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Lesson 8.2 – 8.3 Angles, Triangles and Quadrilaterals
Essential Question: How do you classify angles, triangles and quadrilaterals?
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Before we start… What is the angle measure of a straight angle?
What is the angle measure of a right angle?
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How do you classify an angle?
By it’s angle measure: Acute: Less than 90° Right: Is 90° Obtuse: Greater than 90°
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How do you classify a triangle?
By its angles Acute Right Obtuse By its sides Equilateral Isosceles Scalene
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What is an acute triangle?
A triangle has three acute angles
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What is a right triangle?
A triangle that has one right angle
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What is an obtuse triangle?
A triangle that has one obtuse angle
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What is an equilateral triangle?
A triangle that has three equal sides
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What is an isosceles triangle?
A triangle that has two sides of equal length
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What is a scalene triangle?
A triangle that has no sides of equal length
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Geometric figures are named using the vertices of each angle (clockwise or counterclockwise). Tick marks in a drawing show that side lengths are equal. Arc marks show that angles are equal.
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Classify the triangle by: - its angles - its side lengths
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Classify the triangle by: - its angles - its side lengths
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Classify the triangle by: - its angles - its side lengths
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Classify the triangle by its side lengths:
7 cm, 9 cm, 7 cm 11 ft, 11 ft, 11 ft 4 in, 5 in, 6 in
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How many degrees are in a triangle?
Every triangle has three angles that add up to 180°.
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Find the missing angle in the triangle. Then classify it by its angles.
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Find the missing angle in the triangle. Then classify it by its angles.
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Find the missing angle in the triangle. Then classify it by its angles.
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What is a quadrilateral?
A closed figure with four sides that are line segments
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How do you classify a quadrilateral?
By its sides and angles Trapezoid Parallelogram Rhombus Rectangle Square
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What is a trapezoid? A quadrilateral with exactly 1 pair of parallel sides
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What is a parallelogram?
A quadrilateral with two pairs of parallel sides
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What is a rhombus? A parallelogram with 4 sides of equal length
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What is a rectangle? A parallelogram with 4 right angles
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What is a square? A parallelogram with 4 sides of equal length and 4 right angles
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Classify the quadrilateral.
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Classify the quadrilateral.
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Classify the quadrilateral.
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Classify the quadrilateral.
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Classify the quadrilateral.
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Classify the quadrilateral.
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Angles in a Quadrilateral
The angles in a quadrilateral add up to 360°
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Find the value of x.
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Find the value of x.
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Find the value of x.
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Find the value of x.
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Find the value of x.
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Find the value of x.
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How do you classify angles, triangles and quadrilaterals?
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Ticket Out the Door Find the value of x.
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