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TRIANGLES SPI 6.4.2 I CAN identify and find missing angles measures in triangles.

Triangles

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Triangles. SPI 6.4.2 I CAN identify and find missing angles measures in triangles. A triangle is a closed figure with three line segments and three angles. . Equilateral Triangle. ALL three sides and angles equal in measure. In the figure below , the slash marks indicate equal measure. - PowerPoint PPT Presentation

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Page 1: Triangles

TRIANGLESSPI 6.4.2 I CAN identify and find

missing angles measures in triangles.

Page 2: Triangles

A triangle is a closed figure with three line segments and three angles.

Classify TrianglesSides AnglesEquilateral Acute

Isosceles Obtuse

Scalene Right

Page 3: Triangles

Equilateral TriangleALL three sides and angles equal in measure. In the figure below , the slash marks indicate equal measure.

Page 4: Triangles

Isosceles TriangleAt least 2 sides/angles have equal measure. In the figure below , the slash marks indicate equal measure.

62 62

Page 5: Triangles

Scalene TriangleAll three sides of different measures (no equal sides).

Page 6: Triangles

Right Trianglecontains a right angle (90 ͦ)

Page 7: Triangles

Obtuse TriangleContains at least 1 obtuse angle (greater than 90° but less than 180°)

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Page 8: Triangles

Acute Triangle

All acute angles (less than 90°)

Page 9: Triangles
Page 10: Triangles

The sum of the measures of the angles of any triangle always equals 180 degrees.

A + B + C = 180°

Page 11: Triangles

This is a proof that the angles in a triangle equal 180°:

The top line (that touches the top of the triangle) is running parallel to the base of the triangle. A straight line or angle equals 180 degrees.

A + B + C = 180°

Page 12: Triangles

Find the missing angle c?

Page 13: Triangles

Question 1The measure of two angles are 45° and 45

°. A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 14: Triangles

Question 2The measure of two angles are 15 ° and 47 °. A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 15: Triangles

Question 3The measures of two angles are 53 ° and 76

° . A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 16: Triangles

Question 4The measure of one angle is 18 °.A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 17: Triangles

Question 5The measure of one angle is 90 degrees.A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 18: Triangles

Question 6The measure of one angle is 115 degrees. A. AcuteB. RightC. ObtuseD. Cannot be determined

Page 19: Triangles

Question 7The sides measures of a triangle is 10 cm, 5 cm, and 10 cm. Classify this triangle?

A. ScaleneB. AcuteC. IsoscelesD. Obtuse

Page 20: Triangles

Find the missing angle c?

Page 21: Triangles

Find the missing angle c?

Page 22: Triangles

Find the missing angle b?

Page 23: Triangles