1. Which statement is not always true about a rectangle? ) he diagonals are perpendicular 3) The adjacent sides are perpendicular. 2) The opposite sides are congruent. 4) Two sets of opposite sides are parallel. 2. In the diagram below of rhombus ABCD, mZC= 100 What is mZDBC? 1000 D c 3. In the accompanying diagram of parallelogramABCD, mZA = 2x —10and mZB = 5x+15. Find the m<CBA. c L C.Bh q s=tso t2SàlS —10)0 + 15) 0 15 4) Quadrilateral ABCD has diagonals AC and BD. Which information is not sufficient to prove ABCD is a parallelogram? (l) AC and BD bisect each other. (2) AB CD and BC AD 3) AB CD and AB Il CD (4) AB CD and BC IlAD S(XWL di 00 5. In the diagram below, quadrilateralSTAR is a rhombus with diagonals SA and TR intersecting atE. ST —3x+ 30, 3z, TE- 5z+5, AE-4z- 8, my-RTA- sy- 2,andmZTAS- 9Y+8. 3x+30 s SR- 8x- 5, Ÿ6)-S 8x-5 b) Solve for RT c) Solve formZTAS THs 6. Given: ABCD is a parallel ram with diagonals nd B Intersecting at E. know p c D Prove: AAED ACEB 6 hC ShS Ñasùns 8b bisec+ aces z òP seroicv 7. In the coordinate plane, the vertices of ARST are and T(—5,6). State the coordinates of point P such that quadrilateral RSTP is a rectangle. Yo heip so . • For SR's Prove that your quadrilateral RSTP is a rectangle. [The use of the set of axes below is optional.] - -.10 s 3 opp. sldes PST? is 8) In which quadrilateral are the diagonals not congruent to each other? (a) isosceles trapezoid (b)hombus (c) rectangle (d) square 9) Which statement is true? (a) Every square is a rhombus. (b) Every rhombus is a square. (c) Every trapezoid is a parallelogram. (d) Every parallelogram is a rectangle. know pard vs 10) Which is an example of a quadrilateral whose adjacent sides are always perpendicular? (a) a parallelogram (b) a rhombus (c) an isosceles trapezoid (d) rectangle 11) In rhombus ABCD, with diagonals AC and DB, the to 10 diaow„ls c If the length ofdiagonal AC is 12, what is the length of DB? 2 16 44 3) accompanyingdiagramof parallelogram 12. In ABCD, mZB = Sr, and mZC=2x + 12. Find the number ofdegrees in ZD. c Bshy) x? Z (of
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