 1: and the side of smaller one is 8 inches, what is the measure of side of the other parallelogram? 17) A rectangle is 8 feet long and feet wide. If model of the rectangle was made smaller by a ratio of 1:, then what would the perimeter of the model be? What is the scale factor of the following similar figures? What would be the scale factor of the similar figures perimeter? 18) 1) 0) m 0 m 1.5 ft.5 ft cm cm 1) ) ) ) Page

6 - Part A Practice Similar Triangles State whether each pair of triangles is similar by AA Similarity, SSS Similarity, SAS Similarity. If none of these apply write N. 1) ) ) ) 5) 7 ) ) 8) ) ) 11) 1) ) 1) Page

7 Identify Which property will prove these triangles similar (AA similarity, SAS Similarity, SSS Similarity) 15) 1) 17) 1 18) 1) 0) 1) ) ) ) 5) ) Page 5

8 - Part B Similar Triangles PAP Page

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10 o o o o 5.. Page 8

11 -5 Use Proportionality Theorem Name Page

12 Use the figure below to answer questions 0-. AB ll CD ll EF. (Look for the triangles, or corresponding parts) A z H G B 0) Find. 1) Find y. C y I 1 r D 18 ) Find r. ) Find z. E F For -, use ACE below to find so that DB ll AE. ) ED 8, DC 0, BC 5, AB, = E D A B C 5) BC 1, AB, ED 8, DC, = ) ED 5, DC 15, CB 18, AB, = 7) Find the value of and y. = y= Refer to the figure below for problems 7 and 8. Determine whether it is always true that AB ll YZ under the given conditions. Answer yes or no, and be able to prove why it is yes or no. 8) XA AY XB 8 BZ 5 ) XB BZ AB YZ 10 X A Y B Z Page 10

13 REVIEW for Test # Pre-AP Name: Period Show all work to receive credit. Leave answers as an improper fraction. Solve for n 8 n. Determine whether the two triangles are similar. If yes, state the reason that justifies your answer (AA~,SAS~,SSS~) In problems and 10, use the following diagram. AB AC AG and AF AB AG CD FE 11. What is the length of AB? 10. What is the perimeter of ACF? Page 11

14 11. Proportion for = 1. Proportion for = 1. In XYZ, the measures of the angles are in the etended ratio of 5::7. What are the measures of each angle? Page 1

15 1. Find AB. 17. Find the value of Your softball team can sell 150 candy bars in 5 days to raise money for new uniforms, at this rate, how many can you sell in weeks? 1. What is the measure of one eterior angle of a regular heptagon?. Mike can write pages of his final paper for history class in 1.5 hours. At this rate, how long will it take Mike to complete hi page paper? Page 1