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Properties of Rectangles

Quiz by M Cruz-Farooqi

High School
Geometry
New York State Next Generation Standards

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10 questions
Show answers
  • Q1

    As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E. If AE = x + 2 and BD = 4x − 16, then the length of AC is

    Question Image

    6

    24

    12

    10

    60s
  • Q2

    In the diagram below of rectangle RSTU, diagonals RT and SU intersect at O. If RT = 6x + 4 and SO = 7x − 6, what is the length of US?

    2

    8

    16

    32

    60s
  • Q3

    Which statement about quadrilaterals is true?

    All quadrilaterals have four sides.

    All quadrilaterals have equal sides

    All quadrilaterals are parallelograms.

    All quadrilaterals have four right angles

    60s
  • Q4

    A parallelogram must be a rectangle when its

    diagonals are perpendicular

    diagonals are congruent

    opposite sides are parallel

    opposite sides are congruent

    60s
  • Q5

    A parallelogram is always a rectangle if

    the diagonals bisect each other

    the diagonals are congruent

    the diagonals intersect at right angles

    the opposite angles are congruent

    60s
  • Q6

    In parallelogram ABCD, diagonals AC and BD intersect at E. Which statement proves ABCD is a rectangle?

    AC ≅ BD

    AC bisects ∠BCD

    AC⊥BD

    AB⊥BD

    60s
  • Q7

    Parallelogram BETH, with diagonals BT and HE , is drawn below. What additional information is sufficient to prove that BETH is a rectangle?

    Question Image

    BE \parallelHT

    BE ≅ ET

    BT ⊥HE

    BT ≅ HE

    60s
  • Q8

    In the accompanying diagram of rectangle ABCD ,m ∠BAC = 3x + 4 and m ∠ACD = x + 28. What is m ∠CAD?

    Question Image
    Users enter free text
    Type an Answer
    60s
  • Q9

    rectangles

    Users re-arrange answers into correct order
    Jumble
    30s
  • Q10

    Diagonals are congruent

    Users re-arrange answers into correct order
    Jumble
    60s

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