Angle Relationships Objectives n You will learn new

Angle Relationships

Objectives n You will learn new geometry vocabulary. n You will understand the relationships between angles. n You will be able to give real world examples of specific angles.

Adjacent Angle

Can you find the adjacent angles?

Adjacent angles are NOT

Adjacent Angles n. Have the same vertex n. Share n. Do a common side not overlap

Vertical Angles 2 and 4 are vertical and CONGRUENT! Angles 1 and 3 are vertical and CONGRUENT!

Can you find the vertical angles?

Vertical angles are NOT

Vertical Angles n. Opposite n. Formed angles by intersecting lines

Congruent Angles

Can you find the congruent angles?

Congruent angles are NOT

Congruent Angles n. Have n. Equal n the same measure

Supplementary Angles

Can you find the supplementary angle?

Supplementary angles are NOT

Supplementary Angles n Sum is 180° n Formed when a line is intersected

Complementary angles

Can you find the complementary angles?

Complementary angles are NOT

Complementary Angles n. Sum is 90° n. Formed when a right angle is intersected

Transversal

Can you find the transversals?

Transversals are NOT

Transversal n Line that intersects two or more other lines

Corresponding Angles

Corresponding angles are NOT n. On the same line n. Opposite each other

Corresponding Angles n In the same position on the two lines in relation to the transversal and congruent

Alternate Interior Angles 3 and 6 and 4 and 5 are alternate interior angles.

Alternate interior angles are NOT n On the same line n On the same side of the line n Outside the transversal

Alternate Interior Angles n Opposite sides of the transversal and inside the outer two lines and congruent

Alternate Exterior Angles 1 and 8 and 2 and 7 are alternate exterior angles.

Alternate exterior angles are NOT n On the same line n On the same side of the line n Inside the transversal

Alternate Exterior Angles n Opposite sides of the transversal and outside the outer two lines and congruent

References n Pictures obtained through Google image search