501 Geometry Questions

(Jacob Rumans) #1

Answers


Set 51



  1. c.Rectangles and rhombuses have very little in common with
    isosceles trapezoids except one set of parallel lines, one set of
    opposite congruent sides, and four interior angles that measure
    360°.

  2. b.The interior angles of a quadrilateral total 360°. Choices aand c
    are incorrect because the question states each line segment
    connects end-to-end; this is a closed figure, but it is not necessarily
    a square.

  3. d.Looking at the illustration, ABCD represents square K and
    WXYZ represents square R. Since X and W are midpoints, it
    stands that AX≅AW. However, the only way that the length of
    WXcould be half of ABis if WXwas also congruent to AXand
    AW. This could only be the case if ΔAWX were equilateral, but it
    is an isosceles right triangle. Therefore the side lengths of square
    R are not half of the side lengths of square K. They are definitely
    not congruent or twice as long as the sides of square K, so the
    correct choice is d.

  4. b.A rhombus’s diagonal bisects its vertices.

  5. d.Diagonals of a trapezoid are not congruent unless the trapezoid
    is an isosceles trapezoid. Diagonals of any trapezoid do not bisect
    each other.

  6. Trapezoid.Trapezoids have exactly one pair of parallel sides.


D

A X

Z

B

W Y

C

501 Geometry Questions
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