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Think about it...

Is it possible for an equilateral triangle to have an angle measure other than 60°?

Are isosceles triangles always acute triangles?

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Name the Triangles you can classify by their...

Sides:

Angles:

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Warm Up: Try to draw the following Try-angles

Obtuse Isosceles triangle:

Obtuse Equilateral triangle:

Right Obtuse triangle:

Right Isosceles triangle:

Right Equilateral triangle:

Right Scalene Triangle:

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5.4 Equilateral Triangles & Isosceles

Reason with isosceles & equilateral triangles.

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Draw an Isosceles Triangle!

→ Use a ruler to make sure two side lengths are the same

→ Measure each angle with a protractor

What do you notice??

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Isosceles Triangles:

If two sides of a triangle are congruent, then the angles opposite them are congruent.

If AB ≅ AC , then ∠B ≅ ∠C.

If two angles of a triangle are congruent, then the sides opposite them are congruent.

If ∠B ≅ ∠C, then AB ≅ AC .

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Can you have an equilateral triangle that is not equiangular??

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A triangle is Equilateral if and only if it is Equiangular.

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Find all the Angle Measures of the triangle:

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In △DEF, DE ≅ DF .

What can you observe from the triangle??

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Copy & complete the following statements:

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Find x and y.

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Warm Up:

Given Fill in the blanks