HL Theorem

Front

What does the HL Theorem state about triangles?

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is required to apply the HL Theorem?

Back

To apply the HL Theorem, you need to have two right triangles where the hypotenuse and one leg of each triangle are congruent.

Front

Can the HL Theorem be used for non-right triangles?

Back

No, the HL Theorem can only be used for right triangles.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What additional information is needed to prove triangles congruent by the HL Theorem?

Back

You need to know that the hypotenuse and one leg of the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of triangle congruence, such as ΔABC ≅ ΔDEF.

Tags

CCSS.8.G.A.2

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that they do not have the same size and shape, and their corresponding sides and angles are not equal.

Tags

CCSS.8.G.A.2

Front

What is the significance of the term 'not possible' in triangle congruence?

Back

'Not possible' indicates that there is insufficient information or that the conditions for congruence are not met.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid transformations such as translation, rotation, or reflection.

Tags

CCSS.8.G.A.2

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.

Tags

CCSS.8.G.A.2

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2