Download Chapter 4 Review - Ithaca Public Schools

Name: ___________________________
Geometry A - Chapter 4 Review
Chapter 4
The words below may be used to complete most of the blanks. Some terms may be used more than
once, some not at all, and not all of the blanks may be completed using one of the terms below.
You are responsible on the final to be familiar with all of these terms even if they are not used in
this exercise. In addition, you may need to look up certain formulas to fill certain blanks:
Base Angles (Isosceles Triangle) Scalene Triangle
Isosceles Triangle
Base (Isosceles Triangle)
Congruent Polygons
Corollary
Congruent Triangles
Hypotenuse
Legs (Right Triangle)
Legs (Isosceles Triangle)
Vertex Angle (Isosceles Triangle) SSS
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
SAS
ASA
AAS
The two congruent sides of an ___________________________ triangle are the
___________________________. The congruent angles are the ___________________________. The
congruent sides made up the ___________________________. In an isosceles triangle, the two angles
that are not the vertex angle are always ___________________________ (Isosceles Angle Base Angle
Theorem). The side opposite the vertex angle of an isosceles triangle is called the
___________________________. Sides opposite congruent angles in a triangle are
___________________________. Angles opposite congruent sides in a triangle are
___________________________.
If you know that two triangles are ___________________________, then the corresponding
sides and angles are congruent because of ___________________________.
In a ___________________________ triangle (one with a 90 degree angle), the side opposite the
90 degree angle is the ___________________________. The other two sides are the
___________________________.
A ___________________________ to a theorem is a statement that follows immediately from
that theorem.
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Name: ___________________________
Geometry A - Chapter 4 Review
___________________________ polygons have congruent corresponding parts. When you
name congruent polygons, always name ___________________________ vertices in the same order.
___________________________ triangles have three pairs of congruent corresponding
___________________________ and three pairs of congruent corresponding
___________________________ by definition. However, we can save work by using various
postulates and theorems to show triangles are congruent without having to show all 6 matching side
pairs and angle pairs. For example, by ___________________________, if three sides of one triangle
are congruent to three sides of another, then the two triangles are ___________________________.
Likewise, if two sides and the included angle of one triangle are congruent to two sides and the included
angle of another, then the ___________________________ because of
___________________________. Also, if two angles and the included
___________________________ of one triangle match those of another, the triangles are congruent by
ASA. Finally, two triangles are congruent by ___________________________ if two angles and the
non-included sided match. Usually, however, SSA does not work, except for in the special case of the
___________________________ where if the hypotenuse and the leg of one
___________________________ triangle match those of another, then the triangles are congruent.
Once you know the triangles are congruent, they you know the parts are congruent by
___________________________.
We also have several special theorems about isosceles triangles. The bisector of the vertex angle
of an isosceles triangle is also the ___________________________ of the base. The Isosceles Triangle
Theorem says that the angles opposite the congruent sides are ___________________________. Also,
the converse of the Isosceles Triangle Theorem says if angles are congruent in a triangle, the opposite
sides are ___________________________. Also by corollary, equilateral triangles are also
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Name: ___________________________
Geometry A - Chapter 4 Review
___________________________ with three 60 degree angles. Equiangular triangles are also
___________________________.
Finally, don't forget that if two angles from one triangle are congruent to two angles from
another, then the third angles ___________________________.
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Name: ___________________________
Geometry A - Chapter 4 Review
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