has all right angles and has all sides congruent

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Presentation transcript:

has all right angles and has all sides congruent 1.) Which description does NOT guarantee that a quadrilateral is a square? has all right angles and has all sides congruent A is a parallelogram with perpendicular diagonals B b. correct is both a rectangle and a rhombus C has all sides congruent and all angles congruent D

2. ) In the rhombus, m3 = 30 z, m2 = y + x, and m1 = 18x 2.) In the rhombus, m3 = 30 z, m2 = y + x, and m1 = 18x. Find the value of each variable. x = 5, y = 175, z = 6 d. correct A x = 10, y = 85, z = 6 B x = 10, y = 175, z = 3 C x = 5, y = 85, z = 3 D

3. ) Parallelogram ABCD has the angle measures shown 3.) Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square?. Parallelogram ABCD is a rectangle, because the diagonal creates congruent angles. A Parallelogram ABCD is a square, because all four angles have the same measure. B c. correct Parallelogram ABCD is a rhombus, because the diagonal bisects two angles. C There is not enough information. D

4.) Which Venn diagram is NOT correct? B D A C a. correct

5.) What is the most precise name for quadrilateral ABCD with vertices A(–2, 2), B(0, 4), C(6, 4), and D(4, 2)? rhombus A quadrilateral B c. correct parallelogram C rectangle D

6. ) M, P, Q, and R are midpoints of the sides of rectangle WXYZ 6.) M, P, Q, and R are midpoints of the sides of rectangle WXYZ. If mXQP = 40°, what is m PQR? 40 A 80 B c. correct 100 C 120 D

SPR1) In quadrilateral ABCD, it is known that mACD = 2x + 4 and mACB = 5x – 11. For what value of x is ABCD a rhombus? 5

SPR2) In quadrilateral ABCD, AE = 3q – 18 and BE = 10 + q SPR2) In quadrilateral ABCD, AE = 3q – 18 and BE = 10 + q. For what value of q is ABCD a rectangle? 14