Download Chapter 3 Review - Ithaca Public Schools

Name: ___________________________
Geometry A - Chapter 3 Review
Chapter 3
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:
Acute Triangle
Concave Polygon
Equiangular Triangle
Equilateral Polygon
Isosceles Triangle
Polygon
Right Triangle
Scalene Triangle
Transversal
Alternate Exterior Angles
Convex Polygon
Equiangular Polygon
Exterior Angle of a Polygon
Obtuse Triangle
Regular Polygon
Same-Side Exterior Angles
Slope-Intercept Form
Two-Column Proof
Alternate Interior Angles
Corresponding Angles
Equilateral Triangle
Flow Proof
Point-Slope Form
Remote Interior Angles
Same-Side Interior Angles
Standard Form
In a triangle, an angle is either ___________________________,
___________________________ or ___________________________. A
___________________________ angle measures between 90 and 180 degrees. When two coplanar
lines are cut by a transversal, two angles that are in similar positions on the same side of that transversal
are called ___________________________. The measure of an ___________________________ angle
of a triangle is equal to the sum of the measures of its two ___________________________. A polygon
is ___________________________ if no diagonal contains point outside the polygon. An
___________________________ polygon has all angles congruent. A
___________________________ is both equiangular and equilateral. The linear equation y-3 = 4(x+5)
is written in ___________________________ form. From the ___________________________ form
of a linear equation, you can easily read the value of the slope and the value of the y-intercept. When
two coplanar lines are cut by a transversal, the angles between the two lines and on opposite sides of the
transversal are called ___________________________. The angles outside the two lines and on
opposite sides of the transversal are called ___________________________. Angles formed inside the
two lines on the same side of the transversal are called ___________________________. Those on the
same side and outside the lines are called ___________________________.
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Name: ___________________________
Geometry A - Chapter 3 Review
A ___________________________ is a line that intersects two coplanar lines at two distinct
points. If the two lines are parallel, then corresponding angles are ___________________________,
alternate interior angles are ___________________________, same side interior angles are
___________________________, alternate exterior angles are ___________________________, and
same side exterior angles are ___________________________. (From the previous chapters, don't
forget that vertical angles are ___________________________ and linear pairs are
___________________________.)
Of course, the converses of the above theorems and postulates are also true. If two coplanar
lines are cut by a transversal, then the lines are parallel if corresponding angles are
___________________________, or if alternate interior angles are ___________________________, or
if same side interior angles are ___________________________, or if same side exterior angles are
___________________________, or if alternate exterior angles are ___________________________.
Major theorems state that:
(Theorem 3-9) Two lines parallel to the same line are ___________________________
(Theorem 3-10) In a plane, two lines perpendicular to the same line are
___________________________.
(Theorem 3-11) In a plane, a line perpendicular to one of two parallel lines, is also
___________________________ to the other.
We also learned from this chapter certain true statements about the angles of triangles. First, the
sum of the angles of any triangle is ___________________________ (the triangle angle sum theorem).
Also, in a triangle, an exterior angle's measure is equal to the sum of the two
___________________________ of the triangle.
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Name: ___________________________
Geometry A - Chapter 3 Review
A ___________________________ is a closed plane figure with at least
___________________________ sides. To name a polygon, start at any vertex and list the vertices
consecutively around the polygon. A polygon is is ___________________________ if no diagonal
contains points outside the polygon. (A ___________________________ is a line segment that joins
two vertices of a polygon that is not also a side of the polygon.) Otherwise, the polygon is
___________________________. An ___________________________ has all sides congruent. An
___________________________ has all angles congruent. And a ___________________________ has
both congruent sides and angles.
A major formula for the angles of a polygon are the total of the interior angles of a n-gon is
___________________________. The total of the exterior angles, one at each vertex, is always
___________________________. Polygons of 3, 4, 5, 6, 7, 8, and 10 sides are called ___________________________, ___________________________, ___________________________,
___________________________, ___________________________, ___________________________
and ___________________________, respectively.
Finally, lines with the same slope are ___________________________. If lines are
perpendicular, then their slopes ___________________________.
Since (for the most part) we are studying Euclidean Geometry:
Through any two points there is exactly ___________________________ line.
There exists exactly ___________________________ line parallel to a given line through a
given point not on that line.
If two distinct lines intersect, the cross at exactly ___________________________ point.
Through any ___________________________ non-collinear points there is exactly 1 plane.
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Name: ___________________________
Geometry A - Chapter 3 Review
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Name: ___________________________
Geometry A - Chapter 3 Review
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