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3.3 Constructions of Equilateral Triangles and Isosceles Right Triangles
TSWBAT: Construct equilateral and isosceles right triangles
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What do you know about the angles of an equilateral triangle?
Click to view construction Draw a segment AB.
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1. Mark a point P that will become one vertex of a triangle
2. Set the compass width to the desired length AB 3. From P, draw an arc near both the other vertices (corners) 4. Mark a point Q on either arc to be the next vertex. 5. Without changing the width, move to Q and draw an arc across the other, creating R. 6. Connect P, Q and R.
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Equilateral Triangle Practice
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An Isosceles Triangle Draw 2 segments AB and CD (CD will be the base)
Click to view construction
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1. Mark a point P that will become one vertex of a triangle
2. Set the compass width to CD 3. From P, draw an arc 4. Mark a point R on the arc, PR will be the base of the triangle. 5. Connect P and R 6. Set the compass width to AB - the side length. 7. From P and R, make 2 arcs to make point Q. 8. Connect P, Q and R.
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Isosceles Triangle Practice
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An Isosceles Right triangle is... a right triangle with congruent legs
Angle measurements would be 45, 45 and 90. leg hypotenuse Click to view construction
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1. Draw the line PQ to be one leg of the triangle
2. Create a perpendicular bisector 3. Label the midpoint R, and set the compass width to PR 4. Draw an arc across the perpendicular creating C. 5. Connect P and C. * Triangle PCR is a right isosceles triangle
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Isoscelese Right Triangle Practice
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Construct a triangle, which angles measure 30 , 60 ,and 90 .
leg hypotenuse 30 60 How do you construct this triangle? 1. make an equilateral triangle 2. create perpendicular bisector on one side of the triangle
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30 - 60 - 90 Right Triangle Practice
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