Is the inverse of this true?

Its true. If two angles are not supplementary, then they do not add up to 180 degrees.

Its false. If angles don't add up to 180, they can still be supplementary.

Its false. Supplementary angles add up to 90 degrees.

Its true. Supplementary angles can add up to less than 180 degrees.

Write a definition of congruent angles as a biconditional statement.

Angles are congruent if and only if they have the same size and shape.

Angles are congruent if they have the same size and shape.

If angles are congruent, then they have the same size and shape.

Write a definition of a right angle as a biconditional statement. Choose all that apply.

An angle is a right angle if and only if it has a measure of 90 degrees.

An angle has a measure of 90 degrees if and only if it is a right angle.

If an angle is a right angle, then it has a measure of 90 degrees.

Select the conditional statement(s) of the biconditional statement. Points are collinear if and only if they all lie in one line.

If points all lie in one line, then they are collinear.

If points are collinear, then they all lie in one line.

If collinear points lie in one line, then they are a line.

Collinear points lie in one line.

When can a biconditional statement be true?

When the original statement (conditional statement) and the converse are both true.

When the inverse and the converse are both true

When the original statement (conditional statement) & the contrapositive are both true.

Inductive Reasoning means...

Testing and observing patterns to make conjectures

Guessing without any information

Drawing conclusions from situations based on facts and definitions

Sounding knowledgeable even when you are not

Deductive reasoning means...

Drawing conclusions from situations based on facts and definitions

Guessing without any information

Sounding knowledgeable even when you are not

Testing and observing patterns to make conjectures

Which is a valid conclusion from these statements? If a quadrilateral is a rhombus, then it is a parallelogram. If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Opposite angles of a rhombus are congruent

Opposite angles of a quadrilateral are congruent

Every quadrilateral is a rhombus

Every parallelogram is a rhombus

Use Law of Syllogism to make a conclusion. If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

Using the picture above, identify the last three steps to complete the proof.

a. Combine Like Terms, b. Subtraction Prop., c. Division Prop.

a. Combine Like Terms, b. Addition Prop., c. Division Prop.

a. Substitution Prop, b. Subtraction Prop., c. Division Prop.

a. Substitution Prop., b. Subtraction Prop., c. Multiplication Prop.

Using the picture above, identify the last three steps to complete the proof.

a. Distributive Prop., b. Subtraction Prop., c. Division Prop.

a. Distributive Prop., b. Addition Prop., c. Division Prop.

a. Multiplication Prop, b. Subtraction Prop., c. Division Prop.

a. Substitution Prop., b. Subtraction Prop., c. Multiplication Prop.

Using the picture above, identify the last three steps to complete the proof.

a. Subtraction Prop., b. Subtraction Prop., c. Division Prop.

a. Combine Like Terms., b. Addition Prop., c. Division Prop.

a. Combine Like Terms, b. Subtraction Prop., c. Division Prop.

a. Subtraction Prop., b. Subtraction Prop., c. Multiplication Prop.

Geo Midterm Unit 2 Review

Authored by Jennifer Mallory

Mathematics

8th - 11th Grade

CCSS covered

Used 6+ times

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30 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

If the angles are congruent.

The angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

If the measures of the angles are equal, then the angles are congruent.

"If angles are not congruent, then the measures of the angles are not equal."

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

If angles are congruent.

Angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If something is an angle, then it is acute. What is an appropriate counterexample?

70⁰

45⁰

120⁰

True. There is no counterexample.

Tags

CCSS.4.G.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

If the measures of the angles are equal, then the angles are congruent.

"If angles are not congruent, then the measures of the angles are not equal."

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If two lines in the same plane are parallel, then they will not intersect.
Is the converse to this true?

Its false. Parallel lines intersect.

True -- Parallel lines will not intersect.

False.

What are parallel lines?

Tags

CCSS.HSG.CO.A.1

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Geo Midterm Unit 2 Review

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

If something is an angle, then it is acute. What is an appropriate counterexample?

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

If two lines in the same plane are parallel, then they will not intersect.Is the converse to this true?

Is the inverse of this true?

True or False: a counterexample is an example that makes a conjecture invalid

Write a definition of congruent angles as a biconditional statement.

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If two lines in the same plane are parallel, then they will not intersect.
Is the converse to this true?