Study your flashcards anywhere!

Download the official Cram app for free >

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

image

Play button

image

Play button

image

Progress

1/21

Click to flip

21 Cards in this Set

  • Front
  • Back
Theorem 4-1
Isosceles Triangle Theorem

If two sides of a triangle are congruent, then the angles opposite those sides are also congruent.
Geometry
Rules!
Theorem 4-1 Corollary
Isosceles Triangle Theorem

If a triangle is equilateral, then it is equiangular.
Geometry Rules!
Theorem 4-2

The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.
Geometry Rules!
Theorem 4-3
Converse of the Isosceles Triangle Theorem.

If two angles of a triangle are congruent, then the sides opposite the angles are congruent.
Geometry Rules!
Theorem 4-3 Corollary

If a triangle is equiangular, then it is equilateral.
Geometry Rules!
Theorem 4-4

If a triangle is a right triangle, then the acute angles are complementary.
Geometry Rules!
Theorem 4-5

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
Geometry Rules!
Theorem 4-6

All right angles are congruent.
Geometry Rules!
Theorem 4-7

If two angles are congruent and supplementary, then each is a right angle.
Geometry Rules!
Theorem 4-8
Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length.
Geometry Rules!
Theorem 4-9
Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Geometry Rules!
Theorem 4-10

If two sides of a triangle are not congruent, then the larger angle lies opposite the larger side.
Geometry Rules!
Theorem 4-11

If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle.
Geometry Rules!
Theorem 4-12
Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Geometry Rules!
Theorem 4-13
Converse of Perpendicular Bisector Theorem

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
Geometry Rules!
Theorem 4-14
Angle Bisector Theorem

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
Geometry Rules!
Theorem 4-15
Converse of Angle Bisector Theorem

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector.
Geometry Rules!
Theorem 4-16

The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the sides.
Geometry Rules!
Theorem 4-18

The lines that contain the altitudes of a triangle are concurrent.
Geometry Rules!
Theorem 4-19

The medians of a triangle are concurrent.
Geometry Rules!
Theorem 2-1
Triangle Angle-Sum Theorem

The sum of the measures of the angles of a triangle is 180.
Geometry Rules!