vertical lines
Opposite sides are congruent Opposite sides are parallel Opposite angles are equal Consecutive angles are supplementary Diagonals bisect each other Diagonals form 2 equal triangles
Consecutive angles are supplementary Diagonals bisect each other Opposite angles are congruent Opposite sides are parallel
2-dimensional figures. Four straight sides. Four angles that add to 360 degrees. Parallel opposite sides. Equal opposite sides. Equal opposite angles. Bisecting diagonals.
A parallelogram is a quadrilateral (4-sided figure) with both pairs of opposite sides parallel. That's usually the primary definition. There are properties common to all parallelograms: opposite sides are congruent, opposite angles are congruent, and diagonals bisect each other. Other special parallelograms have additional properties. A rectangle is a parallelogram with four right angles and its diagonals are congruent. A rhombus is a parallelogram with four congruent sides. Its diagonals are perpendicular and each diagonal bisects two angles of the rhombus. A square is a parallelogram as well. It has four right angles and four congruent sides, so it is also a rectangle and a rhombus. How's that for confusing???
The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
A parallelogram.
Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.
If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Opposite angles are congruent. Opposite sides are congruent. Consecutive angles are supplementary.
To determine which statement is not true for all parallelograms, let's review the properties of parallelograms in general. A parallelogram is a quadrilateral with the following properties: Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal. Consecutive angles are supplementary (i.e., their sum is 180 degrees). Diagonals bisect each other (each diagonal cuts the other into two equal parts). Given these properties, we can formulate some statements about parallelograms and identify which one is not universally true. Here are a few statements, with one being false: Opposite sides of a parallelogram are parallel. Opposite angles of a parallelogram are equal. The diagonals of a parallelogram are equal in length. The diagonals of a parallelogram bisect each other. Analysis: **Statement 1** is true: By definition, opposite sides of a parallelogram are parallel. **Statement 2** is true: Opposite angles in a parallelogram are equal. **Statement 4** is true: The diagonals of a parallelogram bisect each other. Statement 3: The diagonals of a parallelogram are equal in length This statement is **not true for all parallelograms**. It is only true for special types of parallelograms such as rectangles and squares, where the diagonals are equal. In a general parallelogram, the diagonals are not necessarily of equal length. Thus, the statement **"The diagonals of a parallelogram are equal in length"** is not true for all parallelograms.
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp.