DO NOW!  What is an acute angle? What is a right angle?  What is an obtuse angle? What does equilateral mean ?

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Presentation transcript:

DO NOW!  What is an acute angle? What is a right angle?  What is an obtuse angle? What does equilateral mean ?

1.5 Triangles Learning Intentions: Students will understand essential vocabulary of special triangles and evaluate and critique definitions of these terms. Success Criteria: I know I am successful when I can define a triangle by its sides and angles AND complete 85% of my practice problems correctly

 We classify triangles by both its sides AND angles  Use your experience with writing definitions and using counterexamples to define the following:  Right Triangles  Acute Triangles  Obtuse Triangles  Scalene Triangles  Isosceles Triangles  Equilateral Triangles

RIGHT TRIANGLES  RIGHT TRIANGLE: a triangle that has one right angle.

ACUTE OBTUSE TRIANGLETRIANGLE  ACUTE TRIANGLE: a triangle with three acute angles  OBTUSE TRIANGLE: a triangle with one obtuse angle.

SCALENE TRIANGLE  SCALENE TRIANGLE: a triangle with no sides congruent.

EQUILATERAL ISOSCELES TRIANGLETRIANGLE  EQUILATERAL TRIANGLE: a triangle with all sides congruent  ISOSCELES TRIANGLE: a triangle with two congruent sides

NOTE!!  Because Right, Obtuse, and Acute classify a triangle by its ANGLES, and Scalene, Equilateral, and Isosceles classify a triangle by its SIDES, a triangle can be both Right AND Scalene- or Acute AND Isosceles-or any other combination of the names of sides and angles.

PRACTICE: Match the terms on the left with its figure on the right. 1.Equilateral Triangle 2. Scalene Right Triangle 3. Isosceles Right Triangle 4. Isosceles Obtuse Triangle

1.6 Quadrilaterals Learning Intentions: Students will learn to understand essential vocabulary and compare and contrast different types of special quadrilaterals. Success Criteria: I will know I am successful when I can complete 85% of my in class practice problems, and can identify the difference between all special quadrilaterals.

B2, B4, B5  Use your experience with writing definitions and using counterexamples to define the following:  Trapezoids  Kites  Parallelograms  Rhombuses  Rectangles  Squares

TRAPEZOIDSKITES  TRAPEZOID: a quadrilateral with one pair of parallel sides  KITE: a quadrilateral with two pairs of consecutive congruent sides

PARALLELOGRAMRHOMBUS  PARALLELOGRAM: a quadrilateral with two pairs of parallel sides  RHOMBUS: a quadrilateral with two pairs of parallel sides and all sides congruent.  OR an equilateral parallelogram

RECTANGLESQUARE  RECTANGLE: a quadrilateral with two pairs of parallel sides and four congruent angles.  OR an equiangular parallelogram  SQUARE: a quadrilateral with two pairs of parallel sides and all sides and angles congruent.  OR a regular parallelogram

NOTE!!  You should always pay attention to the congruent markings on a quadrilateral NOT the specific shape  Example: Based off of the marks, give the BEST definition for the following quadrilaterals:

PRACTICE Match the terms on the left with its figure on the right. 1. Trapezoid 2. Rhombus 3. Rectangle 4. Kite 5. Parallelogram