Conclusions in Geometry

Given: <1 and <2 are supplementary. What can you conclude?

• m<1 + m<2 = 180

• m<1 + m<2 = 90

• m<1 = m<2

• nothing

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary

What reason supports the statement?

• Vertical angles are congruent.

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Reflexive Property

If two angles form a linear pair, which of the following must also be true (Select all true).

• the angles are both acute

• the angles are supplementary

• the sum of the angles is 180 degrees

• the angles are adjacent

If Veronica passes Geometry, she will go to Algebra 2

Veronica passed Geometry.

 

Which is a valid conclusion from the given statements?

• Veronica will go to Algebra 2.

• Veronica will not go to Algebra 2.

• Veronica will not pass Geometry.

• Veronica will repeat Geometry.

What is the conclusion?

• ∠1 ≅ ∠4.

• ∠2 ≅ ∠3.

• ∠1 ≅ ∠4 AND ∠2 ≅ ∠3.

• Segment AB is congruent to Segment CD.

Given statements: If Felicia passes Geometry, she will go to Algebra 2Felicia passed Geometry. 

Which is a valid conclusion from the given statements?

• Felicia will go to Algebra 2.

• Felicia will not go to Algebra 2.

• Felicia will not pass Geometry.

• Felicia will repeat Geometry.

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles

Which of the following conclusions CANNOT be drawn just by looking at the diagram?

• GH and AB intersect at D

• <GDA and <HDB are vertical angles

• D is the midpoint of GH

• G, D, and H are collinear