Topic 8 Review

In the figure below 𝐹𝐺𝐻𝐽~𝐾𝐿𝑀𝑁. Find 𝑚∠𝑁.

In the figure below 𝐹𝐺𝐻𝐽~𝐾𝐿𝑀𝑁. Find 𝑚∠F.

In the figure below 𝐹𝐺𝐻𝐽~𝐾𝐿𝑀𝑁. Find the value of 𝑥.

In the figure below 𝐹𝐺𝐻𝐽~𝐾𝐿𝑀𝑁. Find the value of Y.

In the figure below 𝐹𝐺𝐻𝐽~𝐾𝐿𝑀𝑁. If the area of 𝐹𝐺𝐻𝐽 is 83 𝑠𝑞.𝑢𝑛𝑖𝑡𝑠, what is the area of 𝐾𝐿𝑀𝑁

The trapezoid below is a scale drawing of a cattle pasture. The actual length of the shortest side of the pasture is 200 𝑚. What is the actual area, in square meters, of the cattle pasture?

Hint: 1 𝑚 = 100 𝑐𝑚.

An 8 in. by 11 in. photograph is being enlarged on a photocopier by a scale factor of 25%.

What are the dimensions of the new photograph?

• 6 in. by 8.25 in.

• 8.25 in by 11.25 in.

• 10 in by 13.75 in.

• 36 in by 44 in.

An 8 in. by 11 in. photograph is being enlarged on a photocopier by a scale factor of 25%.

Which statement correctly describes the area of the new photograph?

• New area = 1/4 x Original Area

• New area = 1/16 x Original Area

• New area = 5/4 x Original Area

• New area = 25/16 x Original Area

The areas of two similar polygons are 361 𝑐𝑚 squared and 81 𝑐𝑚 squared. Given that the perimeter of the first one is 38 𝑐𝑚, find the perimeter of the second. Round your answer to the nearest whole.

Quadrilateral 𝐶𝐷𝐸𝐹 is similar to quadrilateral 𝐾𝐿𝑀𝑁. Which statements are true? Select all that apply.

• 𝑚∠𝐶=𝑚∠𝐹

• 𝑚∠𝐸=𝑚∠𝑀

• 𝐶𝐷/𝐾𝐿=𝐸𝐹/𝑀𝑁

• 𝐶𝐹/𝐾𝑁=𝐸𝐹/𝑀𝑁

• 𝐿𝑀/𝐷𝐸=𝐾𝑁/𝐶𝐷