Front

What are congruent figures?

Back

Congruent figures are shapes that are the same size and shape. They can be transformed into each other through rotations, translations, or reflections.

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent.

Tags

CCSS.8.G.A.2

Front

How do you write a congruence statement for triangles?

Back

A congruence statement for triangles lists the corresponding vertices in the same order. For example, if triangle ABC is congruent to triangle DEF, it is written as \( \Delta ABC \cong \Delta DEF \).

Tags

CCSS.HSG.CO.B.7

Front

What is the importance of order in congruence statements?

Back

The order of the vertices in a congruence statement matters because it indicates which angles and sides correspond to each other.

Tags

CCSS.HSG.CO.B.7

Front

If two triangles have the same shape but different sizes, are they congruent?

Back

No, if two triangles have the same shape but different sizes, they are not congruent.

Tags

CCSS.8.G.A.2

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are angles that are in the same relative position in each triangle.

Tags

CCSS.8.G.A.2

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are sides that are in the same relative position in each triangle and are equal in length.

Tags

CCSS.8.G.A.2

Front

How can you determine if two figures are congruent?

Back

Two figures are congruent if they have the same size and shape, which can be verified through measurements or congruence transformations.

Tags

CCSS.8.G.A.2

Front

What is a congruence transformation?

Back

A congruence transformation is a movement of a figure that preserves its size and shape, including translations, rotations, and reflections.

Tags

CCSS.HSG.CO.B.6

Front

What is the relationship between congruent angles and congruent triangles?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar, and if the sides are also proportional, they are congruent.

Tags

CCSS.HSG.CO.B.7