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Geometry Chapter 4 Midterm Review Name__________________________________ 1.) __________ A triangle whose two acute angles are complementary. A. Hypotenuse B. Legs C. Base D. Base Angles E. Vertex Angle F. Right Angle G. Equilateral 2.) __________ A triangle that has all equal sides. 3.) __________ The name of the two congruent sides of an isosceles triangle. 4.) __________ A triangle that has sides that are all different lengths Triangle H. Interior Angle I. Scalene Triangle J. Right Triangle K. Obtuse Triangle 5.) __________ The name of the longest side of a right triangle. 6.) __________ A triangle with angle measures of 30, 30 and 120. 7.) __________ The name of the two angles in an isosceles triangle that are congruent. Classify each triangle according to its sides. (Scalene, Isosceles, Equilateral) 8.) 9.) 10.) 6 in. 6 in. 5 in. 6 in. 4 in. 6 in. ___________________ ______________________ ______________________ Classify each triangle according to its angles. (Acute, Right, Obtuse) NOTE: (Diagrams not drawn to scale) 11.) 12.) 13.) 45 45 45 44 44 55 ___________________ ______________________ ____________________ Decide if the triangles shown are congruent. If they are, write the test used to prove their congruence (Either SSS, SAS, ASA or AAS). If they are not congruent, write “Not Congruent.” 14.) 15.) 16.) 17.) 18.) 19.) 20.) In the diagram m2 + m3 = 124, Find m1. 1 2 1 21.) 3 In the diagram, mA = 4x + 11, mB = 5x and mBCD = 10x. Find mBCA. B A C D Find the value of x. 22.) 23.) 58° 47° 21° x° x° 34° 24.) 25.) x° 31° 24° 3x -1° Find the value of x in each diagram 26.) 27.) 41° 23° x - 45° 3x - 2° 3x + 5° 4x + 7° 28.) 32° 68° 4x - 7° 29.) 24° 135° 3x° 30.) YAK has the following vertices: a.) Find the lengths of all 3 sides. Y(–1, –2) , A(1, 8) and K(8, 3). YA = ___________ AK = ___________ YK = ___________ b.) Classify the triangle according to its sides. ________________________ 31.) An equilateral triangle has a perimeter of 108. One of the side lengths is x² – 5x. Find the value(s) of x that work in this problem. 32.) Find the value of the indicated angles. e a b 147° 36° c d f 140° 34° 82° a = __________ b = ____________ c = ___________ e = ___________ f = ___________ d = _____________