JEOPARDY Honors Geometry

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JEOPARDYHonors Geometry

• Review for Spring 2007 Exam

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HONORS GEO JEOPARDY
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CCDS DOUBLE JEOPARDY !
FJ
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Name That Polygon200

• What quadrilateral has four congruent sides and
  two pairs of opposite parallel sides?

A rhombus
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Name That Polygon 400

• What is the figure below?

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A trapezoid
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Name That Polygon 600

• For what kind of polygon are all sides congruent
  and all interior angles congruent?

• A regular polygon

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Name That Polygon 800

• If both pairs of opposite angles in a
  quadrilateral are congruent, then the
  quadrilateral is .

• A parallelogram

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Name That Polygon 1000

• Define kite.

• A quadrilateral that has two pairs of consecutive
  congruent sides, but opposite sides are not
  congruent.

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Angles200

• What is the sum of the measures of the exterior
  angles, one from each vertex, of a convex
  polygon?

360
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Angles 400

• What is the sum of the measures of the interior
  angles of a convex n-gon?

(n-2) 180
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Angles 600

• What is the measure of each interior angle of a
  regular n-gon?

1/n (n-2) 180
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...DAILY DOUBLE!.

• What is the measure of each interior angle of a
  regular nonagon?

• 140

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Angles 1000

• In an isosceles triangle with a vertex angle of
  47, what is the measure of each base angle?

66.5
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Ratios and Proportions200

• What is a proportion?

An equation that equates two ratios.
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Ratios and Proportions 400

• Solve 3/(y 2) 2/y

y 4
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Ratios and Proportions 600

• The team won 13 of their 16 regular-season games.
  What is the ratio of losses to wins?

313
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Ratios and Proportions 800

• The ratio of corresponding perimeters of two
  similar hexagons is 57. What is the ratio of
  their corresponding sides?

57
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Ratios and Proportions 1000

• Solve (b 2)/3 4/(b-2)

4 and -4
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Similarity200

• Define similar.

Same shape, but not necessarily the same size.
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Similarity 400

• A, S, or N All regular hexagons are similar.

Always
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Similarity 600

• A, S, or N A square and a rhombus are similar.

Sometimes
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Similarity 800

• List all the ways to prove that two triangles are
  similar.

Definition of Similar Polygons, AA Similarity
Postulate, SSS Similarity Theorem, and SAS
Similarity Theorem.
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Similarity 1000

• Solve for x

15/4
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Right Triangles 400

• In a right triangle, what is the sine of an acute
  angle?

The ratio of the side opposite the angle to the
hypotenuse.
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Right Triangles 800

• In a 30-60-90 triangle, what is the ratio of the
  three sides (shortest to longest)?

xxv32x
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Right Triangles 1200

• A ladder is leaning against Sallie's house. The
  ladder makes a fifty degree angle with the
  ground, and the ladder is eight feet from the
  foot of Sallie's house. (a) How long is the
  ladder? (b) How high up on the house is the
  ladder?

(a) 12.4 feet (b) 9.5 feet
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Right Triangles 1600
The lengths of three sides of a triangle are 6,
7, and v13 . Is it a right triangle? How do you
know?
Yes, because 62 (v13)2 72
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Right Triangles 2000

• Name two different triangles that are similar to
  triangle DBA.

Triangles DCB and BCA
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Circles 400

• If two segments from the same exterior point are
  tangent to a circle, then whats true about those
  two segments? Whats the name of this theorem?

They are congruent. This is the infamous
conehead theorem.
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Circles 800

• What does it mean for a circle to be inscribed in
  a polygon?

It means each side of the polygon is tangent to
the circle.
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Circles 1200

• An equilateral triangle is inscribed in a circle.
  What is the measure of an arc that spans a side
  of the triangle?

120
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.DAILY DOUBLE!

• Segment AC is a diameter of circle B. What is
  the measure of arc AD?

75
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Circles 2000
Under what conditions does a diameter of a circle
bisect a chord and its arc?
When the diameter is perpendicular to the chord.
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Planar Measurements 400
A, S, N Two polygons that have the same
perimeter have the same area.
Sometimes
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Planar Measurements 800

• What is the area of a parallelogram with a 60
  angle and sides of 4 feet and 10 feet?

(20v3) square feet
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Planar Measurements 1200

• What is the area of a rhombus with sides of 10
  inches and a 60 angle?

(50v3) square inches
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Planar Measurements 2000

• What is the area of an isosceles trapezoid with a
  midsegment of 18 cm and a height of 5 cm?

90 cm2
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Planar Measurements 1600

• Whats the area of an equilateral triangle with a
  height of 12 inches?

(48v3) square inches
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Space Measurements400

• A cylinder has a surface area of 150pi square
  inches and a height of 10 inches. What is the
  radius of the cylinder?

5 inches
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Space Measurements 800

• Whats the surface area of a triangular pyramid,
  if the base is an equilateral triangle with sides
  of 8 inches and the lateral edge is 10 inches?

(16v3 24v21) square inches
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...DAILY DOUBLE!.

• Whats the volume of a triangular pyramid, if the
  base is an equilateral triangle with sides of 8
  inches and the lateral edge is 10 inches? ROUND
  YOUR ANSWER TO THE NEAREST TENTH.

Approximately 82.2 cubic inches. (The slant
height is 2v21 and the height of the pyramid is
about 8.9.)
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Space Measurements 1600

• Whats the surface area of a hemisphere with
  radius 6 meters?

108 pi square meters
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Space Measurements 2000

• Whats the volume of a cone with radius 9 inches
  and a slant height of 15 inches?

324 pi cubic inches
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FINAL JEOPARDY
Geometry
What do you call a dead bird?
A polygon