Geometry Proofs Theorems Postulates and Properties

The property demonstrated by the following:

If AB=CD and CD=EF, then AB=EF

• reflexive

• substitution

• segment addition

• transitive

If B is between AC then AB + BC = AC is an example of which postulate?

• subtraction property of equality

• addition property of equality

• segment addition

• angle addition

Tags

CCSS.8.G.A.2

If G is interior of <ABC then <ABG + <GBC = <ABC is an example of which postulate?

• angle addition postulate

• congruent angle postulate

• segment addition postulate

• supplementary angle postulate

Tags

CCSS.8.G.A.5

If AB=27 and DE=27 then AB=DE is an example of:

• transitive property

• substitution

• segment addition

• angle addition

Tags

CCSS.HSG.SRT.B.5

What does the word BISECT mean?

• To cut something into more than five pieces.
• It is a plane with two sets of wings.
• A shape that has three sides. 
• To cut something into two congruent pieces or in half.

Tags

CCSS.RI.11-12.4

CCSS.RI.8.4

CCSS.RI.9-10.4

CCSS.RL.11-12.4

CCSS.RL.9-10.4

In the drawing, line l || m. What is true of angles 1 and 2 and why?

• They are supplementary by same side interior angles theorem.

• They are congruent by alternate interior angles theorem

• They are congruent by alternate exterior angles theorem.

• They are congruent by corresponding angles theorem.

Tags

CCSS.8.G.A.5

State the angle relationship and find the measure of angle 1

• Corresponding
  110
• Alternate Exterior
  110
• Corresponding
  70
• Alternate Exterior
  70

Tags

CCSS.8.G.A.5

Alternate Exterior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.8.G.A.5

Which property is used here; "If AB=CD, then CD=AB"?

• Reflexive Property

• Symmetric Property

• Transitive Property

Tags

CCSS.HSG.SRT.B.5

Congruent by

• SSS
• SAS
• ASA
• AAS

Tags

CCSS.HSG.SRT.B.5