Geometry Agenda. Week 4.6 Objective Stamp Grade. Similar Polygons. Practice. Proving Triangles Similar. Practice. Practice

Transcription

1 Name Period Geometry Agenda Week.6 Objective Stamp Grade Monday February 8, 2016 Tuesday February 9, 2016 Wednesday February 10, 2016 Thursday February 11, 2016 Friday February 12, 2016 Similar Polygons Practice Proving Triangles Similar Practice Using Proportional Relationships Practice Similarity in Right Triangles Practice Proportions in Triangles Practice First Things First Average

2 Warm Up Monday Tuesday Wednesday Thursday Friday

3 Geometry: Unit 8 Proportions and Similar Polygons Practice Proportions and Similar Polygons pp -9 Name Date Period Solve each of the following proportions for the missing variable y 2 y Write a proportion for the given situation and solve for the missing variable.. During the 200 NFL season, the Dallas Cowboys won 10 of their 16 regular-season games. What is their ratio of wins to losses in simplest form?. The ratio of the side lengths of an isosceles triangle is ::7 and its perimeter is 90cm. What is the length of the base of the triangle? 6. Given that y 2, find the ratio of to y in simplest form. Determine if the answer is always, sometimes or never true. A. B. C. 7. Two squares are similar. 8. If two polygons are congruent then they are also similar. 9. If two polygons are similar, then they are also congruent.

4 Geometry: Unit 8 Proportions and Similar Polygons Use the properties of similar triangles to answer the following questions. 10. The ratio of the perimeter of rectangle ABCD to the perimeter of rectangle EFGH is :7. Find. A B E F D C H G 11. Given WXYZ LPNM, determine the missing information. A. m Y Z B. X C. b. D. If WZ 12, then a = W 6 X c b Y N P 2 L a M 12. ABC DEF. The scale factor of ABC to DEF is 7. A. If AB = 1, then DE =. B. If EF = 2, then BC =. 1. Find the coordinates of B so that ABC DEF. y y 6 6 F E 2 2 C 1 D A Determine if DOG CAT given that DG, GO 10, DO 8 AT 12, CT 6 and AC 1. Why or why not?

5 Student Practice Proving Triangles Similar Name:

6 Statements GHJ~ MLK Reasons Given If two sides of a triangle are congruent then the angles opposite are congruent. Given

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8 Using Proportional Relationships SP 1. How could you use indirect measurement to find the height of the flagpole at your school? 2. Your friend determined that at point S, the measure of the angle from the ground to the top of a tree at point T is the same as the measure of the angle from the ground to the top of a rock formation at point R. Write an epression, in terms of y, for the height of the rock formation, in meters.. Irene places a mirror on the ground 2 ft from the base of an oak tree. She walks backward until she can see the top of the tree in the middle of the mirror. At that point, Irene s eyes are. ft above the ground, and her feet are ft from the mirror. How tall is the oak tree? Eplain.

9 Geometry- Similarity in Right Triangles SP For #1- Find the geometric mean: 1. a= b=12 2. a= b=6. a= b=1. a=1 b=6 For #-6 Find :. 12 is the geometric mean of 6 and is the geometric mean of and.

10 Geometry- Similarity in Right Triangles SP For #7-10 Find : Leave answer in simplest radical form

11 Geometry: Proportions in Triangles SP Practice Proportions in Triangles pp Name Date Period Write a proportion, then solve for the variable Use the triangles to the right.. Assume that BAC DCE. What additional information would you need to prove that ABC CDE by AA~? AB CD. Assume that. What additional information BC DE would you need to prove that ABC CDE by SAS~? B D A C E. Find the value of y. 6. Find the value of. 1 y In a new subdivision, three trapezoidal lots are 12 ft across the front. The lot lines on the side are all perpendicular to the front. Find the length of the property line across the back of each lot. 20 ft Lot A Lot B Lot C 12 ft 12 ft 12 ft Write a proportion, then solve for the variable p k ) ) Write a proportion, then solve for the variable

12 Geometry: Proportions in Triangles SP Is line p parallel to line q? (YES OR NO) A. B. C p q 6 2 p q p q Write a proportion, then solve for the variable. 1. B D E A C 6 12 Write a proportion and solve. Given 17. AC = 8, CD =, AH = 1. Find AG and GH. ADH, DF bisects ADH and p q r. A B E p 18. AF = 6, FH = 8, AC = 7, DH = 1. Find CD. C F G q 19. AD = 12, DH = 1, FH = 8. Find AF. D H r