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Geometry Essentials REVIEW: 4.1 – 4.3 Name:________________________________________ obtuse right 1. Classify each triangle by its angles and sides. A similar word bank will be proved on the quiz: acute a) 19° 19° b) equiangular 68° equilateral isosceles 22° scalene Classification by sides: ____________________ Classification by sides: ______________________ Classification by angles: ___________________ Classification by angles: ______________________ 2. a) If Δ WXY is an equilateral triangle with sides WX = 6x – 12, XY = 2x + 10 and WY = 4x – 1, find the value of x and the length of each side of the triangle. b) If βWXY is an isosceles triangle with base ππ, WX = x + 6, WY = 12 – x, and XY = 4x – 13, find the value of x and the length of each side of the triangle. 3. Find the measure of the indicated angle. a) mοXZY b) mοCAM Y 47° C 29ο° X 36 ° Z 4. Solve for x and then find the value of the indicated angle. a) mοMTA and mοBAM b) mοYXZ Y (π₯)° B 30ο° (3x - 31)ο° (x +31)ο° X (2π₯)° (4π₯ + 5)° Z 5. Mark the following information in the diagram: VW ο WY , XW ο WZ ,VZ ο YX , οV ο οY , οZ ο οX . Write a congruence statement for the triangles. V β ___________ ο β _______________ X W Z Y 6. Show that the triangles are congruent by identifying all of the congruent corresponding parts based on the congruency statement. βπ΄ππΊ ≅ βπ½π π ________ ≅ _______ ________ ≅ ________ ________ ≅ _______ ________ ≅ ________ ________ ≅ _______ ________ ≅ ________ 7. If οSJL ≅ οDMT, which segment corresponds to LS ? 8. What does CPCTC stand for? 9. Given οABC ο οPQR, find the values of x and y. 2y – 1 Q R A 7 B 85ο° 50ο° 5 (10x + 5)ο° C P