Triangles Notes PDF

4.1 Notes: Types of Triangles Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles A triangle is formed...

4.1 Notes: Types of Triangles Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles A triangle is formed by The noncollinear points are called The segments joining the points are called Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles We call this triangle:_________ Sides:_____________________ Vertices:____________________  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Given ΔPQR: a. Which angle is opposite segment PQ?__________ b. Which side is opposite angle Q?____________ c. Which side is included between angle P and angle R?__________ d. Which angle is included between segments QR and PR? ___________  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Classification by Angles Type Description Example Acute Obtuse Equiangular Right Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Classification by Sides Type Description Example Scalene Isosceles Equilateral Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Classify each triangle by its angles and sides. Use the most specific name.  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Notes:_____________ ___________________ ___________________ ___________________ ___________________ ___________________ ___________________ Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Triangle Angle-Sum Theorem The sum of the measures of the interior angles of a triangle is 180°. m∠1 + m∠2 + m∠3 = 180°  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Exterior Angle of a Triangle Notes:_____________ ___________________ ___________________ ___________________ ___________________ ___________________ ___________________ Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Acute Angles of a Right Triangle Notes:_____________ ___________________ ___________________ ___________________ ___________________ ___________________ ___________________  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Use the Triangle Angle-Sum Theorem to find the measure of each angle in the given triangle. Notes:_____________ ___________________ ___________________ ___________________ ___________________ ___________________ ___________________  Learning Target: Learn the Vocabulary of Triangles, Classify triangles by angles and sides,Find measures of triangles Use the Exterior Angle of a Triangle to find the measure of the exterior angle and the nonadjacent angle shown. Notes:_____________ ___________________ ___________________ ___________________ ___________________ ___________________ ___________________ 1. Find x, m A, m B, m C. A 7x + 12 6x – 12 11x – 8 B C 2. Find x and y. 7y – 11 14x + 1 6y – 5 4x + 8 3. Find x, m A, m B, m C. A 3 x 2 19 3x + 49 5x + 32 BB C C