1/11 Drawing Conclusions in Geometry

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.HSG.CO.D.12

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

Tags

CCSS.HSG.CO.C.9

Given: OR $\perp$ QP.  What should you conclude by definition of perpendicular?

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary

• <QRP = 180 $\degree$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

If two angles are complementary, which of the following must also be true? (Select all that are true)

• the angles add up to 90 degrees

• the angles are both acute

• the angles form a linear pair

• the angles have a sum of 180 degrees

What reason supports the statement?

• Vertical angles are congruent.

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Reflexive Property

Tags

CCSS.HSG.CO.C.9

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

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

Tags

CCSS.HSG.CO.C.10

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

•  $<1\cong<3$  

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

The sum of the angles in a triangle is:

• 90 degrees

• 180 degrees

• 360 degree

• depends on the triangle

Tags

CCSS.HSG.CO.C.10