today in geometry… stats to ch. 2 test learning goal: 3.1 identify pairs of lines and angles...
TRANSCRIPT
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TODAY IN GEOMETRY…
STATs to Ch. 2 Test
Learning Goal: 3.1 Identify pairs of lines and angles formed by intersecting lines
Independent Practice/Return Ch.2 Tests
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HOW DID YOU “SHAPE” UP??Results for ALL of my Geometry classes:
GRADE NUMBER OF STUDENTS WHO TOOK THE CH.2 TEST (32 pts.)
1ST PERIOD 3RD PERIOD 5TH PERIOD 6TH PERIOD TOTAL
A 2 7 7 6 22B 5 9 11 6 31C 6 8 4 7 25D 4 5 1 6 16F 6 0 2 2 10
Avg. 22.54 25.97 26.70 24.91 25.03
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PARALLEL LINES: Two lines that do not intersect and are coplanar.
𝑨 𝑩
𝑪𝑫
𝑯 𝑮
𝑬𝑭
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SKEW LINES: Two lines that do not intersect and are non-coplanar.
𝑨 𝑩
𝑪 𝑫
𝑯 𝑮
𝑬𝑭
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PERPENDICULAR LINES: Two lines that intersect and form a right angle.
𝑨 𝑩
𝑪 𝑫
𝑯 𝑮
𝑬𝑭
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PARALLEL POSTULATE: Given a line and a point not on the line, there is exactly one line through the point that is parallel to the given line.
A B
P
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PERPENDICULAR POSTULATE: Given a line and a point not on the line, there is exactly one line through the point that is perpendicular to the given line.
A B
P
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5 6
7 8
TRANSVERSAL
TRANSVERSAL: a line that intersects two or more coplanar lines.
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CORRESPONDING ANGLES (CA): Angles in the exact same position.
1 23 4
5 6
7 8Angles of the same color are corresponding angles.
1 23 4
5 67 8
TRANSVERSAL
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ALTERNATE INTERIOR ANGLES (AIA): Angles that lie between the two lines and on opposite sides of the transversal.
1 23 4
5 6
7 8
Angles of the same color are alternate interior angles.
3 4
5 6
TRANSVERSAL Interior angles are in the space between the two black lines.
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ALTERNATE EXTERIOR ANGLES (AEA): Angles that lie outside the two lines and on opposite sides of the transversal.
1 23 4
5 6
7 8Angles of the same color are corresponding angles.
1 2
7 8
TRANSVERSAL Exterior angles are in the space outside the two black lines.
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CONSECUTIVE INTERIOR ANGLES (CIA): Two angles that lie between the two lines and on the same side of the transversal.
1 23 4
5 6
7 8
Angles of the same color are alternate interior angles.
3 4
5 6
TRANSVERSAL Interior angles are in the space between the two black lines.
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1 2
78
3 4
56
9 10
16 15 11 12
1314
Identify the following angles:
2 Corresponding angles: (sample answers)
2 Alternate interior angles:(sample answers)
2 Alternate exterior angles:(sample answers)
2 Consecutive Interior angles:(sample answers)
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HOMEWORK #1:
Pg. 150: 11-15, 18-32, 43-44