Review of Triangles

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

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Solve for x.

• x = 5

• x = 3

• x = 14

• x = 1

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

What could be the final reason in the proof below?

• SAS

• ASA

• CPCTC

• HL

In the diagram, \overline{AB}\cong\overline{DE},\ \angle A\cong\angle D,\ and\ \overline{CA}\cong\overline{FD} What theorem can be used to prove the triangles are congruent?

• SSA

• AAS

• SAS

• HL

What information is missing to determine if the triangles are congruent by HL?

• ∠G ≅ ∠X

• ∠H ≅ ∠W

• GI ≅ XV

• GH ≅ XW

For the given picture, what additional piece of information would be needed to prove triangle BAC is congruent to triangle DAC by SAS?

• m<BAC = m<DAC

• m<BDA = m<DCA

• m<ABC = m<ADC

• AC = AC