lesson 5-1 classifying triangles. ohio content standards:

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Lesson 5-1

Classifying Triangles

Ohio Content Standards:

Ohio Content Standards:

Formally define geometric figures.

Ohio Content Standards:

Establish the validity of conjectures about geometric objects, their properties and

relationships by counter-example, inductive and deductive reasoning, and critiquing

arguments made by others.

Ohio Content Standards:

Make and test conjectures about characteristics and properties

(e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

Triangle

Triangle

A figure formed when three noncollinear points

are connected by segments.

Acute Triangle

Acute Triangle

A triangle with all acute angles.

Obtuse Triangle

Obtuse Triangle

A triangle with one obtuse angle.

Right Triangle

Right Triangle

A triangle with one right angle.

Scalene Triangle

Scalene Triangle

A triangle with no sides congruent.

Isosceles Triangle

Isosceles Triangle

A triangle with at least two sides congruent.

Equilateral Triangle

Equilateral Triangle

A triangle with all sides congruent.

The angle formed by the congruent sides is called

the vertex angle.

The angle formed by the congruent sides is called

the vertex angle.

The side opposite the vertex angle is called the

base.

The angle formed by the congruent sides is called

the vertex angle.

The side opposite the vertex angle is called the

base.

base anglebase angle

The angle formed by the congruent sides is called

the vertex angle.

The side opposite the vertex angle is called the

base.

base anglebase angle

The two angles formed by the base

and one of the congruent sides are called base

angles.

The angle formed by the congruent sides is called

the vertex angle.

The side opposite the vertex angle is called the

base.

base anglebase angle

The two angles formed by the base

and one of the congruent sides are called base

angles.

legleg

The angle formed by the congruent sides is called

the vertex angle.

The side opposite the vertex angle is called the

base.

base anglebase angle

The two angles formed by the base

and one of the congruent sides are called base

angles.

legleg

The congruent sides are called

legs.

Classify each triangle by its angles and by its sides.

Classify each triangle by its angles and by its sides.

Classify each triangle by its angles and by its sides.

120°30°

30°

Find the measures of XY and YZ of isosceles triangle XYZ if

X is the vertex angle.

Y

X

Z

102n + 2

2n - 2

Assignment:

Pgs. 191-192 8-22 evens, 30-36 evens

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