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MC2 Triangles and Angles Review 13.1 to 15.2

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  • Miguel is 155cm tall. On a sunny day he casts a shadow 93cm long. At the same time, a nearby electric tower casts a shadow 6m long. How tall is the tower?
    10m tall
  • Write 1 triangle rule on the board. (you must not repeat one that is already there)
    Any correct answer
  • Find x.
    65 degrees
  • ∠SUN and ∠CAT are supplementary. m∠SUN = (2x)° and m∠CAT = 142°. Find the value of x.
    x=19
  • ∠P and ∠Q are supplementary. m∠P = (5x + 3)° and m∠Q = (x + 3)°. What is the measure of ∠Q?
    32 degrees
  • Write 1 triangle rule on the board. (you must not repeat one that is already there)
    Any correct answer
  • Write 1 triangle rule on the board. (you must not repeat one that is already there)
    Any correct answer
  • How is the mathematical meaning of the word “similar” the same as or different from the word “similar” in everyday conversation?
    In real life, the word “similar” is used to describe things that may look somewhat alike. In mathematics, similar figures must have exactly the same angles
  • Find TV.
    9
  • I have two angles and one side length of a triangle. How many triangles can I make?
    Many. (3 to be exact)
  • A rectangular room is 42 feet wide and 69 feet long. On a blueprint, the room is 14 inches wide. How long is the room on the blueprint?
    23in
  • Find x if the right triangles are similar.
    15 yards
  • Name a pair of adjacent angles that are not complementary.
    DBE, EBF
  • Are ABD and DBE supplementary ?
    NO. They are complementary!
  • Rectangle J is 6 feet wide and 9 feet long. Rectangle K is 9 feet wide and 12 feet long. Rectangle L is 15 feet wide and 22.5 feet long. Are any of the rectangles similar?
    Yes. J and L
  • What can you tell me about a triangle formed with two angles and an included side?
    UNIQUE !
  • Find MN
    8
  • If two angles and an unknown side are given to you. Can you tell if the triangle is unique?
    No you can not
  • Multiple Choice: Which of the following could be the length of the third side of a triangle with side lengths 2 feet and 10 feet? A. 12ft B. 20ft C. 11ft D. 8ft
    C
  • If the two shapes are similar. AB is 8cm, AD is 12cm, WZ is 6cm then how big is WX?
    9cm