Midterm Geometry

The figure is formed by rectangles. Find the total area. The diagram is not to scale.

• 104 ft²

• 36 ft²

• 80 ft²

• 68 ft²

Identify a pair of alternate interior angles.

• ∠1 and ∠5

• ∠8 and ∠4

• ∠2 and ∠5

• ∠3 and ∠4

Line r is parallel to line t. Find m∠6. The diagram is not to scale.

• 32

• 138

• 142

• 42

The expressions in the figure below represent the measures of two angles. Find the value of x. f//g. The diagram is not to scale.

• 15

• 17

• -16

• 16

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

• x = 13

• x = 7

• x = 5.5

• x = 10

Are the two triangles similar? How do you know?

• yes, by SAS~

• yes, by SSS~

• yes, by AA~

• no

State whether the triangles are similar. If so, state the reason they are similar.

• SAS~

• SSS~

• AA~

• not ~

Michael wanted to measure the height of his school's flagpole. He placed a mirror on the ground 48 feet from the flagpole, then walked backwards until he was able to see the top of the pole in the mirror. Using similar triangles, find the height of the flagpole.

• 20 ft

• 38.4 ft

• 55 ft

• 25 ft

Find the area. The figure is not drawn to scale.

• 144.5 cm²

• 127 cm²

• 172 cm²

• 50 cm²

What is the height h of the parallelogram?

• 32

• 28

• 40.5

• 35