Classic geometry theorems, postulates, and two-column proof structure for a high school geometry course.
39 cards · basic cards · AI-written, checked twice. Edit anything.
- Define a postulate in geometry.
- A statement assumed to be true without proof.
- Define a theorem in geometry.
- A statement that is proven true using postulates and other theorems.
- State the Vertical Angles Theorem.
- Vertical angles are congruent.
- What is the sum of complementary angles?
- 90 degrees.
- What is the sum of supplementary angles?
- 180 degrees.
- What is the SSS congruence criterion for triangles?
- If all three sides of one triangle are congruent to the three sides of another triangle, the triangles are congruent.
- What is the SAS congruence criterion for triangles?
- If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.
- What is the ASA congruence criterion for triangles?
- If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
- What is the AAS congruence criterion for triangles?
- 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, the triangles are congruent.
- What is the HL congruence criterion for right triangles?
- If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the triangles are congruent.
- State the Isosceles Triangle Theorem.
- If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
- What is the sum of the interior angles of a triangle?
- 180 degrees.
- State the Exterior Angle Theorem.
- An exterior angle of a triangle equals the sum of the two non-adjacent interior angles.
- Define the Angle Bisector Theorem.
- An angle bisector of a triangle divides the opposite side into segments proportional to the other two sides.
- State the AA similarity criterion for triangles.
- If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.