Geometry Mean Leg Theorem

What additional information is required in order to know that the triangles are congruent by HL Theorem?

• ∠G ≅ ∠X

• ∠H ≅ ∠V

• GI ≅ XV

• GH ≅ XW

Arjun, Ava, and William are trying to solve a geometry problem using the hypotenuse leg (HL) theorem. Before they can apply the HL theorem, they must first state...

• CPCTC

• The triangles are right triangles.

• That vertical angles are congruent.

• The reflexive property

In the given proof, what is the statement for step 2?

Find the value of x.

• 12

• 4√2

• √32

• 16

Solve for x. Round to the nearest tenth if necessary.

Mathematical Equivalence

ON

s=​ (a)  

t=​ (b)  

• 9

• 7

• 10

• 8

If the hypotenuse of a right triangle is 13 cm and one leg is 5 cm, what is the length of the other leg?

• 12 cm

• 10 cm

• 8 cm

• 6 cm

What if the value of x?

• 16

• 12

• 4

• 64

x=?

• 3

• 5

• 4

• 6

In the right triangle ABC below, CD is the altitude to the hypotenuse AB. If AD=3, AB=12, what is the value of CB?

• 120