Unit 4 Assignment

Front

What does the HL theorem state?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

Define the Reflexive Property.

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, AB ≅ AB.

Front

What does the SAS theorem state?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the SSS theorem?

Back

The SSS (Side-Side-Side) theorem states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What does the ASA theorem state?

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS theorem?

Back

The AAS (Angle-Angle-Side) theorem states that 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, then the two triangles are congruent.

Front

What does it mean if triangles are not congruent?

Back

If triangles are not congruent, it means that there is no way to make one triangle match the other in size and shape, regardless of how they are positioned.

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles indicates that the triangles have the same size and shape, which allows for the application of various geometric theorems and properties.

Front

Explain the Transitive Property in geometry.

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

Front

What is the difference between congruence and similarity?

Back

Congruence means that two figures are the same size and shape, while similarity means that two figures have the same shape but may differ in size.