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Geometry Chapter 3 & 4
Vocabulary Terms from Chapter 3 and 4
52
Mathematics
10th Grade
12/14/2010

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Term
Transversal
Definition
A line that intersects two coplanar lines at two distinct points.
Term
Alternate interior angles
Definition
Are non-adjacent interior angles that lie on opposite sides of the transversal.
Term
Same-side interior angles
Definition
Are interior angles that lie on the same side of the transversal.
Term
Same-side interior angles theorem
Definition
If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
Term
Alternate exterior angles theorem
Definition
If a transversal intersects two parallel lines, then alternate exterior angles are congruent.
Term
Same-side exterior angles theorem
Definition
If a transversal intersects two parallel lines, then same-side exterior angles are supplementary.
Term
Corresponding angles
Definition
Are angles that lie on the same side of the transversal in corresponding positions.
Term
Converse of corresponding angles
Definition
If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.
Term
Converse of Alternate interior angles
Definition
If two lines and a transversal form alternate interior angles are congruent, then the two lines are parallel.
Term
Converse of same-side interior angles
Definition
If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.
Term
Converse of the alternate exterior angles
Definition
If two lines and a transversal form alternate exterior angles are congruent then, the two lines are parallel.
Term
Converse of same-side exterior angles
Definition
If two lines and a transversal form same-side angles that are supplementary then, the two lines are parallel.
Term
Acute triangle
Definition
Has three acute angles.
Term
Right triangle
Definition
Has one right angle.
Term
Obtuse triangle
Definition
Has one obtuse angle.
Term
Equiangular triangle
Definition
Has three congruent angles.
Term
Equilateral triangle
Definition
Has three congruent sides.
Term
Isosceles triangle
Definition
Has at lease two sides congruent.
Term
Scalene triangle
Definition
Has no congruent sides.
Term
Exterior of a polygon
Definition
Is an angle formed by a side and an extension of an adjacent side.
Term
Remote interior angles
Definition
Are two non-adjacent interior angles corresponding to each exterior of a triangle.
Term
Triangle exterior angle
Definition
The measure of each exterior angle of a triangle equals the sum of the measures of the two remote interior angles.
Term
Polygon
Definition
Is a closed plane figure with at least three sides that are segments.
Term
Convex polygon
Definition
Does not have diagonal points outside the polygon.
Term
Concave polygon
Definition
Has at least one diagonal with points outside the polygon.
Term
Triangle
Definition
3 sides.
Term
Quadrilateral
Definition
4 sides.
Term
Pentagon
Definition
5 sides.
Term
Hexagon
Definition
6 sides.
Term
Heptagon
Definition
7 sides.
Term
Octagon
Definition
8 sides.
Term
Nonagon
Definition
9 sides.
Term
decagon
Definition
10 sides.
Term
Undecagon
Definition
11 sides.
Term
Dodecagon
Definition
12 sides.
Term
N
Definition
N-gon number of side.
Term
Polygon angle-sum
Definition
The sum of the measures of the angles of an n-gon is 180(n-2).
Term
Slope intercept form of a linear equation
Definition
Is y=mx+b where M is the slope and B is the y-intercept.
Term
Standard form of a linear equation
Definition
Is Ax+By=c.
Term
Congruent polygons
Definition
Are polygons that have corresponding sides congruent and corresponding angles congruent.
Term
Angle-angle-side
Definition
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Term
Side-side-side
Definition
If three sides of one triangle are congruent to the tree sides of another triangle, then the two triangles are congruent.
Term
Side-angle-side
Definition
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another and the included angle of another triangle, then the two triangles are congruent.
Term
Angle-side-angle
Definition
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Term
CPCTC
Definition
Corresponding Parts of Congruent Triangles are Congruent.
Term
Legs of an Isosceles triangle
Definition
Are the congruent legs.
Term
Base of a isosceles triangle
Definition
Is the third or non-congruent side.
Term
Vertex of an isosceles triangle
Definition
Are formed by two congruent legs.
Term
Base angles of an isosceles triangle
Definition
Are formed by the base and legs.
Term
Isosceles triangle theorem
Definition
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Term
Corollary
Definition
Is a statement that follows after a theorem.
Term
Converse of isosceles triangle
Definition
If two angles of a triangle are congruent, then the sides opposite of the angles are congruent.
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