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Classifying Triangles

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1 Classifying Triangles
Lesson 4-1 Classifying Triangles

2 Ohio Content Standards:

3 Ohio Content Standards:
Formally define geometric figures.

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

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

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

7 Acute Triangle

8 Acute Triangle All angles are acute.

9 Obtuse Triangle

10 Obtuse Triangle One angle is obtuse.

11 Right Triangle

12 Right Triangle One angle is right.

13 Equiangular Triangle

14 An acute triangle with all angles congruent.
Equiangular Triangle An acute triangle with all angles congruent.

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

16 Scalene Triangle

17 No two sides of the triangle are congruent.
Scalene Triangle No two sides of the triangle are congruent.

18 Isosceles Triangle

19 At least two sides of the triangle are congruent.
Isosceles Triangle At least two sides of the triangle are congruent.

20 Equilateral Triangle

21 All of the sides of the triangle are congruent.
Equilateral Triangle All of the sides of the triangle are congruent.

22 V Y Z W T U X

23 V Y Z W T U X Isosceles Triangles

24 V Y Z W T U X Scalene Triangles

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

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

27 Assignment: Pgs. 181-183 14-18 all, 22-27 all, 32-34 evens


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