Basic Mathematics for College Students

(Nandana) #1

  1. An triangle has three acute angles. An
    triangle has one obtuse angle. A triangle has
    one right angle.

  2. The longest side of a right triangle is called the
    . The other two sides of a right triangle are
    called.

  3. The angles of an isosceles triangle have the
    same measure. The sides of equal length of an
    isosceles triangle form the angle.

  4. In this section, we discussed the sum of the measures
    of the angles of a triangle. The word sumindicates the
    operation of.

  5. Complete the table.

  6. Draw an example of each type of triangle.
    a. isosceles b. equilateral


c. scalene d. obtuse

e. right f. acute


  1. Classify each triangle as an acute, an obtuse, or a right
    triangle.
    a. b.


c. d.


  1. Refer to the triangle shown below.
    a. What is the measure
    of?
    b. What type of triangle
    is it?
    c. What two line
    segments form the legs?
    d. What line segment is the hypotenuse?
    e. Which side of the triangle is the longest?
    f. Which side is opposite?

  2. Fill in the blanks.
    a. The sides of a right triangle that are adjacent to
    the right angle are called the.
    b. The hypotenuse of a right triangle is the side
    the right angle.

  3. Fill in the blanks.
    a. The triangle theorem states that if two
    sides of a triangle are congruent, then the angles
    opposite those sides are congruent.
    b. The of the isosceles triangle theorem
    states that if two angles of a triangle are
    congruent, then the sides opposite the angles have
    the same length, and the triangle is isosceles.

  4. Refer to the given triangle.
    a. What two sides are of
    equal length?
    b. What type of triangle is
    XYZ?


B


B


91 °

90 °

742 Chapter 9 An Introduction to Geometry


Number of Sides Name of Polygon
3 4 5 6 7 8 9

10
12

CONCEPTS



  1. Draw an example of each type of regular polygon.
    a. hexagon b. octagon


c. quadrilateral d. triangle

e. pentagon f. decagon


  1. Refer to the triangle below.
    a. What are the names of the vertices of the
    triangle?
    b. How many sides does the triangle have?
    Name them.
    c. Use the vertices to name this triangle in three
    ways.


HJ

I

A C

B

Z

Y

X
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