Geometry 2.2 Notes

Geometry Section 2.2

​Biconditionals and Good Definitions

Open Ended

Write the converse of the statement:

If an angle measures 90 degrees then it is a right angle.

Multiple Choice

Is the statement true?

If an angle measures 90 degrees then it is a right angle.

• true

• false

Multiple Choice

Is the converse of the statement true?

If an angle measures 90 degrees then it is a right angle.

• true

• false

Multiple Choice

Which statement below is the biconditional?

If an angle measures 90 degrees then it is a right angle.

• An angle measures 90 degrees if it is a right angle.

• An angle measures 90 degrees if and only if it is a right angle.

• If an angle is a right angle then it measures 90 degrees.

• If an angle is not a right angle then it does not measure 90 degrees.

Open Ended

Is the converse true? If so write the statement as a biconditional.

If an angle is bisected then the angle is cut into two equal angles.

Open Ended

Write the original conditional statement:

A whole number is evenly divisible by 10 if and only if the number ends in a 0.

How to write a good definition

Multiple Select

Why is this a bad definition?

An airplane is a big vehicle that flies.

• It is not reversible

• It uses terms that are not clearly defined.

• It is not precise.

• It is a good definition.

Multiple Select

Why is this a bad definition?

A triangle is a shape that has sharp corners.

• It is not reversible.

• It uses terms that are not clearly defined.

• It is not precise

• it is a good definition.

Open Ended

Why is this a bad definition?

A square is a shape that has 4 right angles.

Labelling

Label the hypothesis and conclusion

Drag labels to their correct position on the image

hypothesis

conclusion

Reorder

Reorder the following to create the converse of the statement

If I eat snacks then I am home.

• If

• I am home

• then

• I eat snacks

1

2

3

4

• 1
• 2
• 3
• 4

Formative Practice 2.2 in Google classroom

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​Homework