Proving Right Triangle Congruence with HL Theorem

What does it mean for two triangles to be congruent?

• They are both scalene triangles.

• They have the same perimeter.

• They have the same size and shape.

• They have the same color.

Tags

CCSS.8.G.A.2

What does 'HL' stand for in triangle congruence?

• Horizontal-Linear

• Height-Length

• Hypotenuse-Leg

• High-Low

Tags

CCSS.HSG.SRT.B.5

Which type of triangles does the HL shortcut apply to?

• Right triangles

• Equilateral triangles

• Acute triangles

• Isosceles triangles

In the HL shortcut, besides the hypotenuse, what else must be congruent?

• All angles

• One pair of legs

• One pair of angles

• All sides

Can the HL shortcut be used if only the legs are known to be congruent?

• No, unless all sides are congruent

• Yes, always

• No, the hypotenuse must also be congruent

• Yes, if the triangles are isosceles

Tags

CCSS.HSG.SRT.B.5

If two right triangles have one leg and the hypotenuse congruent, they are congruent by which rule?

• HL

• ASA

• SAS

• SSS

Tags

CCSS.HSG.SRT.B.5

What is required to prove triangle congruence using the SAS postulate?

• Two pairs of congruent sides and one congruent angle between them

• Two congruent angles and any side

• One right angle and two congruent sides

• Three congruent sides

Tags

CCSS.HSG.SRT.B.5

Why might the HL shortcut not be applicable even in right triangles?

• If the hypotenuse is not congruent

• If the triangles are not right

• If all angles are known

• If the triangles are congruent by ASA

Tags

CCSS.HSG.SRT.B.5

What does the SAS postulate require to prove congruence?

• Two sides and the angle between them congruent

• Two congruent sides and one angle

• One side and two congruent angles

• Two angles and one side between them

Tags

CCSS.HSG.SRT.B.5

Which statement is true about proving triangle congruence?

• HL is always applicable in right triangles.

• SAS requires three congruent sides.

• ASA is used when two angles and the side between them are congruent.

• SSS is the only method to prove congruence.

Tags

CCSS.HSG.SRT.B.5