chapter 12 and chapter 3 geometry terms. adjacent and vertical angles two angles are adjacent angles...

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Chapter 12 and Chapter 3 Geometry Terms

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Page 1: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Chapter 12 and Chapter 3

Geometry Terms

Page 2: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Adjacent and Vertical Angles

Two angles are adjacent angles when they share a commonside and have the same vertex.

Two angles are vertical angles when they are opposite anglesformed by the intersection of two lines. Vertical anglesare congruent angles, meaning they have the same measure.

Page 3: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Complementary and Supplementary Angles

Two angles are complementary angles when the sum of theirmeasures is 90°.

Two angles are supplementary angles when the sum of theirmeasures is 180°.

Page 4: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Corresponding Angles

A line that intersects two or more lines is called a transversal. Whenparallel lines are cut by a transversal, several pairs of congruent anglesare formed.

When a transversal intersectsparallel lines, correspondingangles are congruent.

Page 5: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Alternate Interior AnglesWhen two parallel lines are cut by atransversal, four interior angles areformed on the inside of the parallel linesand four exterior angles are formed onthe outside of the parallel lines.

When a transversal intersects parallel lines, alternate interior anglesare congruent and alternate exterior angles are congruent.

Page 6: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Alternate Exterior Angles

When a transversal intersects parallel lines, alternate interior anglesare congruent and alternate exterior angles are congruent.

When two parallel lines are cut by a transversal, four interior angles areformed on the inside of the parallel lines and four exterior angles are formed on the outside of the parallel lines.

Page 7: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Interior and Exterior Angles

The angles inside a polygon are called interior angles. When the sides of a polygon are extended, other angles are formed. The angles outside the polygon that are adjacent to the interior angles are called exterior angles.

Page 8: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Interior Angle Measures of a Triangle

Words: The sum of the interior anglemeasures of a triangle is 180°.Algebra: x + y + z = 180

Page 9: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Exterior Angle Measures of a Triangle

The sum of two interior angles will always equal the exterior angle of the third angle

The sum of the exterior angles of a polygon will always equal 360 degrees

Page 10: Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex

Putting it Together

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