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m11gmse_0605.indd 383 6-5 Solve It! Which vertices form a square? A rhombus? A rectangle? Justify your answers. y B C 6 A 4 So far you have learned about four types of quadrilaterals. J F G L D 2 x O 2 4 E 6 H 6-5 Lesson Quiz 1. Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain. 41 41 41 41 2. For what value of x is parallelogram ABCD a rectangle? A x 3x B 9 5 4x D 16 2x 2 C 3. Do you UNDERSTAND? Given WRST is a parallelogram and WS > RT , how can you classify WRST ? Explain. 2/14/09 6:59:42 AM Answers Solve It! Lesson Quiz square: OEFA, because it has 4 rt. ' and 4 > sides; rhombus: OEDG, because it has 4 > sides of length 5; rectangle: EHDL, because it has 4 rt. ' and opp. sides > 2. 7 1. rhombus; The diagonal bisects a pair of opposite angles, so the figure is a rhombus by Theorem 6-17. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four sides are congruent. 3. Rectangle; WS and RT are congruent diagonals, and by Theorem 6-18, WRST is a rectangle. Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 41