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Plane: A flat surface with no thickness
When we draw something on a flat piece of paper we are drawing on a plane ...
... except that the paper itself is not a plane, because it has thickness! And it should extend forever, too.
So the very top of a perfect piece of paper
that goes on forever is the right idea!
Also, the top of a table, the floor and a whiteboard are all like a plane.
Line: A series of points on a plane that go on forever
Segment: A part of a line with two endpoints
Point: A location in space on a plane
Ray: A part of a line but with only one endpoint and goes on forever in one direction
Vertex: The point at which two lines intersect
Angle: Two rays with the same endpoint
Congruent: With equal sides and angles
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How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
What is the vertex angle on an isosceles triangle?
the top angle the angle formed by the two congruent sides
What is a perpendicular segment from the vertex to the line containing the side opposite of the vertex?
a right angle
An angle not congruent to the base angles of an isosceles triangle?
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
An angle with its vertex and endpoints on the circle?
If the vertex is at the centre of the circle then this forms a sector of the circle.If the two endpoints and the vertex form an angle in a segment, then the vertex can be at any point on the circle within the same segment and all angles so formed are equal.
If segment ab is congruent to segment bc then angle a is congruent to angle c by what?
true
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
A of a segment is the point that divides the segment into two congruent segments?
A midpoint is a point that divides a segment into two congruent segments. A angle bisector is a ray that divides an angle into two congruent angles.
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
What is the vertex angle on an isosceles triangle?
the top angle the angle formed by the two congruent sides
Is the vertex angle of an issoceles triangle is congruent to the base angles?
No
What else would need to be congruent to show that abc xyz by sas?
Line segment BC is congruent to Line Segment YZ
What is a perpendicular segment from the vertex to the line containing the side opposite of the vertex?
a right angle
An angle not congruent to the base angles of an isosceles triangle?
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
An angle with its vertex and endpoints on the circle?
If the vertex is at the centre of the circle then this forms a sector of the circle.If the two endpoints and the vertex form an angle in a segment, then the vertex can be at any point on the circle within the same segment and all angles so formed are equal.
What is a ray that is drawn through the vertex of an angle and divides into two congruent angles?
An angle bisector.
Which of these uses a single arc in its construction?
constructing a congruent angle
