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4A Triangles and Angles October 16, 2012 High School Math Standards Geometry Lesson 4A Triangles and Angles 2008 Standards Strand 4: Geometry and Measurement Concept 1: Geometric Properties PO 6: Solve Problems using angle and side length relationships and attributes of polygons. Grade 5 Math Standards 2008 Standards Strand 4: Geometry and Measurement Concept 1: Geometric Properties TLW classify triangles by side lengths (scalene, isosceles, equilateral) TLW classify triangles by angle measure (acute, obtuse, equiangular) PO 2. Solve problems by understanding and applying the property that the sum of the interior angles of a triangle is 180˚. Grade 4 Math Standards 2008 Standards TLW solve for variables and angle measures of triangles. Strand 4: Geometry and Measurement Concept 1: Geometric Properties PO 3: Describe and classify triangles by angles and sides. Bell Work Given the graph. What is the slope? Bell Work Graph the equation 3x 2y = 10 Bell Work What is the slope of the line that passes through the points (2, 3) and (1, 5)? Bell Work (6, 1) is the Midpoint between points (10, 9) and (x1, y1). What are the coordinates of the missing point? Graph a line perpendicular with a yintercept at 2 1 4A Triangles and Angles October 16, 2012 Classify the triangle by angles Triangle A three sided polygon. We name triangles using three vertices. Δ is the symbol for triangle acute triangle all angles measure less than 90 and greater than 0 degrees 61o 60o Classify the triangle by angles 59o 70o 20o 80o 80o 30o Classify the triangle by angles obtuse triangle one angle measures greater than 90 degrees and less than 180 degrees 30o 80o right triangle one angle measures 90 degrees 105o 25o 155o parts of a right triangle click on the word to see the triangle part leg/side click here to start over parts of a right triangle x te er v ve rte x leg/side vertex Vertices hypotenuse hypotenuse continue vertex 2 4A Triangles and Angles October 16, 2012 click here to start over parts of a right triangle leg/side e t po y h vertex hypotenuse Classify the triangle by angles leg/side leg/side leg/side us en click here to start over parts of a right triangle vertex hypotenuse What are the angle classifications? Equiangular Triangle all angles are equal 60o 60o 60o classifying triangles by sides classifying triangles by sides Equilateral Triangle All sides are congruent Scalene Triangle All sides are different equilateral implies equiangular No sides No angles 3 4A Triangles and Angles October 16, 2012 What is the sum of all three angles in any triangle? classifying triangles by sides B Isosceles Triangle At least two sides are congruent 2 A 1 3 C 2 3 Two sides Two angles 1 Could these angles be in a scalene triangle? Ex. 23o & 87o Ex. 90o & 45o Ex. 53o & 74o Could these angles be in an Isosceles triangle? Ex. 58o & 64o What are the side classifications? Ex. 70o & 55o Practice Classify each triangle by its angles and sides. Ex. 45o & 100o acute obtuse isosceles right right equiangular isosceles equilateral scalene equilateral scalene right isosceles scalene 4 4A Triangles and Angles Practice Classify each triangle by its angles and sides. October 16, 2012 acute Practice Classify each triangle by its angles and sides. obtuse obtuse isosceles equilateral acute equiangular right scalene acute equiangular equilateral Practice Classify each triangle by its angles and sides. isosceles scalene acute right equiangular equilateral isosceles obtuse isosceles acute acute Practice Classify each triangle by its angles and sides. isosceles scalene acute obtuse obtuse right right right scalene equiangular equilateral obtuse scalene isosceles scalene equiangular acute isosceles equilateral equiangular equilateral isosceles scalene Make a Venn diagram. All equilateral triangles are isosceles. Some isosceles triangles are equilateral. 5 4A Triangles and Angles October 16, 2012 Make a Venn diagram that relates the students in our class. Moon Valley Students Juniors What is the sum of all three angles in any triangle? Seniors Moon Valley Students Seniors Juniors What are the measures of each of the angles in the triangle? What are the measures of each of the angles in the triangle? B 2 A 1 3 C What are the measures of each of the angles in the triangle? What do we know about all three angles in any triangle? What is your conjecture about all four angles in a quadrilateral? 6 4A Triangles and Angles October 16, 2012 7 Attachments 4A Triangle Angle Sum.tns 4A Bell Work.tns
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