Triangle Similarity Theorem and Review

• Not Similar

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Pythagorean Theorem

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Find the value of x.

• 10

• 35

• 8

• None of these

The Gateway Arch in Missouri casts a 120 foot shadow while a 16 foot pole casts a 4 foot shadow. How tall is the Arch?

• 30 feet

• 360 feet

• 480 feet

• 600 feet

Solve for x.

• x = 5

• x = 3

• x = 14

• x = 1

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter