Answers
Set 62
- b.Points, lines, and planes do not occupy space, but figures
do.The area of a figure is how much space that figure occupies,
always represented by a positive number. Choice ais incorrect
because area is never a negative number. Choice cis incorrect
because the area of a plane is infinite; when you measure area, you
are only measuring a part of that plane inside a polygon. - c.Area is a 2-dimensional measurement of space within a planar
figure, so it is always expressed in square units, such as four miles^2
to indicate the two dimensions. - c.The area of a closed figure is equal to the area of its
nonoverlappingparts. This answer doesn’t have to be broken
down into all triangles—quadrilateral CDEH is a part of the
figure. However, none of the answers can include quadrilateral
CDEH and ΔCEH because they share interior points. Also,
ΔAHG is not part of the closed figure; in fact, it isn’t closed at all. - d.The heightof a triangle is always a line segment from the base to
a vertex, forming a 90-degree angle. The most important thing
about height is that it forms a right angle with the base. - b.An apothem extends from the center of a polygon to a side of
the polygon. All apothems are perpendicular bisectors and only
span half the length of a polygon. A radius (to be discussed in a
later chapter) extends from the center point of a polygon to any
vertex. Two consecutive radii form a central angle. Apothems are
not radii.
Set 63
- False. The rhombus is not a square, it is a tilted square which
makes its height less than 5 feet. Consequently, the area of the
square is 25 square feet, but the area of the rhombus is less than 25
square feet.
501 Geometry Questions