Hypotenuse Leg Theorem

Front

What is the Hypotenuse Leg (HL) Theorem?

Back

The Hypotenuse Leg Theorem states that if two right triangles have a congruent hypotenuse and one pair of congruent legs, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

In a right triangle, what is the hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What must be true for two triangles to be congruent using the HL Theorem?

Back

Both triangles must be right triangles, and they must have one pair of congruent legs and a congruent hypotenuse.

Tags

CCSS.HSG.SRT.B.5

Front

If ∠E is 45° and ∠B is 55°, what is the measure of ∠C in a triangle?

Back

The measure of ∠C is 80°.

Tags

CCSS.8.G.A.5

Front

What is the relationship between angles B and C if they are in the same triangle and the other angle is known?

Back

If ∠B is known, you can find ∠C using the triangle sum theorem, which states that the sum of the angles in a triangle is 180°.

Tags

CCSS.8.G.A.5

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the significance of stating that triangles are right triangles when using the HL Theorem?

Back

It is essential to state that the triangles are right triangles because the HL Theorem only applies to right triangles.

Front

What additional information can be concluded if two angles in a triangle are known?

Back

If two angles are known, the third angle can be determined using the triangle sum theorem.

Tags

CCSS.8.G.A.5

Front

Is it true that side C is always the longest side in a right triangle?

Back

True, side C, which is the hypotenuse, is always the longest side in a right triangle.

Front

What is the triangle sum theorem?

Back

The triangle sum theorem states that the sum of the interior angles of a triangle is always 180°.

Tags

CCSS.8.G.A.5