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.

Fill in the Blanks

Write the converse of the following statement:

If x = 5 then the 2x = 10.

If​ ​ ​

then​

Multiple Choice

True or False:

If an angle measures 45 degrees then the angle is an acute angle.

• True

• False

Multiple Choice

Write the converse in your notes: Is the converse true or false?

If an angle measures 45 degrees then the angle is an acute angle.

• True

• False

Multiple Choice

Is the statement true?

If an angle measures 90 degrees then itis 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.

Labeling

Label the hypothesis and conclusion

Drag labels to their correct position on the image

conclusion

hypothesis

Fill in the Blanks

Complete the biconditional statement.

An angle is a straight angle​

the angle measures 180 degrees.

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