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28 Cards in this Set

  • Front
  • Back

Vertical Angles

Two non-adjacent angles formed by intersecting lines that are congruent to one another.

Complementary Angles

Angles whose sum is 90 degrees.





Supplementary Angles

Angles whose sum is 180 degrees.

Collinear points

Points that lie on the same line.

Perpendicular lines

Two lines that intersect to form right angles.

Parallel lines

Two lines that will never intersect.

Vertex angle

The angle in an isosceles triangle that is opposite from the base.

Legs

The sides of an isosceles triangle that are congruent.

Base angles

The congruent angles in an isosceles triangle. They are congruent.

Adjacent angles

Two angles that share a common vertex and a common side and have no common interior points.

The sum of the angles around a point.

360 degrees

The sum of the angles in a triangle.

180 degrees

Equilateral triangle

A triangle with three congruent sides (and three congruent angles).

The measure of the exterior angle of a triangle

The exterior angle is equal in measure to the sum of the remote interior angles.

If two parallel lines are intersected by a transversal, the pairs of angles that are formed that are congruent to each other are called....




(3 answers)

1. alternate interior angles


2. alternate exterior angles


3. corresponding angles

If two parallel lines are intersected by a transversal, the pair of angles that are formed that are supplementary are called....

same side interior angles



Looking back at the picture given with problems 8-11 on the first quiz,



Name the relationship between


angles 3 and 6 and explain how you would solve a problem involving those two angles:






Alternate interior angles.




They are congruent, so you would make them equal to each other and solve.

Looking back at the picture given with problems 8-11 on the first quiz,




Name the relationship between


angles 2 and 7 and explain how you would solve a problem involving those two angles:



Alternate exterior angles.




They are congruent, so you would make them equal to each other and solve.

Looking back at the picture given with problems 8-11 on the first quiz,




Name the relationship between


angles 4 and 6 and explain how you would solve a problem involving those two angles:



Same side interior angles.




They are supplementary, so you would make their sum equal 180 and solve.

Looking back at the picture given with problems 8-11 on the first quiz,




Name the relationship between


angles 1 and 5 and explain how you would solve a problem involving those two angles:



Corresponding angles.




They are congruent, so you would make them equal to each other and solve.

Looking back at the picture given with problems 8-11 on the first quiz,




Name the relationship between


angles 2 and 3 and explain how you would solve a problem involving those two angles:



Vertical angles.




They are congruent, so you would make them equal to each other and solve.

Looking back at the picture given with problems 8-11 on the first quiz,




Name the relationship between


angles 6 and 8 and explain how you would solve a problem involving those two angles:



They are a linear pair.




They are supplementary.




Make their sum equal 180 and solve.

Practice using a compass and a straightedge to construct an equilateral triangle.
see www.regentsprep.org for directions and videos if necessary
Practice using a compass and a straightedge to construct an angle bisector.
see www.regentsprep.org for directions and videos if necessary
Practice using a compass and a straightedge to construct the copy of an angle.
see www.regentsprep.org for directions and videos if necessary
Practice using a compass and a straightedge to construct a line perpendicular to a line segment through a given point.
see www.regentsprep.org for directions and videos if necessary
Practice using a compass and a straightedge to construct a perpendicular bisector.
see www.regentsprep.org for directions and videos if necessary
Practice using a compass and a straightedge to construct an altitude to a side of a triangle.
see www.regentsprep.org for directions and videos if necessary