Basic Mathematics for College Students

NOTATION Fill in the blanks. The symbol is read as “ AB.” The symbol is read as “ AB.” The symbol is read as “ AB.” We read as ...

Refer to the figure below. Find the measure of each angle. See Example 3. First find .Then find and .See Example 4 ...

Refer to the figure below where , , and. a. What is the complement of? b. What is the supplement of? Refer to the figure below ...

9.2 Parallel and Perpendicular Lines 725 WRITING PHRASES Explain what you think each of these phrases means. How is geometry in ...

726 Chapter 9 An Introduction to Geometry (a) (b) l 1 l 2 l 1 l 2 Parallel lines Perpendicular lines Parallel Lines Parallel lin ...

In the figure below, four interior anglesare formed. Interior angles , , , and In the figure below, two pairs of alternate int ...

728 Chapter 9 An Introduction to Geometry Solution a.To identify corresponding angles, we examine the angles to the right of the ...

Some geometric figures contain two transversals. 9.2 Parallel and Perpendicular Lines 729 EXAMPLE (^2) Refer to the figure. If a ...

730 Chapter 9 An Introduction to Geometry Since the angles are congruent, their measures are equal. To eliminate 6xfrom the righ ...

9.2 Parallel and Perpendicular Lines 731 b.To find the measures of the angles in the figure, we evaluate the expressions and for ...

In the figure below, on the left, . When two parallel lines are cut by a transversal, angles on the same side of the transversa ...

In the figure below,. Which pairs of angles are congruent? See Example 3. In Problems 27 and 28,. First find. Then determine t ...

In Problems 35–38, first find. Then determine the measure of each angle that is labeled in the figure. 35. 36. 37. 38. APPLICATI ...

CARPENTRY A carpenter cross braced three ’s as shown below and then used a tool to measure the three highlighted angles in red. ...

Polygons are formed by fitting together line segments in such a way that no two of the segments intersect, except at their endp ...

9.3 Triangles 737 Solution a.From the figure on the previous page, we see that a triangle has three angles and therefore three v ...

Triangles may also be classified by their angles, as shown below. 738 Chapter 9 An Introduction to Geometry Right triangle (has ...

9.3 Triangles 739 The Language of Mathematics Tick markscan be used to denote the sides of a triangle that have the same length. ...

740 Chapter 9 An Introduction to Geometry EXAMPLE (^3) In the figure, find. StrategyWe will use the fact that the sum of the ang ...

9.3 Triangles 741 SolutionBy the isosceles triangle theorem, if one of the base angles measures 70°, so does the other. (See the ...