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Bellringer 3. slope 1/3 , y-intercept  (2, 3), (1, 6)

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Presentation on theme: "Bellringer 3. slope 1/3 , y-intercept  (2, 3), (1, 6)"— Presentation transcript:

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

2 Parallel Lines and Triangles
Course: Geometry pre-IB Quarter: 2nd Objective: To use parallel lines to prove a theorem about triangles. To find measures of angles of triangles. SSS: MA.912.G.2.2; MA.912.G.8.5

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

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

5 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.

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

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

8  Solve for x, y, and z.

9 Solve for x.

10 Find the measure of angle A.

11 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

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

13 Find the measures of angles 1 and 2.

14 Find x and the angle measure.

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


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