Congruent shapes

If two triangles are congruent, what can we say about their corresponding sides and angles?

• Their corresponding sides and angles are equal.

• Their corresponding sides are equal, but angles can differ.

• Their corresponding angles are equal, but sides can differ.

• Their corresponding sides and angles are always different.

What does the term 'corresponding parts' refer to in congruent figures?

• The sides and angles that match between two congruent shapes.

• The areas that are equal in size between two shapes.

• The colors that are identical in two figures.

• The shapes that are similar but not congruent.

If two shapes are similar, are they also congruent?

• Yes, they are always congruent.

• Not necessarily; similar shapes have the same shape but may differ in size.

• Yes, they are congruent if they have the same area.

• Only if they are the same color.

If ∆TUV ≅ ∆EUV, what can we say about side TU and side EU?

• Side TU is equal in length to side EU.

• Side TU is longer than side EU.

• Side TU is shorter than side EU.

• Side TU and side EU are not comparable.

How can you determine if two shapes are congruent?

• By checking if they can be superimposed on each other without any gaps or overlaps.

• By measuring their areas and ensuring they are equal.

• By comparing their colors and textures.

• By counting the number of sides each shape has.

What is the symbol for congruence?

• =

• ≅

• ~

• ≠

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

• It indicates which vertices correspond to each other.

• It determines the area of the shapes involved.

• It specifies the angles of the shapes involved.

• It indicates the color of the shapes.

If two triangles have two equal angles, what can be concluded about them?

• They are congruent by the Angle-Angle (AA) criterion.

• They are similar but not necessarily congruent.

• They have the same area but different shapes.

• They are congruent by the Side-Side-Side (SSS) criterion.

What is the importance of congruence in geometry?

• It helps in understanding the properties of shapes and solving problems related to them.

• It is used to calculate the area of geometric figures.

• It determines the color of geometric shapes.

• It is only relevant in three-dimensional geometry.

What does it mean for two figures to be congruent?

• They have the same size and shape.

• They have different sizes but the same shape.

• They have the same area but different shapes.

• They are located at the same position in space.