1.2 Angle Relationships and similar triangles

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Presentation transcript:

1.2 Angle Relationships and similar triangles

I. Geometric Properties Vertical Angles: have equal measures Parallel Lines: in the same plane but do not intersect Transversal: a line that intersects two parallel lines

Parallel lines cut by a transversal form: Alternate Interior Angles: equal measure Alternate Exterior Angles: Same Side Interior Angles: add up to 180° Corresponding Angles: Example 1

II. Triangles Angle sum of a triangle is 180° Example 2 Types of Triangles: By Angles: Acute Right Obtuse By Sides: Equilateral Isosceles Scalene

Similar Triangles: exactly the same shape but not the same size For similar triangles… 1. Corresponding angles must have the same measure 2. Corresponding sides must be proportional Congruent Triangles: same shape and size Examples 3 - 6

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