today in geometry… stats to ch. 2 test learning goal: 3.1 identify pairs of lines and angles...

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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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Page 1: 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

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

Page 2: 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

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

Page 3: 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

PARALLEL LINES: Two lines that do not intersect and are coplanar.

𝑨 𝑩

𝑪𝑫

𝑯 𝑮

𝑬𝑭

Page 4: 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

SKEW LINES: Two lines that do not intersect and are non-coplanar.

𝑨 𝑩

𝑪 𝑫

𝑯 𝑮

𝑬𝑭

Page 5: 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

PERPENDICULAR LINES: Two lines that intersect and form a right angle.

𝑨 𝑩

𝑪 𝑫

𝑯 𝑮

𝑬𝑭

Page 6: 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

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

Page 7: 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

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

Page 8: 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

1 23 4

5 6

7 8

TRANSVERSAL

TRANSVERSAL: a line that intersects two or more coplanar lines.

Page 9: 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

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

Page 10: 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

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.

Page 11: 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

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.

Page 12: 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

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.

Page 13: 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

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)

Page 14: 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

HOMEWORK #1:

Pg. 150: 11-15, 18-32, 43-44