What is the if-then statement that follows by the Law of Syllogism? If the perimeter of a square is 20 ft, then the length of a side is 5 ft. If the length of a side of a square is 5 ft, then the area is 25 ft 2 .

If the perimeter of a square is 20 ft, then the area is 25 ft 2

If the side of a square is 5 ft, then the perimeter is 20 ft.

If the area of a square is 25 ft 2 , then the side length is 5 ft.

If the are of a square is 25 ft 2 , then the perimeter is 20 ft.

The next term will have 15 blocks.

The next term will have 16 blocks

The next term will have 14 blocks.

This is the end of the pattern.

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

The measures of the angles are equal.

Then the measures of the angles are equal.

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.

Is this statement true?

False. There are empty chairs here.

True. Class can't happen if a chair isn't occupied.

True. There are no chairs here, so the hypothesis is true.

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

True. There is no counterexample.

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

If you miss the bus, then you will be late to school

If you are late to school, then you will miss the bus.

If you sleep late, then you don't have to go to school.

If you miss the bus, then you'll have to walk and be late.

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

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

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

Which of the following is the inverse to the statement: "If you exercise, then you will lose weight."

If you don't lose weight, then you don't exercise

.If you don't exercise, then you will not lose weight.

If you lose weight, then you exercise.

If you don't lose weight, then you did not diet.

Draw a conclusion from the statement. If a whole number is even, then its square is divisible by 4. The number I am thinking of is an even number.

Then its square is divisible by 4

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

If you do not have a healthy body, then you do not exercise regularly

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, therefore

the big test will not be given today.

look out for the snowplows while driving to school.

the roads will be hard to drive on.

you should call the school to see if school is canceled.

What is the missing statement in the proof?

none of the other choices are correct

If 5(x - 2) = 20, then 5x - 10 = 20.

Distributive Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

If AC ⟂ BD, then ∠DBC is a right angle.

Definition of Perpendicular Lines

Savvas Geometry

9th - 12th Grade

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52 Qs

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9th - 12th Grade

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Practice Problem

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Hard

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CCSS

7.G.B.5, HSG.GPE.B.6, RL.11-12.1

+33

Standards-aligned

Barbara White

FREE Resource

52 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve

50°

58°

115°

226°

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve

134°

78°

182°

178°

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x

x = 2

x = 4

x = 6

x = 8

Tags

CCSS.4.MD.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

Tags

CCSS.HSG.GPE.B.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Bisector

A point, line or line segment that divides a segment or angle into two equal parts

A part of a line between two points on the line

A figure before a transformation has taken place

Tags

CCSS.4.G.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Ray EF bisects <TEA. Which is FALSE?

m<TEF = 87

m<TEA = 87

m<FEA = 43.5

m<TEF = m<FEA

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the distance between (2, -75) and (10, 235).

305.5

308.6

310.1

315.3

Tags

CCSS.HSG.GPE.B.7

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Savvas Geometry

52 questions

Solve

Solve

Solve for x

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

Bisector

Ray EF bisects <TEA. Which is FALSE?

Find the distance between (2, -75) and (10, 235).

What is the midpoint between (3, -1) and (7, -5)

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

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Popular Resources on Wayground

Discover more resources for Mathematics

Savvas Geometry

52 questions

Solve

Solve

Solve for x

Q is the midpoint of PR. PQ = 6x – 7 and QR = 5x + 1.Find the length of PR.

Bisector

Ray EF bisects <TEA. Which is FALSE?

Find the distance between (2, -75) and (10, 235).

What is the midpoint between (3, -1) and (7, -5)

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.