UNIT THREE REVIEW Geometry 217

True/False  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 and can be combined into a single translation. 

Fill-In  Describe the transformation given by the ordered pair rule (x, y)   (x+2, y-6).  Translation 2 right 6 down

Fill-In  When using the Pythagorean Theorem, the “c” value must always represent the length of the ___________________ of the right triangle.  Hypotenuse

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

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!  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  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  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____CONEPYRAMID ___2___CYLINDERPRISM 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.