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102 0. 39 0. 39 0. The wall at the front entrance to the Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, is an isosceles triangle. The triangle has a vertex angle of 102. What is the measure of the base angles? Draw a labeled picture. Find m  DBC. 2 0 0.

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  1. 1020 390 390 The wall at the front entrance to the Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, is an isosceles triangle. The triangle has a vertex angle of 102. What is the measure of the base angles? Draw a labeled picture.

  2. Find mDBC 200

  3. Find mCAD & mACB 900 1350 mCAD = _______ mACB = ______

  4. Find the value of x and y. 500 650 x = ____ y = ____

  5. Find m and n. 440 680 m = ____ n = ____

  6. Solve for x, each side, classify. A B C 650 650 500 mACB = ____ mBAC= ____ Isosceles Acute Classify by sides: _______ Classify by angles: ______

  7. Find the value of x and y. 20 30 x = ____ y = ____

  8. Solve for x and each side. A 3x + 12 4x + 8 B C 6x 12 12 12 4 x = ____ AB= ____ BC= ____ AC= ____

  9. Solve for x, each side, classify. A 3(2x – 2) 5x + 6 390 B C 390 66 12 66 x = ____ AB= ____ AC= ____ Isosceles Obtuse Classify by sides: _______ Classify by angles: _______

  10. Solve for x and each angle. A (3x – 6)0 B C 17 450 450 900 x = ___ BAC= ___ ABC= ___ ACB= ___

  11. Solve for x and each side. A -5x + 5 B C -2x + 20 -5 42.4 30 30 x = ____ AC= ____ BC= ____ AB= ____

  12. If the legs of a right, isosceles triangle each measure 24 inches, find the length of the hypotenuse. Round to the nearest tenth. x x = 33.9 24 24

  13. Determine whether the given lengths are sides of a right triangle? Explain. 5.2, 6.5, 3.9 42.25 = 42.25 Yes, because a2 + b2 = c2.

  14. Find the value of x and y. x + 7 = 55 x = 48 55 + (48 + 7) + y = 180 110 + y = 180 y = 170

  15. Find the value of x and y. x = 45 9y = 45 y = 5

  16. Find the value of x. This is an isosceles triangle, so the 2 sides are congruent… 5x + 5 = 35 5x = 30 x = 6

  17. Find the value of x. This is an isosceles triangle, so the 2 angles are congruent… 9x = 72 x = 8

  18. Find the value of x. x + x + 102 = 180 2x + 102 = 180 2x = 78 x = 39

  19. Find the value of x and y. 3x – 11 = 2x + 11 x = 22 2y = 70 y = 35

  20. The slope ofOPis 2 – 0 3 – 0 1 . – 2. The slope ofOQis = = – 2 – 0 2 6 – 0 Using slopes, determine if PQO is a right triangle. Explain. SOLUTION • Check for right angles by checking the slopes. • There is a right angle in the triangle if any of the slopes are perpendicular. Explanation PQOis a right triangle because the slopes of the legs have opposite signs and reciprocals which means they are perpendicular and form a right angle.

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