Midpoint/Distance, & Conditional Statements

​Midpoint & Distance Formula

By Jonathan Duncan

Multiple Choice

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

• (-1, 7)

• (2, 7)

• (7, -1)

• (2, 2)

Multiple Choice

Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (15, 1).

$$E_1\left(5,-7\right)$$

$$M\left(15,1\right)$$

$$E_2\left(\ \ \ \ ,\ \ \ \ \ \right)$$

• (10, -3)

• (20,7)

• (25, 9)

• (30, 9)

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Multiple Choice

How is the distance formula correctly written:

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$$

• $$d\ =\ \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$$

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$$

• d = $$\sqrt{\left(x\right)^2-\ \left(y\right)^2}$$

Multiple Choice

What is the distance between (2,9) and (1,6)?

• $$\sqrt[]{10}$$

• $$\sqrt[]{17}$$

• $$\sqrt[]{15}$$

• $$3\sqrt[\ ]{2}$$

Multiple Choice

Original: If I have a Siberian Husky, then I have a dog.

What is this? If I have a dog, then I have a Siberian Husky.

• Conditional

• Converse

• Inverse

• Contrapositive

Multiple Choice

What is the inverse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Match

Match up each symbolic statement

• $$p\rightarrow q$$

• $$q\rightarrow p$$

• $$\sim p\rightarrow\sim q$$

• $$\sim q\rightarrow\sim p$$

• $$p\ \leftrightarrow\ q$$

Conditional statement

Converse statement

Inverse statement

Contrapositive statement

Biconditional statement

• Conditional statement

• Converse statement

• Inverse statement

• Contrapositive statement

• Biconditional statement