Polygons
The name for a polygon that has all sides and all angles congruent.
"What is a regular polygon?"
Mr. Delgado sees this sign while he is driving. This shape has _____ sides and _____ angles.
What is "3 sides and 3 angles?"
A trapezoid is a quadrilateral. True or false?
What is "true?"
Prism or pyramid?
Jose stores his baseball cards in a box like the one shown. Write an equation that would help you find the volume of the prism.
What is "V = 8 x 10 x 3?"
OR
What is "V = 80 x 3?"
This shape has _____ sides and _____ angles. Is this shape regular?
What is "8 sides and 8 angles and yes it is regular?"
Fran drew a triangle with no congruent sides and 1 right angle. Which term accurately describes the triangle? Mark all that apply.
a. isosceles
b. scalene
c. acute
d. right
What is "scalene right?"
A square is always a rectangle but is a rectangle always a square?
What is, "no it is not because the rectangle would have to have 4 congruent sides in order for it to be a square and sometimes a rectangle does not."
How many unit cubes is the figure made up of?
What is "10 unit cubes?"
Victoria used 1-inch cubes to build the rectangular prism shown. Find the volume of the rectangular prism Victoria built.
What is "72 cubic inches?"
What is the name for a polygon that has 7 sides and 7 angles?
What is "heptagon?"
Nathan wanted to draw a scalene obtuse triangle and he drew a triangle with 2 sides that were congruent and 1 obtuse angle. Is this a scalene obtuse angle? Explain.
What is, "this is obtuse because it has 1 congruent angle but it is not scalene because two of the sides are congruent?"
Complete the diagram by writing the name of one figure from the tiles in each box. Not every figure will be used.
What is "trapezoid, parallelogram, rhombus?"
What is "prism, two congruent bases and it's lateral faces are polygons?"
Mark packed 1-inch cubes into a box with a volume of 120 cubic inches. How many layers of 1-inch cubes did Mark pack?
A triangle has a total of _____ degrees inside of it. In other words, if I added up all three angles inside of any triangle, they would all add up to ____?
What is "180 degrees?"
Mario claims that a rhombus is sometimes a square, but a square is always a rhombus. Is he correct? Explain your answer.
What is "Yes, A square has 4 sides that are congruent and equal. A square with these features is also a rhombus. However, when a rhombus does not have 90 degree angles, it is not a square."
Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree? Explain your answer.
What is the volume of the composite figure?
What is "36 cubic ft?"
Two of a triangles angles are 100, and 40 degrees. What is the measure of the third angle?
What is "40 degrees?"
Name all the categories that a square could be classified as.
What is "polygon, quadrilateral, parallelogram, trapezoid, rhombus, rectangle, square."
Is a cylinder considered a polyhedron? Explain your answer.
What is "no, it is not a polyhedron because although it has two congruent bases, the bases are not polygons and the lateral faces are also not polygons because it is 1 curved face instead."
Megan’s aquarium has a volume of 4,320 cubic inches. Which could be the dimensions of the aquarium? Mark all that apply.
a. 16 in. by 16 in. by 18 in.
b. 14 in. by 18 in. by 20 in.
c. 12 in. by 15 in. by 24 in.
d. 8 in. by 20 in. by 27 in.
What is "c and d?"