Download Name: TP: ____ CRS PPF 601 – Apply properties of 30-60

Name: _____________________________ TP: ____
CRS
Objective
CW#44H: Apply Congruence and Triangles
Honors Geometry
PPF 601 – Apply properties of 30-60-90, 45-45-90, similar, and congruent triangles
8.6 Identify corresponding sides and angles of congruent triangles
8.7 Use the Third Angle Theorem to find missing angles in congruent triangles
Congruent figures = _________________________________________________________________________
Congruent?
Congruent?
Congruent?
Corresponding parts = _______________________________________________________________________
When you write a congruence statement for two polygons, always list
the corresponding vertices in the same _____________________.
You can write congruence statements in more than one way, as long as
the vertices are listed in the correct order for ______________________.
Correct!
Correct!
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Incorrect!
1) EGI and QMO are congruent
2) TRV and YXZ are congruent
List corresponding angles:
1. _____________
2. _____________
3. _____________
List corresponding sides:
1. _____________
2. _____________
3. _____________
List corresponding angles:
1. _____________
2. _____________
3. _____________
List corresponding sides:
1. _____________
2. _____________
3. _____________
3) In the diagram to the below, QRST  WXYZ.
4) Given HJK   TRS, find the values of a and b.
a. Find the value of x.
b. Find the value of y.
The _______________________________________________________ can be used to solve for missing angles in congruent
triangles. It will also lead us to theorems that will help us prove that triangles are congruent.
Use the plan below to write a proof for the Third Angles Theorem.
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5) Find the value of y.
6) Find the value of y.
What theorem(s) did were used to find the value of
y?
a) Triangle Sum Theorem
b) Exterior Angle Theorem
c) Third angles Theorem
7) Use the Third Angles Theorem to find mV.
What theorem(s) did were used to find the value of
y?
a) Triangle Sum Theorem
b) Exterior Angle Theorem
c) Third angles Theorem
SUT  VUW by the ________________________________. The diagram shows that
STU  _________ , so by the Third Angles Theorem, S  _________. By the Triangle Sum Theorem, mS =
__________________ = _______. So, mS  mV = _______ by the definition of congruent angles.
8) Find the value of the indicated angle.
9) Given  ABC  DEF, find the values of x and y.
10) Find the value of the indicated angle.
11) Find the values of x and y.
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Example 5: Prove that triangles are
congruent.
Given
Prove
FH  JH ,FG  JG ,
FHG  JHG, FGH  JGH
FGH  JGH
12. Prove that triangles are congruent.
Given
Prove
E is the midpoint of AC and BD
ABE  CDE
TEXTBOOK 228 – 229: 5 – 14 ODDS ONLY, 15-21, 26
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