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Key Concept: Undefined Terms Example 1: Name Lines and Planes
Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Undefined Terms Example 1: Name Lines and Planes Example 2: Real-World Example: Model Points, Lines, and Planes Example 3: Draw Geometric Figures Example 4: Interpret Drawings Lesson Menu
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What is the value of x2 + 3yz if x = 3, y = 6, and z = 4?
B. 33 C. 72 D. 81 5-Minute Check 1
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Solve 2(x – 7) = 5x + 4. A. –6 B. C. 2 D. 6 5-Minute Check 2
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Which is a solution of 3x + 4y = 14?
B. (–2, 5) C. (1, 3) D. (2, 3) 5-Minute Check 3
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Factor 9x2 – 25y2. A. (3x – 5y)2 B. (3x + 5y)2 C. (3x + 5y)(3x – 5y)
D. (9x + 5y)(x – 5y) 5-Minute Check 4
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Graph y = 3x + 2. A. B. C. D. 5-Minute Check 5
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You used basic geometric concepts and properties to solve problems.
Identify and model points, lines, and planes. Identify intersecting lines and planes. Then/Now
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undefined term definition defined term space point line plane
collinear coplanar intersection Vocabulary
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Concept
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A. Use the figure to name a line containing point K.
Name Lines and Planes A. Use the figure to name a line containing point K. Answer: The line can be named as line a. There are three points on the line. Any two of the points can be used to name the line. Example 1
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A. Use the figure to name a line containing the point X.
A. line X B. line c C. line Z D. Example 1a
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B. Name the geometric shape modeled by a button on a table.
Model Points, Lines, and Planes B. Name the geometric shape modeled by a button on a table. Answer: The button on the table models a point on a plane. Example 2
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A. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city.
A. point B. line segment C. plane D. none of the above Example 2a
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A. Choose the best diagram for the given relationship
A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines. A. B C. D. Example 3a
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A. How many planes appear in this figure?
Interpret Drawings A. How many planes appear in this figure? Answer: There are two planes: plane S and plane ABC. Example 4
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B. Name three points that are collinear.
Interpret Drawings B. Name three points that are collinear. Answer: Points A, B, and D are collinear. Example 4
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C. Are points A, B, C, and D coplanar? Explain.
Interpret Drawings C. Are points A, B, C, and D coplanar? Explain. Answer: Points A, B, C, and D all lie in plane ABC, so they are coplanar. Example 4
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Answer: The two lines intersect at point A.
Interpret Drawings Answer: The two lines intersect at point A. Example 4
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A. How many planes appear in this figure?
A. one B. two C. three D. four Example 4a
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B. Name three points that are collinear.
A. B, O, and X B. X, O, and N C. R, O, and B D. A, X, and Z Example 4b
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C. Are points X, O, and R coplanar?
A. yes B. no C. cannot be determined Example 4c
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A. point X B. point N C. point R D. point A Example 4d
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