Unit6_Workbook.doc

# Anticipation guide before statement after agree

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Anticipation Guide Before Statement After Agree Disagree Agree Disagree In a triangle, I can calculate the length of the third side if I know the length of the other two sides. All triangles are similar. All squares are similar. When I enlarge a geometric shape, the number of degrees in each angle will become larger. Match the triangle with the names listed. a. 1. Scalene triangle b. 2. Isosceles triangle c. 3. Right triangle d. 4. Equilateral triangle 6 - 2

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MFM2P Date: ______________ Unit 6: Similar Triangles Triangle Reference Type of Triangle Properties Diagram Equilateral triangle Isosceles triangle Right triangle Scalene triangle Pre-Investigation Determine the length of the missing side. Determine the measures of the interior angles. 6 - 3 4 cm 6 cm x HINT: Pythagorean Theorem is __________________________ 32⁰ HINT: Sum of interior angles is __________________________
MFM2P Date: ______________ Unit 6: Similar Triangles Investigate In what ways are these two items similar or different? Similarities Differences Investigate: What Is Similarity? 1. a) On your geoboard create a right-angled triangle with the two perpendicular sides having lengths 1 and 2 units. b) Create two more triangles on your geoboard that are enlargements of the triangle created in a). 2. Draw the three triangles using different colours on the grid and label the vertices, as indicated: triangle one (label vertices ABC) triangle two (label vertices DEF) triangle three (label vertices GHJ) 3. Determine the lengths of the hypotenuse of each of the triangles. Indicate the lengths on the diagram. ABC DEF GHJ 6 - 4

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MFM2P Date: ______________ Unit 6: Similar Triangles 4. a) Place ABC, DEF, and GHJ on the geoboard so that the one vertex of each triangle is on the same peg and two of the sides are overlapping. b) Copy your model on the grid. 5. a) What do you notice about the corresponding angles of ABC, DEF, and GHJ? b) What do you notice about the corresponding sides of ABC, DEF, and GHJ? Summary I know the following about similar triangles: 6. Use the geoboards to explore whether the following triangles are similar. a) b) c) Explain your reasoning. Explain your reasoning. Explain your reasoning. 6 - 5
MFM2P Date: ______________ Unit 6: Similar Triangles 6.1 What is Similarity? PRACTICE 1. Which of the following four houses are similar? Explain why. Label the diagrams. 2. On the grid, draw a house that is similar to one of the figures. Complete the following statement: The house I drew is similar to house #______. I know this because: 3. Calculate the length of the missing side. Round to 1 decimal place, if necessary.
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