 # Opposite Sides Are Congruent

## Opposite Sides Are Congruent

### What is a square with a single pair of parallel opposite sides and the other congruent opposite sides?

If two opposite sides of a square are parallel and congruent, then the square is a parallelogram. If the two pairs of opposite angles are congruent on a square, then the square is a parallelogram.

### People also ask what shapes do the two pairs on each side have that are congruent?

A square is a parallelogram if: The two pairs on each side are congruent. If they are congruent, they must also be parallel.

### parallelogramSimilarly, one might ask what is a square whose two pairs of opposite sides are parallel?

A parallelogram is a square whose two pairs of opposite sides are parallel. DEFINITION: A parallelogram is a square whose two pairs of opposite sides are parallel. Theorem: if a square is a parallelogram it has 2 sets of congruent opposite sides.

trapezoid

Diamond

### What is a four-sided shape with different sides called?

A square is a square if and only if it is both a diamond and a rectangle (four equal sides and four equal angles). Oblong: term sometimes used to refer to a rectangle with multiple adjacent sides (i.e. a rectangle that is not a square). Dragon: Two pairs of adjacent sides are the same length.

### What does it mean to be congruent?

The adjective congruent fits when two shapes are equal in shape and size. If you put two congruent triangles on top of each other, they will fit together exactly. Congruente comes from the Latin verb congruere, to meet, to correspond. Figuratively speaking, the word describes something that resembles a character or type.

### What is a rectangle but not a parallelogram?

Each rectangle is a parallelogram, but not all parallelograms are rectangles. Take a square, for example. It is a parallelogram: it is a square with two pairs of parallel faces. But it is also a rectangle, a square with four right angles.

### Is the rectangle a parallelogram?

A rectangle has two pairs of opposite parallel sides and four right angles. It is also a parallelogram since it has two pairs of parallel sides.

### What are the 4 types of squares?

A square is a four-sided polygon with four corners. There are several types of squares. The five most common types are parallelogram, rectangle, square, trapezoid and diamond.

### Is the diamond a parallelogram?

DEFINITION: A diamond is a parallelogram with four congruent sides. Theorem: if a parallelogram is a diamond, each diagonal divides a pair of opposite angles. THEOREM Vice versa: if a parallelogram has diagonals that intersect a pair of opposite angles in the center, it is a diamond.

### Are the parallel lines the same?

Parallel lines. The lines are parallel if they are always at the same distance from each other (so-called equal distances) and never meet.

### Is a trapezoid congruent?

The bases (upper and lower) of an isosceles trapezoid are parallel. The opposite sides of an isosceles trapezoid are of the same length (congruent). The angles on each side of the bases are equal / large (congruent).

### Why are opposite sides of a parallelogram similar?

Each pair of interior angles is complementary in that two right angles add a right angle so that opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, therefore: Opposite sides are equal and parallel. The diagonals intersect in the middle.

### What is not a parallelogram?

An ordinary square with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezoid and an isosceles trapezoid have a pair of parallel opposite sides. An empty square or arrowhead has no parallel sides.

### What are special squares?

Special squares: data sheet

### What is a scale triangle?

A ladder triangle is a triangle with three different sides, as shown above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. THIS: Weisstein, Eric W.