Plane Geometry Review

John is creating a model of a bridge. He notices that two supporting beams form similar triangles. If one beam is 4cm in width and the corresponding beam is 6cm in width, what is the scale factor of the model?

• 1.5

• 5

• 2.5

• 3

Tags

CCSS.7.G.A.1

John is trying to determine the measurements for a triangular garden plot where two angles have been measured as 30° and 60°. What is the measure of the third angle?

• 75°

• 120°

• 90°

• 45°

Tags

CCSS.8.G.A.5

Rolando is making buttons that are shaped like circles. Each button has an area of 36  square centimeters. Which measurement shows the circumference of each of the buttons in centimeters?

• 18.8

• 56.5

• 37.7

• 113.1

Tags

TEKS.MATH.8.8D

John is planning to build a new garden. He wants to add a rectangular vegetable patch with length 5cm and width 3cm, and a triangular flower bed with base 4cm and height 6cm. Calculate the total area of John's garden.

• 27cm^2

• 18cm^2

• 30cm^2

• 15cm^2

Tags

CCSS.6.G.A.1

sprinkler rotates and sprays water onto a lawn. The part of the lawn watered by the sprinkler is in the shape of a circle with the diameter of 14 ft.

Which measurement is closest to the area in square feet of the part of the lawn watered by the sprinkler?

• 1231 ft

• 44 ft

• 615 ft

• 154 ft

Tags

TEKS.MATH.7.5C

Imagine you have a garden plot that is a square with a side length of 10cm, and you want to create a smaller, similar plot with a side length of 5cm. What is the scale factor between the two plots?

• 2

• 3

• 6

• 4

Tags

CCSS.7.G.A.1

Julie was looking at the architect's blueprint of her house.

• The scale on the blueprint was  1/4 inch = 1 foot.

• The actual dimensions of her bedroom are 12 feet by 16 feet.

What are the dimensions of her bedroom on the blueprint?

• 6 in by 8 in

• 8 in by 12 in

• 3 in by 4 in

• 48 in by 64 in

Tags

TEKS.MATH.7.11C

While constructing a new railway line, engineers have to ensure that two tracks run parallel to each other. If a crossing track (transversal) forms an angle of 110° with one of the parallel tracks, what would be the measure of the corresponding angle where the transversal crosses the other track?

• 90°

• 120°

• 100°

• 110°

Tags

CCSS.8.G.A.5

Imagine a garden that has a square flower bed with a side length of 4cm and is adjoined by a triangular vegetable patch with a side length of 6cm for each side. Calculate the total perimeter of the garden.

• 34cm

• 40cm

• 22cm

• 28cm

Tags

CCSS.3.MD.D.8

If two gardens are designed in the shape of rectangles and are similar, and one garden has a length of 12cm and width of 6cm, while the other garden has a length of 18cm, what is the ratio of their widths?

• 3:4

• 1:2

• 2:3

• 4:5