Question 1210506: What kind of quadrilateral has the property that both pairs of opposite sides are parallel? Select all that apply.
What kind of quadrilateral has the property that all four sides are equal in length? Select all that apply.
What kind of quadrilateral has the property that all four angles are right angles? Select all that apply.
What kind of quadrilateral has the property that all four sides are equal in length and all four angles are right angles? Select all that apply.
What kind of quadrilateral has the property that exactly one pair of opposite sides is parallel? Select all that apply.
What kind of quadrilateral has the property that its diagonals bisect each other? Select all that apply.
What kind of quadrilateral has the property that its diagonals are congruent (equal in length)? Select all that apply.
What kind of quadrilateral has the property that its diagonals are perpendicular bisectors of each other? Select all that apply.
What kind of quadrilateral has the property that its diagonals are perpendicular? Select all that apply.
What kind of quadrilateral has the property that all vertices lie on a single circle (cyclic quadrilateral)? Select all that apply.
What kind of quadrilateral has the property that it is a trapezoid, and the two non-parallel sides (legs) are equal in length? Select all that apply.
What kind of quadrilateral has the property that the sum of the measures of its consecutive angles is $180^\circ$? Select all that apply.
What kind of quadrilateral has the property that the diagonals of the quadrilateral always divide it into four congruent triangles of equal area? Select all that apply.
What kind of quadrilateral has the property that two pairs of adjacent sides are equal in length, but all four sides are not equal? Select all that apply.
What kind of quadrilateral has the property that the lengths of its diagonals are equal, and the diagonals are perpendicular? Select all that apply.
What kind of quadrilateral has the property that the distance between the two parallel sides is constant? (This is a more descriptive property for a specific type). Select all that apply.
What kind of quadrilateral has the property that its diagonals bisect the interior angles? Select all that apply.
What kind of quadrilateral has the property that it is a rectangle, but it is not a square? Select all that apply.
What kind of quadrilateral has the property that its diagonals are congruent and bisect each other, but they are not perpendicular? Select all that apply.
What kind of quadrilateral has the property that its opposite angles are congruent? Select all that apply.
What kind of quadrilateral has the property that the segments connecting the midpoints of its consecutive sides form a rhombus? Select all that apply.
Answer by CPhill(2141)   (Show Source):
You can put this solution on YOUR website! This is a great set of questions about the properties of different quadrilaterals!
Here are the answers, with a brief explanation and an image tag for a visual aid.
### 📐 Quadrilateral Properties
| Property | Quadrilateral Type |
| :--- | :--- |
| **Both pairs of opposite sides are parallel.** | * **Parallelogram** * **Rectangle** * **Rhombus** * **Square** |
| **All four sides are equal in length.** | * **Rhombus** * **Square** |
| **All four angles are right angles.** | * **Rectangle** * **Square** |
| **All four sides are equal in length AND all four angles are right angles.** | * **Square** |
| **Exactly one pair of opposite sides is parallel.** | * **Trapezoid** (or **Trapezium** in some regions) |
| **Its diagonals bisect each other.** | * **Parallelogram** * **Rectangle** * **Rhombus** * **Square** |
| **Its diagonals are congruent (equal in length).** | * **Rectangle** * **Square** * **Isosceles Trapezoid** |
| **Its diagonals are perpendicular bisectors of each other.** | * **Rhombus** * **Square** |
| **Its diagonals are perpendicular.** | * **Rhombus** * **Square** * **Kite** |
---
### **Detailed Notes on Relationships**
* **Parallelogram:** A quadrilateral with two pairs of parallel sides. All parallelograms have diagonals that bisect each other.
* **Rectangle:** A parallelogram with four right angles. It inherits all parallelogram properties (including diagonals bisecting each other) and adds the property of having congruent diagonals.
* **Rhombus:** A parallelogram with four equal sides. It inherits all parallelogram properties and adds the property of having perpendicular diagonals that are also perpendicular bisectors.
* **Square:** A quadrilateral that is *both* a Rectangle and a Rhombus. It has all the properties listed for both, including four equal sides, four right angles, parallel opposite sides, and diagonals that are congruent, perpendicular, and bisect each other.
* **Trapezoid:** Has exactly one pair of parallel sides.
* **Kite:** Has two distinct pairs of equal-length adjacent sides. Its diagonals are perpendicular.
Would you like to explore the properties of a specific quadrilateral in more detail, like the kite or an isosceles trapezoid?
|
|
|
