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Model a point, line, and plane with a representative drawing. Label your drawing.
Compare undefined and defined terms by completing the table. Provide definitions and examples.
Points, Lines, and Planespp. 5–6
Intersections of Lines and Planespp. 6–7
Term Definition Examples
defined term
undefi ned term
Helping You Remember Recall or look in a dictionary for the meaning of the prefix co-. What does the prefix mean? How can it help you remember the meaning of collinear?
What You’ll Learn Scan the text under the Now heading. List two things you will learn about in this lesson.
1.
2.
New Vocabulary Fill in each blank with the correct term or phrase.
Between any two on a line there is another
.
a portion of a with two
point A is between two other points, B and C; A, B, and C
are on the same line, and + =
method of creating without
two with the same
Vocabulary Link Congruent segments can be illustrated by real-world examples. Consider opposite sides of this book. The lines are the same size. Write some real-world examples of other congruent segments.
Model the three types of methods to calculate measures of a line segment with an example.
Measure Line Segmentspp. 14–15
Calculate Measurespp. 15–17
Find measurements by subtracting.
Find measurements by writing and solving equations.
Find measurements by adding.
Helping You Remember Construction is a word used in everyday English as well as in mathematics. Look up construction in the dictionary. Explain how the everyday definition can help you remember how construction is used in mathematics.
New Vocabulary Write the definition next to each term.
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Vocabulary Link Midpoint can have non-mathematical meanings as well. Look up midpoint in the dictionary. Explain how the English definition can help you remember how midpoint is used in mathematics.
Fill in the organizer for the distance formula on a number line and a coordinate plane with line segment AB, with endpoints (x1, y1) and (x2, y2).
Model the solution to find the distance between the points on the coordinate plane. Use the lines to show your calculations. Round to the nearest tenth if necessary.
New Vocabulary Label the diagram with the correct terms. Use each term once.
Vocabulary Link Perpendicular has a nonmathematical meaning. Look up perpendicular in the dictionary. List at least five examples of things that are perpendicular in everyday life.
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Active Vocabulary
1
2 3
45
∠1 and ∠2 are angles
and a .
Lines w and x are.
∠4 and ∠5 are angles
and angles.
∠1 and ∠3 are angles.
x
w
adjacent
linear pair
vertical
complementary
supplementary
perpendicular
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Summarize angle relationships by completing the graphic organizer with the terms adjacent angles, complementary angles, vertical angles, and supplementary angles.
If m∠ABC = 2x + 12, find x so that ⎯⎯ � BC ⊥
⎯⎯ � BA .
= definition of perpendicular
= Simplify.
Pairs of Anglespp. 46–48
Perpendicular Linespp. 48–50
relationship due to positioning
relationship due to angle measures
Special angle pairs
Helping You Remember Look up the nonmathematical meaning of supplementary in a dictionary. How can this definition help you to remember the meaning of supplementary angles?
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Complete the concept circle by drawing in a fourth example. Then state the relationship of the 4 figures on the line below the concept circle.
The relationship is: ————————————————————————————
Organize information about volume and surface area in the chart.
Figure
Surface Area
Volume
Identify Three-Dimensional Figurespp. 67–68
Surface Area and Volumepp. 69–70
Helping You Remember A good way to remember the characteristics of geometric solids is to think of how different solids are alike. Name a way which pyramids and cones are alike.