Triangles and Quadrilaterals

Triangles have the following characteristics: They are polygons. They have three sides. They have three angles. Their three angles total to 180°. They can be classified by their sides. They can be classified by their angles. The sum of the length of any two sides is greater than the third side. Triangles

Classifying Triangles by their Sides Classify the following triangle by its sides: equilateral All 3 sides have the same length. isosceles At least two sides have the same length. scalene No sides have the same length. 5.5 cm 3 cm

Classifying Triangles by their Sides Classify the following triangle by its sides: equilateral All 3 sides have the same length. isosceles At least two sides have the same length. scalene No sides have the same length. 5.5 cm 3 cm

Classifying Triangles by their Angles acute All three angles are acute angles (less than 90°). obtuse One angle is an obtuse angle (greater than 90°). right One angle is a right angle (equal to 90°). Classify the following triangle by its angles: 92° 68° 20°

Classifying Triangles by their Angles acute All three angles are acute angles (less than 90°). obtuse One angle is an obtuse angle (greater than 90°). right One angle is a right angle (equal to 90°). Classify the following triangle by its angles: 92° 68° 20°

Quadrilaterals have the following characteristics: They are polygons. They have four sides. They have four angles. Their four angles total to 360°. They can be classified by the length and relationship of their sides. They can be classified by the size and relationship of their angles. Quadrilaterals

Classifying Quadrilaterals by their Sides and Angles trapezoid Exactly two sides are parallel. parallelogram Each opposite side is parallel and has the same length. rectangle Each opposite side is parallel and has the same length. All angles are 90°. rhombus Each opposite side is parallel, and all sides have the same length. square Each opposite side is parallel, and all sides have the same length.

Missing Angles in Triangles and Quadrilaterals What measure for angle B will make this quadrilateral a rectangle? 120° 60° B 80° 100° 75° What must angle B measure so that this figure is a quadrilateral? What measure for angle B will make this figure a triangle? What must angle B measure so that this figure is a parallelogram?

Missing Angles in Triangles and Quadrilaterals What measure for angle B will make this quadrilateral a rectangle? 90° 120° 60° B 80° 100° 75° What must angle B measure so that this figure is a quadrilateral? What measure for angle B will make this figure a triangle? 15° What must angle B measure so that this figure is a parallelogram?

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