Jeopardy!

1
Jeopardy!

• Chapter 5 Properties of Triangles

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Categories
Bisectors Midsegments Inequalities in a Triangle Hinge Theorem Chapter 5 Theorems
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
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Final Jeopardy!

• The category is Midsegments
• Decide how much you want to wager.

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• Given the midpoints of a triangle are (7, 4),
  (5,6), and (8, 7), which coordinates below are
  the vertices?
• (6, 9), (5, 4), (11, 6)
• B) (5, 4), (10, 5), (6, 9)
• (4, 3), (10, 5), (6, 9)
• (4, 3), (7, 9), (11,5)
• (4, 3), (6, 9), (11, 6)

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Bisectors

• For 100
• Is this enough information to decided if C is on
  the bisector of AB?

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Bisectors

• For 200
• What is the mltB?

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7
Bisectors

• For 300
• Which diagram allows you to conclude C is on the
  perpendicular bisector of AB?

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8
Bisectors

• For 400
• Which of the follow is true?
• I x gt z
• II z gt x
• III x z
• IV cannot be determined

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9
Midsegments

• For 100
• DE, EF, and DF are midsegments in the diagram.
  If DE 10, then AB ______?

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10
Midsegments

• For 200
• If the perimeter of ?FDE 18, then the perimeter
  of ?ABC _______?

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11
Midsegments

• For 300
• In ? MNO X, Y, and Z are midpoints of each side.
  If YZ 2x3 and MN 5x 14, then YZ
  ________.

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12
Midsegments

• For 400
• A(0, 4), B(8, 6), C(4, 0) and D is the midpoint
  of AB, E is the midpoint of BC, and F is the
  midpoint of AC. Show DF ½ BC.

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13
Inequalities

• For 100
• List the sides from shortest to longest.

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14
Inequalities

• For 200
• List the angles from smallest to largest.

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15
Inequalities

• For 300
• Given a piece of an 18-inch wire, using only
  whole numbers what are the lengths of three sides
  of an acute scalene triangle?

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16
Inequalities

• For 400
• X, Y, and Z are vertices of a triangle with sides
  of XZ 7, YZ 11. Write an inequality for
  possible side lengths of XY.

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17
Hinge Theorem

• For 100
• Which is longer, XZ or RT?

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18
Hinge Theorem

• For 200
• mlt1_____mlt2

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19
Hinge Theorem

• For 300
• Is the statement always, sometimes or never true?
• If mlt2 gt mlt1, then EDgtFD.

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20
Hinge Theorem

• For 400
• Use the diagram to write an inequality for x.
  (Solve for x!)

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21
Theorem

• For 100
• Name the Theorem
• If two sides of one triangle are congruent to two
  sides of another triangle, and the third side of
  the first is longer than the third side of the
  second, then the included angle of the first is
  larger than the included angle of the second.

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22
Theorems

• For 200
• Name the Theorem
• The segment connecting the midpoints of two sides
  of a triangle is parallel to the third side and
  is half as long.

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23
Theorems

• For 300
• Name the Theorem
• The sum of the lengths of any two sides of a
  triangle is greater than the length of the third
  side.

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24
Theorems

• For 400
• Name the Theorem
• If a point is on the perpendicular bisector of a
  segment, then it is equidistant from the
  endpoints of the segment.

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