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Geometry chapter 6 Review WS Name: ________________ Determine whether the triangles are congruent. Use the flowchart to justify your answer. R: R: R: Reason: State whether or not each statement below is true. Then write the converse of the statement and state whether or not the converse is true. 2. If an angle is a straight angle, then the angle measure 180 degrees. T/F Converse: 3. If one angle of a quadrilateral is a right angle, then the quadrilateral is a rectangle. T / F Converse: 4. If two angles of a triangle have equal measures, then the two sides of the triangle opposite those angles have equal length. T / F Converse: 6. Draw a picture of each and label ALL congruent/parallel parts: a) Square h) Equilateral Triangle b) Rhombus i) Isosceles Triangle c) Rectangle j) Circle d) Kite k) Scalene Triangle e) Regular Hexagon l) Regular Pentagon f) Trapezoid m) Quadrilateral g) Parallelogram 7. Solve for the variable(s). a) b) 9.1 8. Find the measure of angle A. B answer: ______ 17 6 C SOLUTIONS: A 1. Bubbles should contain these: A E, R: given, D B, R: given, BC CD, R: given, and ABC EDC, R: AAS 2. Conditional: true Converse: If an angle measures 180 degreses, then it is a straight angle. True 3. Conditional: false Converse: If a quadrilateral is a rectangle, then one angle is a right angle. True (In fact, all four angles are right angles.) 4. Conditional: true Converse: If two sides of a triangle are equal in length, then the two angles opposite those sides are equal in measure. True 6. Look at your Shape Toolkit. Be very thorough. 7. a) x ≈ 13.01, y = 107º b) x ≈ 16.60 8. 20.67°