Congruent Figures

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates two figures are congruent, meaning they have the same shape and size. For example, if triangle ABC is congruent to triangle DEF, it can be written as ΔABC ≅ ΔDEF.

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they are exactly the same shape and size.

Front

Write a congruence statement for the triangles ΔLMK and ΔZYX.

Back

ΔLMK ≅ ΔZYX.

Front

Write a congruence statement for the triangles ΔIHG and ΔQRP.

Back

ΔIHG ≅ ΔQRP.

Front

If two polygons are congruent, what can be said about their corresponding sides and angles?

Back

The corresponding sides of congruent polygons are equal in length, and the corresponding angles are equal in measure.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which vertices correspond to each other in the congruent figures.

Front

If DFHG ≅ QRST, what can be inferred about the lengths of sides FG and RS?

Back

If DFHG ≅ QRST, then FG = RS.

Front

If two triangles are congruent, what can be said about their areas?

Back

If two triangles are congruent, they have the same area.

Front

What is the relationship between the angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.

Front

If triangle ABC is congruent to triangle DEF, what can be said about the lengths of sides AB and DE?

Back

If triangle ABC is congruent to triangle DEF, then AB = DE.