What does it mean to be congruent?

What does it mean to be congruent?

Congruent. … Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

What does it mean for a person to be congruent?

congruent. The adjective congruent fits when two shapes are the same in shape and size. … Congruent comes from the Latin verb congruere "to come together, correspond with." Figuratively, the word describes something that is similar in character or type.

What’s another word for congruent?

accordant, coherent, compatible, concordant, conformable (to), congruous, consistent, consonant, correspondent (with or to), harmonious, nonconflicting.

How do you know if a shape is congruent?

Two polygons are congruent if they are the same size and shape – that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

How do you know a shape is congruent?

When shapes are congruent, all corresponding sides and angles are also congruent. The side that has one marking corresponds to the other side that also has one marking. The angle that has one marking corresponds to the other angle that also has one marking. If these are equal, the figures are congruent.

Is a reflection congruent?

To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other. As long as they are otherwise identical, the triangles are still congruent.

Are parallel lines congruent?

If two parallel lines are cut by a transversal, the alternate interior angles are congruent. If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.

What does it mean if two shapes are congruent?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Does congruent mean equal?

Definition: congruent means that objects have the same shape. It does not mean that they are 'equal', exactly. People often confuse this word with 'equal,' but there is a small difference in the way that these two words should be used.

Are rectangles congruent?

If two figures have the same shape and the same size, then they are said to be congruent figures. For example, rectangle ABCD and rectangle PQRS are congruent rectangles as they have the same shape and the same size.

Are similar polygons congruent?

Similar polygons are two polygons with the same shape, but not necessarily the same size. Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional. … Specific types of triangles, quadrilaterals, and polygons will always be similar.

Is a trapezoid congruent?

The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent).

Are vertical angles congruent?

When two lines intersect to make an X, angles on opposite sides of the X are called vertical angles. These angles are equal, and here's the official theorem that tells you so. Vertical angles are congruent: If two angles are vertical angles, then they're congruent (see the above figure).

What is a congruence statement?

Congruence Statements. When stating that two triangles are congruent, use a congruence statement. The order of the letters is very important, as corresponding parts must be written in the same order. Notice that the congruent sides also line up within the congruence statement.

How do you find if a shape is similar?

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Are similar figures congruent give examples?

Same shape, same size. They are congruent! One triangle points up, while the other points down. However, if you were to measure them, you'd discover that the corresponding sides of both triangles are exactly the same.