Unit 4 Triangle Congruence Review

Front

What is the Definition of Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the value of x in the equation 4x - 8 = 12?

Back

x = 5

Front

In triangle DEF, if angle D is congruent to angle E, what can be inferred about the sides opposite these angles?

Back

The sides opposite angle D and angle E are also congruent.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the value of DF in triangle DEF if DE = x + 4, EF = 4x - 8, DF = 7x - 35 and angle D is congruent to angle E?

Back

DF = 28.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate stating that 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 Vertical Angles Theorem?

Back

Vertical angles are equal; when two lines intersect, the angles opposite each other are congruent.

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are similar, but not necessarily congruent.