Flashcard 16: Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that have the same size and shape. This means that all corresponding sides and angles are equal.

Front

How can you denote that two segments are congruent?

Back

You can denote that two segments are congruent by using the symbol '≅'. For example, if segment LK is congruent to segment JE, it can be written as \overline{LK} \cong \overline{JE}.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure. For example, if angle A measures 30 degrees and angle B also measures 30 degrees, then angle A ≅ angle B.

Front

What is the significance of the order of vertices in congruence?

Back

The order of vertices is important in congruence because it indicates which angles and sides correspond to each other. For example, if ∆FGH ≅ ∆VWH, then angle F corresponds to angle V, angle G corresponds to angle W, and angle H corresponds to angle H.

Front

How do you find the measure of an angle in congruent figures?

Back

To find the measure of an angle in congruent figures, you can use the measures of corresponding angles from the congruent figure. If two figures are congruent, their corresponding angles are equal.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length. For example, if ∆ABC ≅ ∆DEF, then AB = DE, BC = EF, and AC = DF.

Front

What is the congruence symbol for triangles?

Back

The congruence symbol for triangles is '≅'. For example, if triangle ABC is congruent to triangle DEF, it can be written as ∆ABC ≅ ∆DEF.

Front

What is the measure of angle y if two congruent figures have a corresponding angle measuring 49.5 degrees?

Back

If the figures are congruent and the corresponding angle measures 49.5 degrees, then angle y also measures 49.5 degrees.

Front

How do you identify congruent angles in trapezoids?

Back

In congruent trapezoids, corresponding angles are congruent. For example, if trapezoid ABCD is congruent to trapezoid WXYZ, then angle B corresponds to angle X.

Front

What is the measure of angle D if it corresponds to a congruent angle measuring 55 degrees?

Back

If angle D corresponds to a congruent angle that measures 55 degrees, then angle D also measures 55 degrees.