In this essay I will be explaining the differences between a rhombus, rectangle, and a square. Next, I will be explaining each quadrilateral and also using the definitions that go along with each quadrilateral. Then, I will be describing how the three quadrilaterals have the same and different characteristics.
In a rhombus, opposite sides congruent, opposite angles congruent, consecutive angles supplementary and the diagonals bisect each other. In a rectangle, all angles are congruent and the diagonals are congruent. In a square, all angles are right angles the sum of the interior angles of a square will always be 360 degrees. A square is a rectangle, while a rectangle is not a square. A square is under the category of quadrilaterals along with the rectangle, trapezoid, kite, and rhombus.
First of all, a rhombus is a parallelogram with four congruent sides. . In the rhombus corollary it says that a quadrilateral is a rhombus if and only if it has four congruent sides. Next, a rectangle is a parallelogram with four congruent angles. In the rectangle corollary it says that a rectangle is a rhombus if and only if it has four congruent sides. Lastly, a square is a parallelogram with four congruent sides and angles. In the square corollary it says that a quadrilateral is a square if and only if it has four congruent sides and angles.
These three quadrilaterals have some of the same characteristics. For example, they all are parallelograms and a parallelogram has four sides with opposite sides being parallel. Another example, the diagonals bisect each other. These three quadrilaterals have some different characteristics. For instance, in a square all angles are congruent and all sides, in a rhombus all sides are congruent.
In conclusion, I described to you the differences between a rhombus, rectangle, and a square. I also explained each quadrilateral by using the definitions. Then, I described how the three...
You May Also Find These Documents Helpful
-
Spiralaterals with 2 numbers will make a rectangle or a parallelogram. Any set of numbers that is a repetition of one number (I.e. 1,1,1,1,1,1,1,1. 7,7,7,7,7,7,7. e.t.c) will also make rectangles. Also numbers that repeat two of the numbers but not the third one (I.e. 1,1,1,2,2,2,4. 3,3,3,3,3,1,5,5,5,5.)will make rectangles that will just go off and not return to their starting point.…
- 307 Words
- 2 Pages
Satisfactory Essays -
1/20/2015 Honors Geometry Exam Review Chapter 7 flashcards | Quizlet Honors Geometry Exam Review - Chapter Ready to study? Start with Flashcards 7 22 terms by shweta101 Pythagorean Theorem In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.…
- 895 Words
- 7 Pages
Satisfactory Essays -
Draw, construct, and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.…
- 962 Words
- 4 Pages
Good Essays -
√10 Distance of BC = √[(-3 - 3)^2 + (0 - 2)^2] = 2√10 Although one side is simply just twice as long as the other, these adjacent sides are not congruent, and therefore this parallelogram is not a rhombus. This is also not a square then, because all squares are rhombuses.…
- 196 Words
- 1 Page
Satisfactory Essays -
What is the sum of four angles if two are complementary and two are supplementary?…
- 1628 Words
- 7 Pages
Good Essays -
The Scarecrow says, “The sum of the square root of two sides of an isosceles triangle is equal to the square root of the third side.” The correct equation for the Pythagorean theorem is, “The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.” The isosceles triangle is a triangle with at least two equal sides; it also has two equal angles.…
- 392 Words
- 2 Pages
Good Essays -
The slopes of exactly one pair of opposite sides are equal. So, they are parallel. Therefore, the quadrilateral ABCD is a trapezoid. ANSWER: ABCD is a trapezoid.…
- 9689 Words
- 86 Pages
Satisfactory Essays -
A rectangle is a shape with four sides and four right angles. A square has four sides of the same length and four right angles.…
- 375 Words
- 2 Pages
Satisfactory Essays -
33. Although textbooks frequently cast a trapezoidal image on the retina, students typically perceive the books as rectangular objects. This illustrates the importance of what concept? Shape consistancy…
- 1947 Words
- 8 Pages
Good Essays -
You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge (Hint: Remember when you learned how to copy an angle?). You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit.…
- 444 Words
- 2 Pages
Satisfactory Essays -
| 5 6.13 Specify locations using coordinate geometry. 6.14 Describe spatial relationships using coordinate geometry. 6.15 Use symmetry to analyze mathematical situations.…
- 1933 Words
- 8 Pages
Satisfactory Essays -
Discuss the major differences (and/or similarities) in architecture (with respect to a variety of subjects like materials, technology, purpose, image, culture, etc.) between the 20th century and any one of the other cultures or periods we’ve covered. Choose from among classical Greece, the Early Christian period, Gothic or Renaissance.…
- 404 Words
- 2 Pages
Good Essays -
Tend to be square-shaped, closer to a right angle. The ramus is wider and larger.…
- 989 Words
- 4 Pages
Powerful Essays -
Regular - all angles are equal and all sides are the same length. Regular polygons are both equiangular and equilateral.…
- 420 Words
- 2 Pages
Good Essays -
If the quadrilateral had one pair of parallel sides, it would be a trapezoid. If both pairs of sides are parellel, it would be a parallelogram.…
- 376 Words
- 1 Page
Good Essays