Homework: SSS, SAS and HL

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the SAS Congruence Theorem?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the HL Congruence Theorem?

Back

HL stands for Hypotenuse-Leg, which applies to right triangles. It states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

What is a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If triangle ABC is congruent to triangle FED, what does this imply about their corresponding parts?

Back

It implies that the corresponding sides and angles of triangles ABC and FED are equal.

Front

What is the significance of congruence in geometry?

Back

Congruence in geometry indicates that two figures have the same shape and size, allowing for the comparison of their properties.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS). This is known as the SSA condition, which does not guarantee congruence.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What does the term 'congruent' mean in geometry?

Back

In geometry, 'congruent' means that two figures have the same shape and size.