Shared Flashcard Set

Details

Chapter 3 - Geometry
N/A
28
Mathematics
10th Grade
09/13/2012

Additional Mathematics Flashcards

 


 

Cards

Term
Parallel Lines
Definition
are coplanar lines that don't intersect.
Term
Skew Lines
Definition
are noncoplanar lines. Therefore, they are neither parallel nor intersect.
Term
Parallel Planes
Definition
do not intersect.
Term
A line and a plane are parallel
Definition
if they do not intersect.
Term
Theorem 3-1
Definition
If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
Term
Transversal
Definition
A line that intersects two or more coplanar lines in different points.
Term
Alternate Interior Angles
Definition
Two nonadjacent interior angles on opposite side of the transversal.
Term
Same-side Interior Angles
Definition
Two interior angles on the same side of the transversal.
Term
Corresponding Angles
Definition
Two angles in corresponding positions relative to the two lines.
Term
Postulate 10
Definition
If two lines are cut by a transversal, then corresponding angles are congruent.
Term
Theorem 3-2
Definition
If two parallel lines are cut by a transversal, then alternated interior angles are congruent.
Term
Theorem 3-3
Definition
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Term
Theorem 3-4
Definition
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.
Term
Triangle
Definition
a closed plane figure having three sides and three angles.
Term
Vertex
Definition
the highest point of something
Term
Scalene Triangle
Definition
No sides congruent.
Term
Isosceles Triangle
Definition
At least two sides congruent.
Term
Equilateral Triangle
Definition
All sides congruent.
Term
Acute Triangle
Definition
Three Acute angles
Term
Obtuse Triangles
Definition
One obtuse angle
Term
Right Triangle
Definition
One right angle.
Term
Equiangular Triangle
Definition
All angles are congruent.
Term
Theorem 3-11
Definition
The sum of the measures of the angles of a triangle is 180.
Term
Corollary 1
Definition
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
Term
Corollary 2
Definition
Each angle of an equiangular triangle has measure 60.
Term
Corollary 3
Definition
In a triangle, there can be at most one right angle or obtuse angle.
Term
Corollary 4
Definition
The acute angle of a right triangle are complementary.
Term
Theorem 3-12
Definition
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.
Supporting users have an ad free experience!