Symmetry and Coordinates: A 5th Grade Geometry Quest

A butterfly has two wings that are mirror images of each other. If one wing is 10 cm long, how long is the other wing?

• 10 cm

• 20 cm

• 15 cm

• 5 cm

On a coordinate grid, point A is located at (3, 4) and point B is at (3, -4). What is the distance between points A and B?

• 10

• 8

• 6

• 4

A rectangular garden has a length of 12 meters and a width of 8 meters. If you draw a line of symmetry down the middle, how many equal sections will the garden be divided into?

• 1

• 4

• 3

• 2

In a park, there is a fountain located at (5, 5). If you want to place benches symmetrically around the fountain at (3, 5) and (7, 5), how far apart are the benches?

• 6 units

• 2 units

• 4 units

• 8 units

A square has a perimeter of 40 cm. What is the length of one side, and how many lines of symmetry does the square have?

• Length of one side: 10 cm; Lines of symmetry: 4

• Length of one side: 8 cm; Lines of symmetry: 6

• Length of one side: 15 cm; Lines of symmetry: 3

• Length of one side: 5 cm; Lines of symmetry: 2

On a coordinate grid, a triangle has vertices at (1, 1), (1, 4), and (4, 1). Is this triangle symmetrical? If so, about which line?

• Yes, the triangle is symmetrical about the line y = 2.

• Yes, the triangle is symmetrical about the line y = 1.

• No, the triangle is not symmetrical.

• No, the triangle is symmetrical about the line x = 2.

A kite has two pairs of equal-length sides. If one side measures 6 cm, what is the total perimeter of the kite?

• 24 cm

• 30 cm

• 12 cm

• 18 cm

In a classroom, a bulletin board is shaped like a rectangle with a length of 5 feet and a width of 3 feet. If you draw a diagonal line from one corner to the opposite corner, how many triangles are formed?

• 2

• 4

• 3

• 1

A circle has a radius of 4 cm. If you draw a diameter, how many lines of symmetry does the circle have?

• infinite

• 8

• 2

• 4

On a coordinate grid, a rectangle has vertices at (2, 3), (2, 7), (6, 3), and (6, 7). What is the area of the rectangle?

• 16

• 12

• 20

• 10