Congruent Triangles (5.1 & 5.2)

Front

What is the sum of the interior angles in a triangle?

Back

180 degrees

Front

If angle a and angle b are complementary, what can you say about angle d if it is equal to the sum of angle a and angle b?

Back

Angle d is also complementary to the remaining angle in the triangle.

Front

What type of triangle has all angles less than 90 degrees?

Back

Acute triangle

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

In congruent triangles, what can be said about their corresponding sides and angles?

Back

Their corresponding sides and angles are equal.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

What is the purpose of using congruence in solving geometric problems?

Back

To prove that two triangles are the same size and shape, allowing for the application of known properties.