Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3. 4. If the perimeter is 47, find x and the lengths of the three sides. (Hint: How do you.

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Presentation transcript:

Warm Up Classify each angle as acute, obtuse, or right If the perimeter is 47, find x and the lengths of the three sides. (Hint: How do you find the perimeter of a triangle?)

3.1 Triangles and Angles Objective: Classify _________ by their ________ and _________. Find angle ___________ in triangles. triangles angles measures

A triangle is a figure formed by ________ ___________ joining three _____________ points. A triangle can be classified by its _______________ and by its ________________. Triangle Classification three segments noncollinear angles

Points A, B, and C are vertices (singular- vertex) of the triangle, that we can call ΔABC. AB and BC are ___________________sides. AC is the side _______________ B. adjacent opposite

Example: Classify the triangle by its sides and angles. What do I know about the sides? Equal or Unequal? What do I know about the angles?

Example: Classify the triangle by its sides and angles. What do I know about the sides? Equal or Unequal? What do I know about the angles?

Example: Classify the triangle by its sides and angles. What do I know about the sides? Equal or Unequal? What do I know about the angles?

Angles

Example 4:

Use the diagram drawn from the information collected to find the measure of each angle. m  XYZ = m  YXW = m  YWZ = Example 5:

The diagram is a map showing John's house, Kay's house, and the grocery store. What is the angle the two houses make with the store? Example 6:

Example 7: Find the value of x. What do I know about the angles?

Example 8: Find the value of x. What do I know about the angles? 8x

Example 9:

A B C 3. Triangle Sum Thm. 1. Given 2. Def. of Equiangular Triangle 4. Subst. Prop. 5. Simplify 6. Div. Prop. Example 10: