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Name: ____________________________ Period: ___________ Classifying Triangles 8-6 and 8-7 Grade 7 Math Klein ISD 2012 - 2013 I. Use the triangular dot paper. 1. An equilateral triangle has three equal sides. All equilateral triangles are similar. Find the equilateral triangles. ______6 Which of the following triangles CANNOT have one right angle? A Equilateral triangle B Scalene triangle C Right triangle D Isosceles triangle ________________________________ 2. Name triangle E with TWO names. _____________ ______________ 3. Triangles with these angles are similar to triangle E. Which triangles are similar to E? ________________________________ 4. Name triangle A with TWO names. _____________ ______________ 5. Triangles with these angles are similar to triangle A. Which triangles are similar to A? ________________________________ ______7 Taylor drew a triangle. Two sides of his triangle were each 4 centimeters. One angle was exactly 90°. Which best describes Taylor’s triangle? A Equilateral and right B Isosceles and right C Scalene and right D Acute and right ______8 The measure of the largest angle in an acute triangle is A less than 90o B greater than 90o C equal to the sum of the measures of the other 2 angles D greater than the sum of the measures of the other 2 angles ______9 According to the diagram, how would you find the measure of ∡B? ______15 An isosceles triangle has 2 angles measuring 45° each. Which description best describes the triangle? A It is an acute triangle because a 45° angle is smaller than a right angle. B It is an obtuse triangle because 180 – 45° = 135° C It is a right triangle because 180° - 90° = 90° D It is a scalene triangle because none of the angles are congruent. A Subtract 90° from 180° and then divide the difference by two B Subtract 180° from the sum of 45° and 90° C Add 45° and 45° and subtract from 180° D Subtract 180° from the sum of 45° and 45° ______10 A triangle has three congruent angles. What is the measure of each angle? A 50° B 60° C 75° D 100° ______11 Juliana sewed a triangle on an apron for homemaking class. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best describes the triangle based on its side measurements? II. Use the triangular dot paper above. 16. Triangles can be classified by angles or sides. Find each triangle in the figure. A Equilateral B Isosceles a. right __________________________ C Scalene D Acute b. acute _________________________ The figure shows the Oak Creek trail, which is shaped like a triangle. c. obtuse ________________________ d. isosceles ______________________ e. equilateral _____________________ f. scalene _______________________ 17. Draw segment BD. Describe ⦟ABD. ________________________________ ______12 Classify the triangle by its side. 18. Draw ∆KHJ. Describe ∆EHK. ________________________________ ______13 Classify the triangle by its angles. ______14 Find the missing angle. 19. Draw segment XZ. Describe the triangles. a. ∆WXZ ________________________ b. ∆XZY ________________________