Intensified Geometry Midterm Exam Review: Topics and Sample Problems

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IntGeom_MidtermReview.notebook
January 31, 2014
Intensified Geometry Midterm Exam Review: Topics and Sample Problems
Geometry Problem with Algebra application:
In a triangle, one angle is 2 times the measure of the smallest angle and the
3rd angle is 3 times the measure of the smallest angle. Find the measures of
the angles.
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Conditional Statements:
Original Statement:
If "p" then "q"
Converse:
If "q" then "p"
Inverse:
If "not p" then "not q"
Contrapositve:
If "not q" then "not p"
Biconditional Statement:
"p" if and only if "q"
What is true about the original statement and the contrapositive?
What about the converse and inverse?
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Classify Triangles:
By Sides:
By Angles:
equilateral _______________
equiangular _________________
isosceles ________________
acute _____________________
scalene __________________
obtuse _____________________
right ______________________
Regular Triangle: E__________ and E____________
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Exterior Angle Theorem
m<4 = _______________
Name the Remote Interior angles
2
1
3
4
<3 and <4 are a__________ and s______________
Vertical angles are ___________
1
2
Complementary angles: ___________________
Supplementary angles: ___________________
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Polygons:
Concave and Convex
(nonconcave)
Regular polygon is __________________________
Interior angle sum: (n-2)180
Exterior angle sum: 360
Each int. angle in a reg. polygon:
(n-2)180
n
Each ext. angle in a reg. polygon:
360
n
What is the other way to find the interior angle of a regular polygon
if the exterior angle is known? _________________________
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In triangle ABC, MN is a midsegment
m(MN) = ______ m(AC) and
MN ____ AC
In trapezoid ABCD, XY is a midsegment
m(XY) = _____________
XY _____ BC ______ AD
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l1 is parallel to l2
1 2
3 4
5 6
7 8
l1
l2
Give examples of the following and describe the relationship:
Corresponding ___________
Alternate Interior _____________
Same-side Interior _____________
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Isosceles Triangle Theorem and Converse
A
B
C
If two sides of a triangle are congruent, then the
_____________________________________
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Remember your Properties!
Reflexive Property: ______________________________
Symmetric Property: ______________________________
Transitive Property: ______________________________
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F
A
A
A
D
E
Proving Triangles Congruent:
What are the 5 ways triangles can be proved congruent?
Which one can only be used with right triangles?
What does CPCTC mean?
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A
X
B
C
In a triangle, the largest angle is always opposite the
____________ side.
What are possible values for "X"? ________________
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The Hinge Theorem and its Converse:
1
2
Hinge Theorem:
________________________________________________
________________________________________________
Converse:
________________________________________________
________________________________________________
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List the properties of Parallelograms and the "Special"
parallelograms covered in class....
?
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Segment Addition Postulate
A
B
C
AB = 30
solve for "x" ___________
Angle Addition Postulate
D
F
E
G
<DEG = 100
solve for "x" ___________
find the measures of the angles ___________
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The Perpendicular Bisector Theorem
Converse of The Perpendicular Bisector Theorem
C
A
B
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The Point on the Angle Bisector Theorem
Converse of The Point on the Angle Bisector Theorem
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Distance Formula:
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Complete for Tuesday:
pg. 114,115: 144 pg. 200, 201: 129 (omit: 11,18,24,25)
pg. 239: 110 19
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Intensified Geometry Midterm Exam Review: Topics and Sample Problems

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