Shape Hierarchy
True or false: A rectangle is a trapezoid (explain why)
False: a trapezoid has exactly 1 pair of parallel sides. A rectangle has 2 pairs of parallel sides.
When listing ordered pairs, which number comes first?
The one on the x-axis (horizontal)
Define a quadrilateral.
Any polygon with 4 sides.
solve and show your work 63x24
1,512
A triangle with one obtuse angle.
Describe how the two graphs would be different: one increases by the same amount each time, the other has exponential growth.
The one that increases by the same amount would be a straight line. The other would curve and eventually look vertical.
Which would have a greater perimeter? An equilateral triangle with side lengths of 4 or a regular pentagon with side lengths of 4? How do you know?
Pentagon. The triangle's perimeter would be 12 units, the pentagon's would be 20 units.
71x52
3,692
Can an Isosceles triangle be acute? How do you know?
Yes, an isosceles triangle has two sides the same length, it can be acute, obtuse, or right.
Continue the number pattern to the next 5 spaces: 30, 27, 24...
21, 18, 15, 12, 9
How is a kite different from a rhombus?
A rhombus has 4 congruent sides, a kite has 2 pairs of congruent sides.
A packing box is 3 feet wide and 5 feet long and 8 feet high. What is the volume?
120 units cubed
Why do people say a square is a special kind of rectangle?
It is a rectangle with all sides that are exactly the same length. It is the most specific kind of rectangle.
If a group is selling lemonade for .50 cents per glass, how much will the earn by selling 9 glasses? Show your answer on a graph.
Visual answer.
Draw a rectangle with an area of 32 square units. Label your drawing to show how the area is 32 square units.
see image
A container is 7 inches by 7 inches. The volume is 343 cubic inches. What is the height of the container?
7 inches high
What makes something a "regular" shape?
All of it's sides and angles are congruent.
3 5/6 of an inch
What makes a shape a parallelogram? List at least 3 properties.
2 pairs of parallel sides
opposite sides parallel
4 sides
List the formula(s) for finding the volume of a shape.
lxwxh=v
bxh=v