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GEOMETRIC STRUCTUREChapter 1
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POINTS, LINES, & PLANES
Lesson 1-1
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VOCABULARY
Undefined term Point Line Collinear Plane Coplanar Space Locus
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EXAMPLE 1
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EXAMPLE 2
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EXAMPLE 3A
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EXAMPLE 3B
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EXAMPLE 4
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LINEAR MEASURE & PRECISIONLesson 1-2
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VOCABULARY
line segment precision congruent construction
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EXAMPLE 1
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EXAMPLE 2
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EXAMPLE 3
Find the precision for each measurement. Explain it’s meaning.
a. 5 millimeters
b. 8 ½ inches
c. 10 ¼ inches
d. 12.2 centimeters
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EXAMPLE 4A
Find AC
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EXAMPLE 4B
Find DE
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EXAMPLE 4C
Find y and QP if P is between Q and R. QP = 2y, QR = 3y + 1, and PR = 21.
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EXAMPLE 4D
Find x and BC if B is between A and C. AC = 4x – 12, AB = x, and BC = 2x + 3
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DISTANCE & MIDPOINTLesson 1-3
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VOCABULARY
midpoint segment bisector
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EXAMPLE 1
Use the number line to find CD.
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EXAMPLE 2 – DISTANCE FORMULA
Find the distance between R (5, 1) and S (-3, -3).
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EXAMPLE 2 – PYTHAGOREAN THEOREM
Find the distance between R (5, 1) and S (-3, -3).
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EXAMPLE 3
Find the midpoint of PQ.
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EXAMPLE 4
Find the coordinates of M, the midpoint of JK, for J (,-1, 2) and K (6, 1).
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EXAMPLE 5
Find the coordinates of X if Y (-1, 6) is the midpoint of XZ and Z has coordinates (2, 8).
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EXAMPLE 6
Find the measure of BC if B is the midpoint of AC.
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ANGLE MEASURELesson 1-4
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VOCABULARY
degree ray opposite rays angle sides vertex
interior exterior right angle acute angle obtuse angle angle bisector
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EXAMPLE 1
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EXAMPLE 2
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EXAMPLE 3
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ANGLE RELATIONSHIPSLesson 1-5
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VOCABULARY
adjacent angle vertical angles linear pair complementary
angles supplementary
angles perpendicular
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EXAMPLE 1
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EXAMPLE 2
Find the measures of two complementary angles if the difference in the measures of the two angles is 12.