Lesson 4-1 Classifying Triangles. Ohio Content Standards:

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Presentation transcript:

Lesson 4-1 Classifying Triangles

Ohio Content Standards:

Formally define geometric figures.

Ohio Content Standards: Use coordinate geometry to represent and examine the properties of geometric figures.

Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

Ohio Content Standards: Represent and analyze shapes using coordinate geometry.

Acute Triangle

All angles are acute.

Obtuse Triangle

One angle is obtuse.

Right Triangle

One angle is right.

Equiangular Triangle

An acute triangle with all angles congruent.

The triangular truss below is modeled for steel construction. Classify JMN, JKO, OLN as acute, equiangular, obtuse, or right. J O K L N M

Scalene Triangle

No two sides of the triangle are congruent.

Isosceles Triangle

At least two sides of the triangle are congruent.

Equilateral Triangle

All of the sides of the triangle are congruent.

U W X Z V Y T

U W X Z V Y T Isosceles Triangles

U W X Z V Y T Scalene Triangles

Find d and the measure of each side of equilateral triangle KLM if KL = d + 2, LM = 12 – d, and KM = 4d – 13.

Find the measures of the sides of RST. Classify the triangle by sides. S (4, 4) R (-1, -3) T (8. -1)

Assignment: Pgs all, all, evens