Download Unit Three Review Answers

UNIT THREE REVIEW
Geometry 217
True/False
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
A translation is an arrangement of shapes
that covers a plane completely without
gaps or overlaps.
False, tesselation
True/False


A cylinder is a solid with two bases that
are congruent circles.
True
True/False


In a prism, the base can be any polygon
and the lateral faces are triangles.
False, pyramid or rectangles
True/False


Two consecutive reflections across parallel
lines 13 cm apart is equivalent to a single
reflection of 26 cm.
True
True/False


A rotation slides a figure along a
straight-line path, moving each point the
same distance in the same direction.
False, translation
Fill-In


What transformation rule causes a reflection over
the x-axis?
(x, y)(_____, ______)
(x, -y)
Fill-In


The translations <2, 7> and
<-3, 5> can be
combined into a single translation <___, ____>.
<-1, 12>
Fill-In

Describe the transformation given by the ordered
pair rule (x, y)
(x+2, y-6).

Translation 2 right 6 down

Fill-In
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
When using the Pythagorean Theorem, the “c” value
must always represent the length of the
___________________ of the right triangle.
Hypotenuse
Fill-In
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
The length of the segment whose endpoints are at
the center of a regular polygon and the midpoint of
one of its sides is called the ________________.
Apothem
Solve It!
864 meters squared
Solve It!
201 centimeters
squared
Solve It!
Find the area of the enclosed region.
374 feet
Solve It!
533 or 534 ft squared
Solve It!
26
Draw It!
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
Reflect the triangle over the x-axis and translate it
two units to the right. What are its new
coordinates?
A’’(1, -5) B’’(-1, -4) C’’ (4, -3)
Draw It!

Show the minimal path from the tee to the hole.

On paper. Bounce off top from T then go to H
Draw It!


A rectangle has perimeter 34 ft and width 5 ft. Find
the length of the diagonal.
13 ft
Draw It!


Find the area of an equilateral triangle with sides
measuring 6 meters.
15.6 meters squared
Draw It!

Draw a figure that has rotational symmetry, but
NOT horizontal or vertical line symmetry.
Short Answer
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
Given A (0,4) and B(3,0), show that the
Pythagorean Theorem and the distance formula
give the same result for the length of AB.
Same answer 5. show both formulas.
Short Answer
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
Explain why the two legs in a 45º-45º-90º right
triangle must have the same length.
Isosceles triangle, both angles the same so side
lengths the same
Short Answer


Explain, in words, the difference between “height”
and “slant height” in a pyramid or cone. Which one
do we use when calculating surface area?
Height inside, slant height outside, use slant height
Short Answer

Fill in the titles of each column and row to describe
the quantity and type of base(s) for each solid
figure:
TYPE
__Circle___
___Polygon_
___1____
CONE
PYRAMID
___2___
CYLINDER
PRISM
QUANTITY
Short Answer


Use diagrams, words, and numbers to explain why
a regular hexagon tessellates.
The sum of the angles at the point where the
vertices meet equals 360 degrees.