Congruent Triangles

What is the Angle-Angle (AA) criterion for triangle similarity?

• If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

• If the sides of one triangle are proportional to the sides of another triangle, the triangles are similar.

• If the angles of one triangle are equal to the angles of another triangle, the triangles are congruent.

• If one angle of a triangle is equal to one angle of another triangle, the triangles are similar.

How can you determine if two triangles are congruent using the SSS postulate?

• By measuring the angles of both triangles; if all three pairs of angles are equal, the triangles are congruent.

• By measuring all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

• By comparing the areas of both triangles; if the areas are equal, the triangles are congruent.

• By checking if the triangles have the same perimeter; if the perimeters are equal, the triangles are congruent.

Can two triangles be congruent if only one angle is known?

• Yes, one angle is sufficient to prove congruence.

• No, knowing only one angle is not sufficient to prove triangle congruence; additional information is needed.

• Two triangles can be congruent if they have the same area.

• Congruence can be determined by the ratio of the angles.

What does SAS stand for in triangle congruence?

• Side-Angle-Side

• Side-Side-Angle

• Angle-Side-Angle

• Side-Side-Side

What is the difference between corresponding sides and corresponding angles?

• Corresponding sides are the sides that are in the same relative position in two triangles, while corresponding angles are the angles that are in the same relative position.

• Corresponding sides are the angles that are in the same relative position, while corresponding angles are the sides that are in the same relative position in two triangles.

• Corresponding sides are the longest sides of the triangles, while corresponding angles are the smallest angles of the triangles.

• Corresponding sides and angles are always equal in size regardless of the triangle's shape.

What does HL stand for in triangle congruence?

• Hypotenuse-Leg

• Height-Length

• Half-Leg

• Hypotenuse-Line

What does it mean if two triangles are not congruent?

• They have the same shape and size.

• They do not have the same shape and size; at least one pair of corresponding sides or angles is different.

• They are identical in all aspects.

• They can be transformed into each other through rotation.

What does SSS stand for in triangle congruence?

• Side-Side-Side

• Side-Side-Angle

• Angle-Side-Side

• Angle-Angle-Side

What are corresponding angles?

• Angles that are equal in measure.

• Angles that are in the same position at each intersection where a straight line crosses two others.

• Angles that are supplementary to each other.

• Angles that are adjacent to each other.

If two triangles have two pairs of equal angles, what can be concluded?

• They are congruent by the Angle-Angle (AA) criterion.

• They are similar but not necessarily congruent.

• They have the same area but different shapes.

• They are not related in any way.