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2-2 Ticket In
Geometry Period_____
Ticket In the Door!
After watching the assigned video and remembering how to copy an angle, you will perform
this construction below to demonstrate your mastery of this skill.
Use your compass to copy the measure of angle DEF onto segment GH.
οƒΌ Self-Assess!
I feel confident that I can copy an angle
and I am ready to move on.
Check Here:
I would feel more comfortable practicing this
skill first and then move on to other types of
practice problems!
Check Here:
Geometry Period_____
3-11 Notes
Lesson 3-11: Constructing a Parallel Line (through a point P)
Learning goal: How do I construct a line parallel to a given line through a specific point? How do I
justify the construction of parallel lines?
Let’s Discover A New Construction!
Fact Check Before we Construct!
State a pair of corresponding angles that you see below:
If we know that these angles are congruent,
what can we conclude about lines S and T?
Parallel Line Angle Theorem
If corresponding angles are congruent, then line m and line n are _________________.
Let’s Predict!
After looking at the model, how might we be able to use our knowledge of copying an angle to construct
parallel lines?
Constructing a Parallel Line
Watch Me!
Using a compass and a straightedge, construct a line (through point P) that is parallel
to line AB.
You Try!
Geometry Period______
1) Which geometric principle is used to justify the construction below?
a) A line perpendicular to one of two parallel lines
is perpendicular to the other.
b) Two lines are perpendicular if they intersect to
form congruent adjacent angles.
When two lines are intersected by a transversal
and alternate interior angles are congruent, the
lines are parallel.
d) When two lines are intersected by a transversal
and the corresponding angles are congruent,
the lines are parallel.
2) Based on the diagram below determine which lines are parallel, be sure to explain why.
3-11 Practice
3) In the figure to the right, 𝑨𝑩 || 𝑫𝑬 and 𝑩π‘ͺ || 𝑬𝑭. Thoroughly justify why
𝐛 = 𝐞.
(Hint: Extend 𝑩π‘ͺ and 𝑬𝑫.)