Geometry - Triangle Congruence SSS and SAS

What does the Side-Side-Side (SSS) congruence theorem state about two triangles?

• All angles of one triangle are congruent to all angles of a second triangle.

• All sides of one triangle are congruent to all sides of a second triangle.

• Two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle.

• Two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle.

In a triangle congruence proof, if two triangles share a common side, what property allows you to state that this common side is congruent to itself?

• Transitive Property

• Symmetric Property

• Reflexive Property

• Definition of Midpoint

If point H is the midpoint of segment EG, what can be concluded about segments EH and GH?

• EH is parallel to GH.

• EH is perpendicular to GH.

• EH is congruent to GH.

• EH is twice the length of GH.

For the Side-Angle-Side (SAS) congruence theorem, what does "included angle" refer to?

• Any angle within the triangle.

• The angle opposite to one of the two congruent sides.

• The angle formed by the two congruent sides.

• The largest angle in the triangle.

What does the Side-Angle-Side (SAS) congruence theorem state about two triangles?

• If three sides of one triangle are congruent to three sides of another triangle.

• If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

• If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

• If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle.

When two lines intersect, what kind of angles are formed that are always congruent to each other?

• Corresponding angles

• Alternate interior angles

• Vertical angles

• Consecutive interior angles

If two parallel lines are cut by a transversal, which pair of angles are congruent?

• Consecutive interior angles

• Alternate interior angles

• Corresponding angles

• Vertical angles

What is the effect of a segment bisecting an angle?

• It divides the angle into two unequal parts.

• It creates two congruent angles.

• It forms a right angle.

• It makes the angle larger.