Polygons
A rhombus can belong to multiple categories. Which categories does this rhombus NOT belong to? Select the two correct answers.
❑ A. quadrilateral
❑ B. parallelogram
❑ C. trapezoid
❑ D. square
❑ C. trapezoid
❑ D. square
A corner of a square forms a perfect “L” shape. What type of angle is this, and how do you know?
Right angle
A triangle has three sides that are all the same length. What type of triangle is it, and how do you know?
Equilateral triangle
All three sides are equal, and all angles are also equal.
Charissa says her figure is a parallelogram with four sides that are the same length. Miguel says his figure is a parallelogram with four sides that are the same length. Charissa's figure is not the same as Miguel's figure.
What are their figures?
Square and rhombus
Which TRIANGLE NEVER has any sides that are the same length?
Scalene triangle
Which quadrilateral has exactly one pair of parallel sides?
❑ A. rectangle
❑ B. rhombus
❑ C. trapezoid
❑ D. parallelogram
trapezoid
Maria opens a book so that it is only slightly open—not very wide. Would the angle between the pages be acute, right, or obtuse? Explain your thinking.
Acute angle
Liam draws a triangle with two sides that are the same length and one side that is different. What type of triangle did he draw?
Isosceles triangle
It has two equal sides and one different side.
A rectangular parking lot is being expanded so its new dimensions are four times the original dimensions. The original dimensions of the parking lot are 15 meters by 30 meters. What is the perimeter of the expanded parking lot?
360 m
A shape has 6 sides and 6 vertices. All the sides are the same length and all angles are equal. What is the name of this polygon, and is it regular or irregular?
Hexagon, regular polygon
A 6-sided shape is a hexagon. Since all sides and angles are equal, it is regular.
Which quadrilaterals do NOT always have four angles that are the same size? Select the two correct answers.
❑ A. rhombus
❑ B. rectangle
❑ C. trapezoid
❑ D. square
rhombus
trapezoid
Jamal stretches his arms out wide so they form a big opening greater than a square corner. What type of angle do his arms make, and what makes you say that?
Obtuse angle
A triangle has one angle that is larger than a right angle (greater than 90°). What type of triangle is this?
Obtuse triangle
It has one angle greater than 90°.
A rectangular parking lot is being expanded so its new dimensions are four times the original dimensions. The original dimensions of the parking lot are 15 meters by 30 meters. What is the area of the expanded parking lot?
7,200 sq m
A polygon has 4 sides, but one side is longer than the others and the angles are not all the same.
Is this polygon regular or irregular? Explain why.
Irregular polygon
A regular polygon must have all equal sides and angles. Since this one does not, it is irregular.
A square can belong to multiple categories. Which category does this square NOT belong to?
❑ A. rhombus
❑ B. parallelogram
❑ C. trapezoid
❑ D. rectangle
trapezoid
A clock shows 3:00. Look at the hands of the clock—what type of angle do they form, and what is special about this angle?
Right angle
Sofia draws a triangle where all three angles are smaller than 90°. What type of triangle did she draw?
Acute triangle
All angles are less than 90°.
A square playground is being expanded so its new dimensions are triple the original dimensions. The original playground had sides 50 feet in length. What is the perimeter of the expanded playground?
600 ft
A student says, “All polygons have equal sides.”
Is this statement true or false?
False
Not all polygons have equal sides. For example, a rectangle is a polygon, but only opposite sides are equal.
Which attributes are found in both a square and a rhombus? Select the two correct answers.
❑ A. All sides are the same length.
❑ B. Opposite sides are parallel.
❑ C. Four angles are the same size.
❑ D. Four angles are right angles.
All sides are the same length.
Opposite sides are parallel.
Sofia draws an angle that is smaller than a right angle. What type of angle did she draw, and what are the key features of that angle?
Acute angle
An angle smaller than a right angle is less than 90 degrees, which means it is acute.
A triangle has one square corner (an “L” shape). What type of triangle is it, and what makes it special?
Right triangle
It has one right angle (exactly 90°), which makes the square corner.
A square playground is being expanded so its new dimensions are triple the original dimensions. The original playground had sides 50 feet in length. What is the area of the expanded playground?
22,500 sq ft
A shape has 5 sides, but one of the sides curves instead of being straight.
Is this shape a polygon? Why or why not?
No, it is not a polygon
Polygons must have only straight sides, so a curved side means it is not a polygon.