Geometry Spring Semester Final Review

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

Find the missing length indicated. (Hint: Set up a proportion and solve for x.)

• 30

• 25

• 45

• 50

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.
• Yes, because two of the angles are congruent.
• No, because only one triangle has a right angle.
• Not enough information to determine.

Simplify:

√7 ⋅√7

• 7

• 2√7

• 14

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Isosceles
• Obtuse

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4√3

• 8

Are these triangles congruent by SSS? Give a congruence statement

• Yes $\Delta ACB\cong\Delta XYZ$

• No

• Yes $\Delta CBA\ \cong\Delta YXZ$

• Yes $\Delta CBA\cong\Delta YZX$

• A
• B
• C
• D

What is the ratio for Tangent? (Hint: SOH CAH TOA)

• Adjacent Leg / Opposite Leg

• Adjacent Leg / Hypotenuse

• Opposite Leg / Hypotenuse

• Opposite Leg / Adjacent Leg

Choose the correct ratio. (Hint: SOH CAH TOA)

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14