Download Review for exam 1

MA418 – McAllister
Review for exam #1
1. Determine if the following statements are true or false.
__________a. Every equilateral triangle is acute, but not every acute triangle is equilateral.
__________b. Every square is a rectangle, and every rectangle is a square.
__________c. It is possible to have a right scalene triangle.
__________d. Octagons have six sides and look like a stop sign.
__________e. A kite has two pairs of congruent adjacent sides.
__________f. A trapezoid is a type of kite.
__________g. A triangle has at most two acute angles.
__________h. It is possible to have a right equilateral triangle.
__________i. Two angles are complementary if the sum of their measures is 180.
2. Match each term with the statement that best describes it mathematically.
_____a. isosceles trapezoid
1 a quadrilateral with all four sides congruent
_____b. cone
2. an angle that measures less than a right angle
_____c. supplementary angles
3. the line segment that crosses the center of a circle and has
endpoints on the circle.
_____d. right triangle
4. a polygon with 7 sides
_____e. obtuse triangle
5. two angles who measures add up to 180 degrees
_____f. acute angle
6. any line segment with endpoints on the circle
_____g. perpendicular
7. the distance around a circle
_____h. diameter
8. lines that meet at a 90 degree angle.
_____i. circumference
9. A triangle containing a 90 degree angle
_____j. rhombus
10. a polygon with 5 sides
_____k. heptagon
11. A triangle containing an angle greater than 90 degrees
12. a quadrilateral with one pair of // sides and one pair
of congruent sides
3. (Short answer) Of the following, which can not be used to describe a rectangle: closed polygonal curve,
quadrilateral, parallelogram, regular, equiangular, rhombus, square.
4. Find the measures of each interior angle of a regular 30-gon. (Show work)
5. List the 5 van Hiele Levels and give a short description of each.
6. Explain the difference between lines, rays, and line segments.
7. Draw an example of each of the following:
a. complementary angles
b. supplementary angles
8. Suppose you have 28 inches of wire and you want to form all of it into an isosceles triangle with side
measures that are whole inches. List all of the possible isosceles triangles you could make.
9. Convert 135⁰ 46’ 28” to decimal degrees. Convert 47.1435 to degrees, minutes, and seconds.
10. Use your protractor and ruler to draw an example of each of the following:
a. A quadrilateral with three angles that each measure 100⁰ and no two sides congruent. Label the
measures of each angle.
b. A right trapezoid. Mark the right angles with the appropriate symbol.
11. Let ABCDE be the pentagon shown below.
B
A
C
D
E
A. Using proper notation, list 3 diagonals in the figure.
B. If interior angles B, E and D are congruent and interior angles A and C are congruent and the
exterior angle at E = 55, find the measures of all of the interior angles of the pentagon. Explain how
you got your answer.
12. In the following diagram, <BXD is a right angle, <AXE is a straight angle, the m(<AXD) is 142 and the
m(<CXD) is 53. Find the measures of angles BXC, AXB, and DXE without using a protractor. Show your
work.
C
D
B
E
A
X