Angle Relationships
Objectives You will learn new geometry vocabulary. You will understand the relationships between angles. You will be able to give real world examples of specific angles.
Adjacent Angle
Can you find the adjacent angles?
Adjacent angles are NOT
Have the same vertex Share a common side Do not overlap Adjacent Angles Have the same vertex Share a common side Do not overlap
Vertical Angles Angles 2 and 4 are vertical and CONGRUENT!
Can you find the vertical angles?
Vertical angles are NOT
Formed by intersecting lines Vertical Angles Opposite angles Formed by intersecting lines
Congruent Angles
Can you find the congruent angles?
Congruent angles are NOT
Congruent Angles Have the same measure Equal
Supplementary Angles
Can you find the supplementary angle?
Supplementary angles are NOT
Supplementary Angles Sum is 180° Formed when a line is intersected
Complementary angles
Can you find the complementary angles?
Complementary angles are NOT
Formed when a right angle is intersected Complementary Angles Sum is 90° Formed when a right angle is intersected
Transversal
Can you find the transversals?
Transversals are NOT
Transversal Line that intersects two or more other lines
Corresponding Angles
Corresponding angles are NOT On the same line Opposite each other
Corresponding Angles In the same position on the two lines in relation to the transversal and congruent
Alternate Interior Angles Angles 3 and 6 and 4 and 5 are alternate interior angles.
Alternate interior angles are NOT On the same line On the same side of the line Outside the transversal
Alternate Interior Angles Opposite sides of the transversal and inside the outer two lines and congruent
Alternate Exterior Angles Angles 1 and 8 and 2 and 7 are alternate exterior angles.
Alternate exterior angles are NOT On the same line On the same side of the line Inside the transversal
Alternate Exterior Angles Opposite sides of the transversal and outside the outer two lines and congruent
References Pictures obtained through Google image search