Exploring Hypotenuse Leg Congruence

Why can't SSA be generally used to establish triangle congruence?

• It only works for right triangles.

• It only works for equilateral triangles.

• It only works for isosceles triangles.

• It doesn't provide enough information.

What is the special case of SSA that applies to right triangles?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

• Angle-Angle-Side (AAS)

In a right triangle, what is the hypotenuse?

• The side opposite the right angle

• The side adjacent to the right angle

• The shortest side

• Any side

What must be true for two right triangles to be congruent under HL congruence?

• Their perimeters must be equal.

• Their areas must be equal.

• Their angles must be equal.

• Their hypotenuses and one leg must be of equal length.

If two right triangles have hypotenuses of length C and legs of length A, what can be inferred?

• They are congruent by HL congruence.

• They are congruent by SAS congruence.

• They are not necessarily congruent.

• They are similar but not congruent.

What theorem can be used to confirm the congruence of the third side in right triangles?

• Pythagorean theorem

• Triangle inequality theorem

• Sine rule

• Cosine rule

According to the Pythagorean theorem, what is the length of the third side in a right triangle with hypotenuse C and leg A?

• C + A

• C - A

• sqrt(C^2 + A^2)

• sqrt(C^2 - A^2)

What is the significance of the Pythagorean theorem in establishing HL congruence?

• It demonstrates the triangles have equal perimeter.

• It shows the triangles have equal area.

• It proves the triangles are similar.

• It confirms the congruence of the third side.

What is the main takeaway about hypotenuse-leg congruence?

• It is a special case of SSA that applies to right triangles.

• It applies to all types of triangles.

• It is a general rule for triangle congruence.

• It only applies to isosceles triangles.

Why is hypotenuse-leg congruence considered a special case of SSA?

• Because it applies to all triangles.

• Because it applies to isosceles triangles.

• Because it only applies to right triangles.

• Because it is a general rule.