WorksheetsIntro to Geometry Proofs Vocab
Total questions: 20
Worksheet time: 20mins
What type of angles are these?
Adjacent Angles
Linear Pair
Complementary Angles
Supplementary Angles
Vertical Angles
What type of angles are these? (select 2)
Adjacent Angles
Linear Pair
Complementary Angles
Supplementary Angles
Vertical Angles
Vertical angles are always
acute
total 180 degrees
congruent (equal measures)
adjacent angles
Two segments that have the same measure (or length) are called:
(a)
Fill in the blanks to complete the geometric proof:
∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction
Property of Equality
∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property
∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property
∠PQR = 38; B: Definition of Complementary Angles; C: Substitution
What reason justifies statement #2?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
How can you prove step #4?
Vertical angle theorem
Subtraction property of equality
Transitive property of congruence
Definition of supplementary angles
What is the "reason" for step 5 of the proof?
Angle Bisector Theorem
Reflexive property
CPCTC Theorem
Proof
Identify the missing statement or reason
Given
Vertical Angles Theorem
Definition of Angle Bisector
Alternate Interior Angles Theorem
How can you prove step #2?
Vertical angle theorem
Subtraction property of equality
Transitive property of congruence
Definition of supplementary angles
How can you prove step #5?
Vertical angle theorem
Subtraction property of equality
Transitive property of congruence
Definition of supplementary angles
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 ∠A is right, then m∠A = 90°.
Definition of Supplementary Angles
Angle Addition Postulate
Definition of Right Angle
Definition of Complementary Angles
If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.
Definition of Supplementary Angles
Angle Addition Postulate
Vertical Angles Theorem
Definition of Complementary Angles
If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.
Definition of Vertical Angles
Definition of Congruent Angles
Angle Addition Postulate
Definition of Angles
If DB bisects ∠ABC, then ∠ABD ≅ ∠CBD.
Definition of Congruent Angles
Definition of Angle Bisector
Angle Addition Postulate
Definition of Right Angle
Points that lie on the same line are called ___________________________________.
collinear points
noncollinear points
defined Terms
endpoints
Line segments that have the same length are called ______________________________.
congruent segments
congruent angles
midpoint
segment bisector
A rule that is accepted without a proof is called a ______________________.
postulate
defined term
linear pair
right angle
