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Copying and Constructing Triangles Math 2 - Lesson 59 Mr. Lopez

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Construction an Equilateral Triangle Given: AB Construct: Equilateral Triangle XYZ using AB as its lengths 1.Draw an ray from X longer than AB. 2.Using your compass, get the width of AB. 3.Using the same compass settings, place the point of the compass on X and make an arc that starts above X and passes through the ray. Mark the intersection Y. 4.With the same compass setting, place the point of the compass on Y and make an arc that starts above Y and passes through 1 st arc. Mark the intersection Z. 5.Connect X to Z and Y to Z to complete the equilateral triangle.

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Construction an Equilateral Triangle Try: Given: AB Construct: Equilateral XYZ using AB A B X Y Z

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Copying Triangles Given: ABC and ray X Construct: XYZ so that it is congruent to ABC 1.Use your compass and record the width of AB. 2.Keeping the compass setting, place the point on X and make an arc that passes through the ray. Label this intersection Y. 3.Use your compass and record the width of BC. 4.Keeping the compass setting, place the point on Y and make an arc above Y. 5.Use your compass and record the width of AC. 6.Keeping the compass setting, place the point on X and make an arc above X so that it intersects with other arc. Label this intersection Z. 7.Use your straightedge to complete the triangle. X A B C

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Aim: How do we use a compass and straightedge to perform all compass constructions? DO NOW! – Using the given line, construct a 45 degree angle. A.

Aim: How do we use a compass and straightedge to perform all compass constructions? DO NOW! – Using the given line, construct a 45 degree angle. A.

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