Download D.E.A.R

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How many ways are there to prove
figures/triangles are congruent? Explain one
of them
SAS, SSS, ASA, AAS, HL
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What is transformation?
Reflection, rotation, dilation, translation
When lines are parallel what do you know?
Angles – which ones are corresponding and
which are congruent
Similarity & Congruence
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(book reference pg. 453)
Goal: to prove that triangles are congruent
and to determine if 2 figures are similar using
properties of transformation
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http://youtu.be/GgDFg_ilMtg
Objective: prove using properties of similarity
transformations that if 2 angles of one
triangle are congruent to 2 angles of another
triangle, the triangles are similar (AA)
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Pg. 450
Angle angle similarity postulate
Side side side similarity
Side angle side similarity
Pg. 453 #3 (got it)
Indirect measurement – pg. 454
Pg. 454 #4 (got it)
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Lesson check pg. 455
1-6
When you identify angles and sides; don’t
forget the angle must be between the sides
OR the side between the angles
 What needs to be true to prove with HL
theorem?
 Can you recall the different types of angles
and which ones are congruent and which
ones equal 180 degrees?
 Linear and same side interior are 180
 Alt. interior, alt. exterior, corresponding, and
vertical are congruent
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What types of conditions help you to decide
which method of triangle congruency to use
when writing a proof?
Write a letter to a friend that was absent
multiple days that compares ASA, AAS, SSS,
SAS, HL and argue what method is best to
use.
Include what type of conditions help you to
decide which method to use. Be sure to
support your position with evidence
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What is a line?
Do lines play a part in circles?
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Is there a relationship between sector(piece)
of a pie and diameter?
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We see the circle does
Hula hoop
Dart board
Pizza
Cookies
Pie
Can you name others?
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What is the diameter of your cookie?
What is the circumference?
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What is the relationship of pi and math?
Explain in your own words
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Goal: determine if 2 figures are similar using
transformation properties; determine if 2
triangles are similar given angles and side
lengths; given angles & sides, determine if
similar
Extended proportions –
Scale factor –
Similar figures –
Prove
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Pg. 444 #10, 14, 16
Pg. 445 # 26, 28, 31
Pg. 277 #10 and #11
Show work
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Pg. 450
Angle angle similarity postulate
Skill based task:
◦ Is segment SU parallel to segment RV? Explain, why
or why not? (see diagram on board)
◦ Solve for x in the diagram on board
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7-3 due 3/18 (assignment)
7-4 challenge due 3/20
7-5 challenge due 3/20
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What is the AA similarity theorem and why
does it sufficiently determine whether two
triangles are similar or not?
Honors: why do we need to prove triangle
theorems?