[PPT]Isosceles Triangles - Windham Math /...
Transcript of [PPT]Isosceles Triangles - Windham Math /...
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Triangles Review
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Can you identify the type of triangles in
each of the following photos?
Classify each triangle by sides and angles.
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It’s an ISOSCELES, ACUTE triangle.
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It’s a SCALENE, ACUTE triangle.
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It’s an ISOSCELES, OBTUSE triangle.
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It’s an EQUILATERAL, EQUIANGULAR
triangle.
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Draw an example of the following triangles, if possible. Mark the diagrams appropriately.
2. Right Equilateral1. Right Isosceles
3. Obtuse Scalene
Not possible!!!!
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Isosceles TrianglesGeometry
Unit 5, Lessons 1 & 2
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• The sides that are the same length are called legs.
• The other side is called the base.
• An isosceles triangle is a triangle with two congruent sides.
• The angles on each end of the base are called base angles.
• The angle across from the base is called the vertex angle.
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Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite them are congruent.
I f : then:
AB ACB C
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Converse of the Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the sides opposite them are congruent.
I f : then:
B CAB AC
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The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.
ACD BCDCD ABAD BD
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Example 1
Find x.
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Example 2
Find the measures of 1, 2, 3 and 4.