UNIT THREE REVIEW Geometry 217

True/False  A translation is an arrangement of shapes that covers a plane completely without gaps or overlaps.

True/False  A cylinder is a solid with two bases that are congruent circles.

True/False  In a prism, the base can be any polygon and the lateral faces are triangles.

True/False  Two consecutive reflections across parallel lines 13 cm apart is equivalent to a single reflection of 26 cm.

True/False  A rotation slides a figure along a straight-line path, moving each point the same distance in the same direction.

Fill-In  What transformation rule causes a reflection over the x-axis? (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).

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

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 ________________.

Solve It!

Find the area of the enclosed region.

Solve It!

Draw It!  Reflect the triangle over the x-axis and translate it two units to the right. What are its new coordinates?

Draw It!  Show the minimal path from the tee to the hole.

Draw It!  A rectangle has perimeter 34 ft and width 5 ft. Find the length of the diagonal.

Draw It!  Find the area of an equilateral triangle with sides measuring 6 meters.

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.

Short Answer  Explain why the two legs in a 45º-45º-90º right triangle must have the same length.

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?

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 ___________ CONEPYRAMID ___________CYLINDERPRISM QUANTITY

Short Answer  Use diagrams, words, and numbers to explain why a regular hexagon tessellates.