4.3.1 - Unit Review

The hypotenuse is the _____ side of a right triangle.

• Longest

• Shortest

• Only

• Third

A _____ of a right triangle is one of the two sides that creates the 90 degree angle.

To use HL Congruence, I need a pair of congruent _____ and a pair of congruent hypotenuses.

• Leg; Legs

• Leg; Hypotenuses

• Hypotenuse; Legs

• Hypotenuse; Hypotenuses

I am only allowed to use CPCTC to match up the corresponding parts of two triangles once I know that they are ______.

• Congruent

• Right

• Isosceles

• Scalene

Fill in the reasons to complete the proof using the HL Congruence Theorem.

a

b

c

d

Definition of right triangle

Reflexive Property

HL Congruence Theorem

Definition of perpendicular

Find the measures of <A, <B, and <C in the image.

• m<A

• m<C

• m<B

Answer explanation

<A is supplementary to the 90 degree angle. They add to 180.
Therefore, m<A = 90

<B can be found using the Exterior Angle Theorem.

m<B = 90 + 56 = 146

<C can be found using Triangle Sum Theorem, of the fact that <B and <C are supplementary.

m<C = 180-90-56 = 34

m<C = 180-146 = 34

What is the correct congruence statement for this figure?

Answer explanation

Find the value of x

• x = 15

• x = 10

• x = 20

Answer explanation

Use your answer from the previous question to find m<1

Answer explanation

Answer explanation

Classify each triangle by its sides.

Groups:

(a) Scalene

,

(b) Isosceles

,

(c) Equilateral

• 
• 
• 
• 
• 

Answer explanation