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You should learn in it in grade school but you don't really need it unless you have certain jobs like an architect a teacher Shapes are all around us they are important now why do we need triangles to build bridges well because squares and rectangles would bend So don't build bridges on uneven squares

Q: When is it useful to know about congruent and similar shapes?

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Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.

congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing

If their measures are equal, then the two angles are congruent.

CPCTC is an acronym for the phrase 'corresponding parts of congruent triangles are congruent' It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent.

Not necessarily. Even if all three angles of one triangle are the same as the corresponding angles of the other, the triangles may be similar but not congruent. And in this case, you don't even know that all three angles are the same.

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When they are identical in sizes and angles

Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.

Air resistance is present when an object moves through the air and experiences a force in the opposite direction of its motion. You can observe the effects of air resistance, such as slowing down a falling object or affecting the trajectory of a projectile. Mathematically, air resistance can be accounted for in calculations involving the motion of objects.

Geometric shapes that are identical in size and shape are congruent.

congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing

No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.

They are congruent if they are identical in shape and size.

If their measures are equal, then the two angles are congruent.

CPCTC is an acronym for the phrase 'corresponding parts of congruent triangles are congruent' It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent.

Not necessarily. Even if all three angles of one triangle are the same as the corresponding angles of the other, the triangles may be similar but not congruent. And in this case, you don't even know that all three angles are the same.

Tick marks indicate when lines or angles are congruent.

When they have the same dimensions and same interior angles they are said to be congruent