Summative Review

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Summative Review

• Part 1 Triangles
• Part 2 Lines, Rays, Angles
• Part 3 Polygons
• Part 4 Coordinate Geometry
• Part 5 Similarity
• Part 6 Miscellaneous

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Please Take Out Worksheet From Yesterday and
Continue Working!

• Grab your calculators if needed!
• (We will go over Part 1 Today)

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• Part 1 Triangles

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14. The angle of inclination from an ants eye to
the top of 75ft building is 42, how far is the
ant from the building?
15. An equilateral triangle has a side length of
6cm. Find the area of the triangle. Draw a
picture and show your computations.
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Part 2 Lines, Rays, Angles
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• Part 3 Polygons

• Find the sum of the measures of the interior
  angles
• of a regular hexagon.

2. Find the measure of an interior angle of a
regular pentagon. Show or explain your
work.
3. What is the sum of the measures of the
exterior angles of any polygon?
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• Which convex polygons interior angles has the
  same
• sum as the exterior angles? How do you know?

5. Find the measure of an exterior angle of a
regular octagon. Show or explain your
work.
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• Matt says that every quadrilateral with congruent
  
• diagonals is a square. Name a figure that
  can
• be used to disprove Matts statement.

• Which quadrilaterals could be classified as
• parallelograms? (trapezoid, rhombus,
  square,
• kite, rectangle)

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• Part 4 Coordinate Geometry

1) a) If triangle TRY is REFLECTED, what are the
coordinates of Y? b) If triangle TRY is
TRANSLATED, what are the coordinates of Y?
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2) A circle is drawn on a grid. The endpoints of
a diameter of the circle are (-2,17) and (8,
11). What are the coordinates of the center of
the circle?
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3) Given the diagram a) Write an equation of
a line that is PARALLEL to the line below and
through the point k. b) Write an equation of a
line that is PERPENDICULAR to the line below
and through k.
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• Part 5 Similarity

• In the figure on the right,
• ABCD is similar to DGFE.
• Find the length of CD.

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2. Two circles have radii in the ratio 32.
The larger circle has radii 12, what is the
circumference of the smaller circle?
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3. In the figures below, ABCDE is
similar to HIJKL, what is the length of HI?
What is the perimeter of HIJKL?
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• Part 6 Miscellaneous

• In the figure shown, ltMQN is congruent to ltPOQ
• and segment NQ is congruent to segment OQ.

Explain why ?MNQ is congruent to ?POQ. Use
geometric theorems or postulates in your
explanation.
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• A signed Jermaine Dye 2005 World Series baseball
• is in a cubic display box. The ball has radius 3
  inches
• and is snug in the box. What is the volume of
  space in
• the box that is not being occupied by Dyes ball?