Shape rules

Question 1

What is the sum of the interior angles of a triangle?

Answer 1

180 degrees

Question 2

True or False: A square is a type of rectangle.

Answer 2

True

Question 3

Fill in the blank: A circle has ___ lines of symmetry.

Answer 3

infinitely many

Question 4

What is the formula for the area of a rectangle?

Answer 4

Length × Width

Question 5

How many sides does a pentagon have?

Answer 5

5 sides

Question 6

True or False: All parallelograms have equal angles.

Answer 6

False

Question 7

What is the name of a 3D shape with 6 rectangular faces?

Answer 7

Cuboid

Question 8

What is the formula for the circumference of a circle?

Answer 8

2πr or πd

Question 9

Fill in the blank: The area of a triangle is calculated using the formula ___.

Answer 9

1/2 × base × height

Question 10

How many degrees are in a complete circle?

Answer 10

360 degrees

Question 11

What do you call a triangle with two equal sides?

Answer 11

Isosceles triangle

Question 12

True or False: A rhombus is a type of quadrilateral.

Answer 12

True

Question 13

What is the formula for the volume of a cylinder?

Answer 13

πr²h

Question 14

How many faces does a cube have?

Answer 14

6 faces

Question 15

What type of angle measures more than 90 degrees?

Answer 15

Obtuse angle

Question 16

Fill in the blank: The diagonals of a rectangle are ___ in length.

Answer 16

equal

Question 17

What is the term for a straight line that touches a circle at one point?

Answer 17

Tangent

Question 18

How many lines of symmetry does an equilateral triangle have?

Answer 18

3 lines

Question 19

What are the angles called that are opposite each other when two lines cross?

Answer 19

Vertically opposite angles

Question 20

True or False: A trapezoid has at least one pair of parallel sides.

Answer 20

True

Question 21

What is the name of a polygon with 8 sides?

Answer 21

Octagon

Question 22

Fill in the blank: The sum of the interior angles of a quadrilateral is ___ degrees.

Answer 22

360 degrees

Question 23

What is the formula for the area of a circle?

Answer 23

πr²

Question 24

True or False: The opposite sides of a parallelogram are equal in length.

Answer 24

True

Question 25

What is the name of a 3D shape with a circular base and a single vertex?

Answer 25

Cone

Question 26

How do you calculate the perimeter of a square?

Answer 26

4 × side length

Question 27

What is the relationship between the angles of a right triangle?

Answer 27

One angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Question 28

What is the formula for the area of a rectangle?

Answer 28

Area = length × width

Question 29

True or False: The perimeter of a shape is the distance around it.

Answer 29

True

Question 30

Fill in the blank: The formula for the area of a triangle is ______.

Answer 30

Area = 1/2 × base × height

Question 31

What is the perimeter of a square with a side length of 5 units?

Answer 31

Perimeter = 20 units

Question 32

Multiple Choice: What is the formula for the area of a circle? A) πr² B) 2πr C) r²

Answer 32

A) πr²

Question 33

How do you calculate the perimeter of a triangle?

Answer 33

Perimeter = side1 + side2 + side3

Question 34

True or False: The area of a parallelogram can be found using the formula base × height.

Answer 34

True

Question 35

Fill in the blank: The formula for the perimeter of a rectangle is ______.

Answer 35

Perimeter = 2(length + width)

Question 36

What is the area of a circle with a radius of 3 units?

Answer 36

Area = 28.27 square units (using π ≈ 3.14)

Question 37

Multiple Choice: Which shape has the largest area for a given perimeter? A) Square B) Rectangle C) Triangle

Answer 37

A) Square

Question 38

What is the perimeter of a rectangle with a length of 10 units and a width of 4 units?

Answer 38

Perimeter = 28 units

Question 39

True or False: The area of a trapezoid can be calculated using the formula (base1 + base2) × height / 2.

Answer 39

True

Question 40

Fill in the blank: The formula for the area of a rhombus is ______.

Answer 40

Area = (diagonal1 × diagonal2) / 2

Question 41

What is the formula for the circumference of a circle?

Answer 41

Circumference = 2πr

Question 42

How do you find the area of a regular polygon?

Answer 42

Area = (Perimeter × Apothem) / 2