Dancayra Rosario is a 15-year-old student completing a geometry project for their teacher Ms. Bush on the properties of rectangles. Rectangles have four sides with two pairs of equal length sides. They also have four right angles and diagonals that bisect each other. The document provides examples of how rectangles are similar to parallelograms due to having four sides and angles that add up to 360 degrees. It also explains how rectangles differ from other quadrilaterals through having adjacent equal angles. The document solves a perimeter problem for a rectangular pool to find its width.
Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
Use properties of similar triangles to find segment lengths
Apply proportionality and triangle angle bisector theorems
Use ratios to make indirect measurements
Use scale drawings to solve problems
Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
Use properties of similar triangles to find segment lengths
Apply proportionality and triangle angle bisector theorems
Use ratios to make indirect measurements
Use scale drawings to solve problems
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
2. Hi my name is Dancayra Rosario. I am 15 years
old and I go to New Heights Academy Charter
School. This project is for geometry for my
teacher Ms.Bush. The goal of doing this is to
describe and explain the details of a rectangle.
3. Basic Properties of a
Parallelogram
O Basic Properties:
A rectangle has four sides and two pairs
have the same length. Also, in order to find
the diagonals of a rectangle, a person must
use the Pythagorean theorem.
4. Specific Properties:
A rectangle is a plane figure with four right angles
and congruent diagonals. Also, its opposite sides are
parallel and congruent. The consecutive angles are
supplementary. The length of opposite sides are equal.
Also the diagonals bisect each other.
5. Similarity
Comparison :
All of the parallelograms are similar to one
another because, each of their angles must add up to a
total of 360°. So then each angle equals 90°. Rectangles
opposite sides are all parallel. Plus, they each have four
sides. They each are quadrilaterals.
6. Difference
Thisshape is unlike other parallelograms
because the rectangle has adjacent
angles that are equal. A rhombus is a
quadrilateral with four equal sides and a
rectangle is a quadrilateral with four right
angles. Rectangles are mostly different
from others because all angles add up to
90 degrees.
7. PROBLEM
The perimeter of a rectangular pool is 56 meters. If the length of the
pool is 16 meters, then find its width.
Here the perimeter and the length of the rectangular pool are given.
We have to find the width of the pool.
8. Solution
The perimeter P of a rectangle is given by the formula, P = 2l +
2w , where l is the length and w is the width of the rectangle.
Given that, the perimeter is 56 meters and the length is 16 meters.
So, substitute these values into the formula.
P=2l+2w / 56=2(16)+2w
Simplify.
56=32+2w
Subtract 32 from both sides.
24 = 2w
Divide each side by 2.
12 = w
Therefore, the width of the rectangular pool is 12 meters
9. Sony camera
Laptops
Dictionary
Pools
Erasers
These 5 all have four right
angles, parallel sides, 90° angles . Plus
all 5 examples have four sides.
10. CONCLUSION
I believe that this project was a learning
experience for me because I didn’t understand
this that much but now I do. Like for example I
learned that the adjacent angles are equal and all
of the angles added up are 360 degrees. Also I
learned that a rectangle is a plane figure. If it
wasn’t for this project I wouldn’t have known how
much rectangles are important and how much it
is used in life, it might not be as important as
color but many things are used in the shape of a
rectangle. I actually liked the photo story because
it lets me express how the object looks and how
people might see it.