Identify the missing statement or reason

Alternate Interior Angles Theorem

What is the purpose of the Transitive Property of Angle Congruence in geometry?

To explain the relationship between 2 pairs of congruent angles when one angle is congruent to 2 others

To explain the relationship between 3 pairs of congruent angles when one angle is congruent to 3 others

To explain the relationship between two congruent angles

To prove Angle Congruence Theorem

When might you use the Subtraction Property of Equality in geometry?

To justify a statement in a proof involving subtracting from both sides of an equation.

To justify a step in a proof involving multiplying both sides of an equation.

To prove the Angle Subtraction Theorem

What might you use the Definition of Complementary Angles for in a geometric proof?

To justify the statement that two complementary angles add up to 90 degrees.

To prove the Vertical Angles Congruence Theorem

To justify the statement that two complementary angles add up to 180 degrees.

To explain the relationship between angles

What might you use the Definition of Supplementary Angles for in a geometric proof?

To justify the statement that two supplementary angles add up to 180 degrees

To justify the statement that two supplementary angles add up to 90 degrees

To explain the relationship between all adjacent angles

To make geometry more difficult

When might you use the Definition of Congruent Angles in geometry?

To justify the setting the measures of two congruent angles equal

To justify the setting the measures of two complementary angles equal

To justify the setting the measures of two supplementary angles equal

To prove the All angles = 90 degrees theorem

What might you use the Definition of Perpendicular Lines for in a geometric proof?

To justify the statement that two perpendicular lines form a 90 degree angle

To justify the statement that two perpendicular lines form a 180 degree angle

To explain the relationship between all intersecting lines

To make geometry more difficult

What might you use the Definition of Parallel Lines for in a geometric proof?

To justify the statement that two parallel lines never intersect

To justify the statement that two parallel lines intersect at 90 degrees

To explain the relationship between all intersecting lines

When might you use the Definition of a Right Angle in a geometric proof?

To justify the statement that a right angle measures 90 degrees

To justify the statement that a right angle measures 180 degrees

To explain the relationship between all intersecting lines

What is the purpose of the Addition Property of Equality in geometry?

It can be used as a "reason" in a proof to justify adding a value to each side of an equation.

It can be used as a "statement" in a proof to justify adding a value to each side of an equation.

To make geometry more difficult

To prove the Vertical Angles Congruence Theorem

Geometric Theorems and Proofs

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Why is it helpful to sketch a diagram when writing certain proofs?

To make the proof look more professional

To waste time

To visualize the problem and understand the relationships between geometric figures

To confuse the reader

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the purpose of the Linear Pair Postulate in geometry?

To justify the statement that angles that form linear pairs are complementary

To find the graph of an equation

To prove the third angle Theorem

To justify the statement that angles that form linear pairs are supplementary

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can you prove step #2?

Vertical angle theorem

Subtraction property of equality

Transitive property of congruence

Definition of supplementary angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can you prove step #4?

Vertical angle theorem

Subtraction property of equality

Transitive property of congruence

Definition of supplementary angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What reason justifies statement #2?

Definition of Midpoint

Transitive Property

Addition Property

Segment Addition Postulate

Substitution Property

Tags

CCSS.HSG.CO.C.10

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Geometric Theorems and Proofs

Why is it helpful to sketch a diagram when writing certain proofs?

What is the purpose of the Linear Pair Postulate in geometry?

How can you prove step #2?

How can you prove step #4?

Fill in the blanks to complete the geometric proof:

Fill in the blanks to complete the geometric proof:

What reason justifies statement #2?

What is the "reason" for step 5 of the proof?

How can you prove step #5?

Identify the missing statement or reason

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