Similar Triangle Statements

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

Fill in the similarity statement for these two triangles.
ΔLMN ~ 

• ΔGEF

• ΔEFG

• ΔFEG

• ΔGFE

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

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

Find the value of x.

• Not Similar

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Pythagorean Theorem

• Not Similar

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Pythagorean Theorem

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Similar Triangles can be used to find the distance across the river. Review the picture.  Find the missing side measurement in the picture using a proportion.

• x = 900 m

• 25 m

• x = 25 m

• x = 0.04 m

Find the value of x.

• 10

• 35

• 8

• None of these