unit three review geometry 217. true/false a translation is an arrangement of shapes that covers a...
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![Page 1: UNIT THREE REVIEW Geometry 217. True/False A translation is an arrangement of shapes that covers a plane completely without gaps or overlaps. False,](https://reader030.vdocuments.net/reader030/viewer/2022032605/56649e745503460f94b73f93/html5/thumbnails/1.jpg)
UNIT THREE REVIEW
Geometry 217
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True/False
A translation is an arrangement of shapes that covers a plane completely without gaps or overlaps.
False, tesselation
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True/False
A cylinder is a solid with two bases that are congruent circles.
True
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True/False
In a prism, the base can be any polygon and the lateral faces are triangles.
False, pyramid or rectangles
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True/False
Two consecutive reflections across parallel lines 13 cm apart is equivalent to a single reflection of 26 cm.
True
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True/False
A rotation slides a figure along a straight-line path, moving each point the same distance in the same direction.
False, translation
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Fill-In
What transformation rule causes a reflection over the x-axis? (x, y)(_____, ______)
(x, -y)
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Fill-In
The translations <2, 7> and <-3, 5> can be combined into a single translation <___, ____>.
<-1, 12>
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Fill-In
Describe the transformation given by the ordered pair rule (x, y)
(x+2, y-6).
Translation 2 right 6 down
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Fill-In
When using the Pythagorean Theorem, the “c” value must always represent the length of the ___________________ of the right triangle.
Hypotenuse
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Fill-In
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
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Solve It!
864 meters squared
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Solve It!
201 centimeters squared
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Solve It!
Find the area of the enclosed region.
374 feet
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Solve It!
533 or 534 ft squared
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Solve It!
26
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Draw It!
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)
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Draw It!
Show the minimal path from the tee to the hole.
On paper. Bounce off top from T then go to H
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Draw It!
A rectangle has perimeter 34 ft and width 5 ft. Find the length of the diagonal.
13 ft
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Draw It!
Find the area of an equilateral triangle with sides measuring 6 meters.
15.6 meters squared
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Draw It!
Draw a figure that has rotational symmetry, but NOT horizontal or vertical line symmetry.
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Short Answer
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.
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Short Answer
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
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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
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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
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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.