Prove Theorems Angles Segments

What step (beyond the given statements) is necessary to prove the triangles congruent?

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Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

Why is ∠KMJ ≌∠LJM?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

• Definition of Congruent Angles

• Definition of Angle Bisector

• Angle Addition Postulate

• Definition of Right Angle

What reasons supports the statement?

• Symmetry Property

• Reflexive Property

• Transitive Property

• SSS

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

What is a line segment or ray drawn from a vertex that divides the angle into two congruent angles?

• Median of a Triangle

• Altitude of a Triangle

• Perpendicular Bisector of a side of a Triangle

• Angle Bisector

• Midpoint of a Line Segment

When two parallel lines are cut by a transversal, then: (select all that apply)

• Vertical angles are congruent.

• The exterior angle is equal to the sum of the two remote interior angles

• Corresponding angles are congruent

• Alternate interior angles are congruent

• Same-side interior angles are congruent

In a triangle what is the line segment drawn from a vertex perpendicular to the opposite side (or an extension of the opposite side?

• Median of a Triangle

• Altitude of a Triangle

• Perpendicular Bisector of a side of a Triangle

• Angle Bisector

• Midpoint of a Line Segment

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7