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Geometry Review #3

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  • What is the perimeter of this triangle?
    15 +5√3 or 23.7
  • Find the value of x.
    7.5
  • Given segment x is parallel to segment y, find the value of x.
    12
  • A triangular garden is dug, making a 90 degree angle at one end of a house and a 30 degree angle at the other end. If the house is 30√3 feet wide, what is the perimeter of the garden?
    90 + 30√3
  • What is the slope of a line parallel to line m?
    -1/4
  • An aquarium curator is expanding her facility. Her old aquarium is a cylinder that is 20 feet tall with a diameter of 50 ft. The new aquarium is a similar cylinder with diameter of 100 feet. How much more water will the new one hold?
    274,890 cubic feet
  • For parallelogram JKLM, find the value of x.
    38
  • Is this quadrilateral a parallelogram? YES or NO?
    NO
  • The base of a ladder 20 feet long is placed on the ground 5 feet from the side of a house. How high up on the house does the top of the ladder reach?
    19.4 feet
  • What is the lateral area of the cone? Put your answer in π form.
    60π
  • Find the measure of Angle A. Round to the nearest whole number.
    37 degrees
  • Write a congruency statement for these triangles.
    Many possible answers....∆NKM ≊ ∆ LKM
  • What is the inverse of the following statement? If a figure has circular bases that are parallel, then it is a cylinder.
    If a figure does not have circular bases that are parallel, then it is not a cylinder.
  • PQRS is a square. PR=16. What is the length of RS?
    8√2 0r 11.3
  • Which of these groups will form a triangle? 5,1,3; 5,3,8; 1,5,11; 5,8,11
    5,8,11
  • Are these triangles similar? If YES, which theorem proves them similar?
    YES, AA Theorem
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