splash screen. over lesson 1–1 5-minute check 1 a.a, b, q b.b, q, t c.a, b, t d.t, a, q name three...
TRANSCRIPT
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Over Lesson 1–1
A. A, B, Q
B. B, Q, T
C. A, B, T
D. T, A, Q
Name three collinear points.
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Over Lesson 1–1
What is another name for AB?
A. AA
B. AT
C. BQ
D. QB
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Over Lesson 1–1
Name a line in plane Z.
A. AT
B. AW
C. AQ
D. BQ
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Over Lesson 1–1
Name the intersection of planes Z and W.
A. BZ
B. AW
C. AB
D. BQ
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Over Lesson 1–1
A. 2
B. 4
C. 6
D. infinitely many
How many lines are in plane Z?
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Over Lesson 1–1
A. The intersection of a line and a plane is a point.
B. There is only one plane perpendicular to a given plane.
C. Collinear points are also coplanar.
D. A plane contains an infinite number of points.
Which of the following statements is always false?
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Content Standards
G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Mathematical Practices
6 Attend to precision.
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You identified and modeled points, lines, and planes.
• Measure segments.
• Calculate with measures.
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• line segment
• betweenness of points
• between
• congruent segments
• construction
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Length in Metric Units
A. Find the length of AB using the ruler.
The ruler is marked in millimeters.
Point B is closer to the 42 mm mark.
Answer: AB is about 42 millimeters long.
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Length in Metric Units
B. Find the length of AB using the ruler.
Each centimeter is divided into fourths.
Point B is closer to the 4.5 cm mark.
Answer: AB is about 4.5 centimeters long.
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A. 2 mm
B. 1.8 mm
C. 18 mm
D. 20 mm
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A. 1 cm
B. 2 cm
C. 2.5 cm
D. 3 cm
B.
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Length in Standard Units
Each inch is divided into sixteenths. Point E is closer to the 3-inch mark.
A.
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Length in Standard Units
B.
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A.
A.
B.
C.
D.
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A.
B.
C.
D.
B.
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Find Measurements by Adding
Find XZ. Assume that the figure is not drawn to scale.
XZ is the measure of XZ. Point Y is between X and Z. XZ can be found by adding XY and YZ.
___
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Find Measurements by Adding
Add.
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A. 16.8 mm
B. 57.4 mm
C. 67.2 mm
D. 84 mm
Find BD. Assume that the figure is not drawn to scale.
B
C
D
16.8 mm
50.4 mm
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Find Measurements by Subtracting
Find LM. Assume that the figure is not drawn to scale.
Point M is between L and N.
LM + MN = LNBetweenness of points
LM + 2.6 = 4Substitution
LM + 2.6 – 2.6= 4 – 2.6Subtract 2.6 from
each side.
LM = 1.4Simplify.
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Find TU. Assume that the figure is not drawn to scale.
TU
V3 in
A.
B.
C.
D.
in.
in.
in.
in.
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Write and Solve Equations to Find Measurements
ALGEBRA Find the value of x and ST if T is between S and U, ST = 7x, SU = 45, and TU = 5x – 3.
ST + TU = SU Betweenness of points
7x + 5x – 3 = 45 Substitute known values.
7x + 5x – 3 + 3 = 45 + 3 Add 3 to each side.
12x = 48 Simplify.
Draw a figure to represent this situation.
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Write and Solve Equations to Find Measurements
x = 4 Simplify.
ST = 7x Given
= 7(4) x = 4
= 28 Multiply.
Answer: x = 4, ST = 28
Now find ST.
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A. n = 3; WX = 8
B. n = 3; WX = 9
C. n = 9; WX = 27
D. n = 9; WX = 44
ALGEBRA Find the value of n and WX if W is between X and Y, WX = 6n – 10, XY = 17, and WY = 3n.
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