Bellringer Find the slope going through the points

Bellringer Find the slope going through the points. Use the given information to write an equation for each line. • 1. • 3. slope 1/3 , y-intercept 2 • 4. • 2. (2, 3), ( 1, 6)

Parallel Lines and Triangles

Classification by Sides Equilateral Triangle Isosceles Triangle 3 congruent sides 2 congruent sides Scalene Triangle No congruent sides

Classification by Angles Acute Triangle Equiangular Triangle 3 acute angles 3 congruent angles Right Triangle Obtuse Triangle 1 right angle 1 obtuse angle

Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. There is exactly one line through P parallel to m.

Triangle Angle-Sum Theorem • The sum of the measures of the angles of a triangle is 180.

Using the Triangle Angle-Sum Theorem • What are the values of x, y, and z?

Solve for x, y, and z.

Solve for x.

Find the measure of angle A. 1. 2.

Angles in Triangles • An exterior angle is formed by a side and an extension of an adjacent side. • For each exterior angle of a triangle, the two nonadjacent interior angles are its remote interior angles. Triangle Exterior Angle Theorem: The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. m 1 = m 2 + m 3

Using the Triangle Exterior Angle Theorem • What is the measure of 1? • What is the measure of 2?

Find the measures of angles 1 and 2.

Find x and the angle measure.

Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?