Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3.

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# Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3. - PowerPoint PPT Presentation

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. right. acute. obtuse. x = 5; 8; 16; 23. Classifying Triangles. Section 4-1. Classify Triangles by Angles.

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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.

right

acute

obtuse

x = 5; 8; 16; 23

### Classifying Triangles

Section 4-1

Classify Triangles by Angles

By Angle Measures

Acute Triangle

Three acute angles

Classify Triangles by Angles

By Angle Measures

Equiangular Triangle

Three congruent acute angles

Classify Triangles by Angles

By Angle Measures

Right Triangle

One right angle

Classify Triangles by Angles

By Angle Measures

Obtuse Triangle

One obtuse angle

Example: Classifying Triangles by

Angle Measures

Classify BDC by its angle measures.

Classify ADC by its angle measures.

Classify ABD by its angle measures.

Example:

Classify FHG by its angle measures.

Classify Triangles by Sides

By Side Lengths

Equilateral Triangle

Three congruent sides

Classify Triangles by Sides

By Side Lengths

Isosceles Triangle

At least two congruent sides

Classify Triangles by Sides

By Side Lengths

Scalene Triangle

No congruent sides

Example: Classifying Triangles by Side Lengths

Classify EHF by its side lengths.

Classify EHGby its side lengths.

Example:

Classify ACD by its side lengths.

Example: Using Triangle Classification

Find the side lengths of JKL.

Example:

Find the side lengths of equilateral FGH.

Classify Triangles Given Vertices
• Example: Classify ABC.

A(2, 4), B(3, -1), C(-4, 3)

Lesson Quiz

Classify each triangle by its angles and sides.

1. MNQ

2.NQP

3. MNP

4. Find the side lengths of the triangle.

acute; equilateral

obtuse; scalene

acute; scalene

29; 29; 23