Geometry Proofs Theorems Postulates and Properties

State the theorem illustrated by the diagram.

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CCSS.7.G.B.5

State the theorem illustrated by the diagram.

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CCSS.7.G.B.5

State the theorem illustrated by the diagram.

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CCSS.HSG.CO.C.11

State the postulate illustrated by the diagram.

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CCSS.4.G.A.1

How many lines drawn in the figure contain point Z?

• 1

• 2

• 3

• 4

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CCSS.4.G.A.1

Which of the following can be used as reasons in a proof? Select all that apply.

• Definitions

• Algebraic properties

• Postulates

• Theorems

• Conjectures

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CCSS.8.G.A.5

Earlier in this topic, you proved the Common Segment Theorem. Do you think you could prove a Common Angle Theorem? Using the diagram, what do you think that theorem would state? Select all that apply.

• If K and M are in the interior of ∠𝖧𝖨𝖩,

  then 𝗆∠𝖧𝖨𝖪+𝗆∠𝖪𝖨𝖬+𝗆∠𝖩𝖨𝖬=𝗆∠𝖧𝖨𝖩.

• If ∠𝖧𝖨𝖪≅∠𝖩𝖨𝖬,

  then ∠𝖧𝖨𝖬≅∠𝖩𝖨𝖪.

• If ∠𝖧𝖨𝖬≅∠𝖩𝖨𝖪,

  then ∠𝖧𝖨𝖪≅∠𝖩𝖨𝖬.

• If ∠𝖧𝖨𝖪≅∠𝖩𝖨𝖬,

  then ∠𝖪𝖨𝖬≅∠𝖬𝖨𝖪.

Tags

CCSS.HSG.CO.C.9

Select the response that justifies the given statement:

XP + PY = XY

• Addition property

• Subtraction property

• Segment Addition postulate

• Angle addition postulate

Fill in the blank to give a reason for the statement below. You may refer to the Properties of Equality shown. If m∠1=m∠2 and m∠2=m∠3, then m∠1=m∠3 by the__________ property of equality.

• addition

• subtraction

• symmetric

• transitive

• multiplication

Tags

CCSS.HSG.SRT.B.5

• 21°

• Cannot be determined

• 63°

• 42°

Tags

CCSS.HSG.CO.C.9