WorksheetsLine Segment and Angle Proofs
Total questions: 15
Worksheet time: 15mins
If B is the midpoint of AC, then AB ≅ BC.
Definition of Congruent Segments
Definition of Midpoint
Vertical Angles Theorem
Definition of Angle Bisector
Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?
Segment Addition Postulate
Angle Addition Postulate
Definition of Angle Bisector
Definition of Congruent Angles
If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.
Addition Property of Equality
Symmetric Property of Equality
Reflexive Property of Equality
Transitive Property of Equality
If DB bisects ∠ABC, then ∠ABD = ∠CBD.
Definition of Congruent Angles
Definition of Angle Bisector
Angle Addition Postulate
Definition of Right Angle
What reason supports the statement?
Vertical angles are congruent.
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Reflexive Property
What reason supports the statement?
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Vertical angles are congruent.
Reflexive Property
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
What is the justification (reason)?
reflexive property
definition of segment bisect
definition of a midpoint
substitution property
What should the reasons be for the first 2 statements?
Reflexive
Side Side Side
Alternate Interior Angles
Given
What is Statement?
∠MNL ≌ ∠ONP
MN ≌ ON
N ≌ N
MO ≌ OM
What is Reason?
Alternate Exterior Angles are congruent when formed by parallel lines
Alternate Interior Angles are congruent when formed by parallel lines
Vertical Angles are congruent
Definition of Angle Bisector
Can the triangles be proven congruent? If so, how?
ASA
AAS
SAS
Cannot be proven congruent
What additional information is required for the 2 triangles to be congruent by SAS?
A
B
C
D
What would be the correct "given" statements for this diagram?
T is the midpoint of segment BG and
∡B≅∡G
∡B≅∡G and ∡A≅∡W
T is the midpoint of segment BG and ∡A≅∡W
T is the midpoint of segment AW and ∡A≅∡W
