SECTION 3.6 Using perpendicular and parallel lines
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SECTION 3.6 USING PERPENDICULAR AND PARALLEL LINES LEARNING TARGETS: 1. Students will be able to construct parallel and perpendicular lines with a compass and straightedge. 2. Students will be able to use the parallel and perpendicular postulate. VOCABULARY 1. Constructio n 2. Parallel 3. Perpendicul ar
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VOCABULARY Construction Parallel Perpendicular. SECTION 3.6 Using perpendicular and parallel lines. LEARNING TARGETS: Students will be able to construct parallel and perpendicular lines with a compass and straightedge. Students will be able to use the parallel and perpendicular postulate. - PowerPoint PPT Presentation
Transcript of SECTION 3.6 Using perpendicular and parallel lines
SECTION 3.6USING PERPENDICULAR AND PARALLEL LINES
LEARNING TARGETS:1. Students will be able to
construct parallel and perpendicular lines with a compass and straightedge.
2. Students will be able to use the parallel and perpendicular postulate.
VOCABULARY1. Construction2. Parallel3. Perpendicular
Vocabulary: CONSTRUCTION:
A geometric drawing that uses a limited set of tools, usually a compass and a straightedge (a ruler without marks)
You cannot “measure” with a protractor or ruler when making constructions.
Example (Notes)
REVIEW!
Example (Notes)
REVIEW!
STEP 1:
STEP 2:
STEP 3:
STEP 1:
STEP 2:
STEP 3:
CONSTRUCTION #3:
Step 1, Construction #1 Step 2, Construction #2
Constructing Parallel Line:
Vocabulary:
PARALLEL POSTULATE If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
Vocabulary:
PERPENDICULAR POSTULATE: If there is a line and a point not
on the line, then there is exactly one line through the point perpendicular to the given line.
THEOREM: THEOREM 3.11:
If two lines are parallel to the same line, then they are parallel to each other.
If a || b and b || c, the a || c
THEOREM: THEOREM 3.12:
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
If f and f e, the d || e
Example (Notes)
Example (Notes)
Concept Check (Notes)
Daily Puzzler
Cooperative Learning:
Construction Problems from Homework:
Answers drawn on Chalkboard
HOMEWORK:Section 3.6 AssignmentPage 147, #1-17, 19-25, 27, 28
Due Wednesday, 11/16
