Midpoint and distance

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

HSG.GPE.B.6, HSG.GPE.B.7

Standards-aligned

Deb Scott

Used 221+ times

FREE Resource

6 Slides • 14 Questions

Midpoint and Distance Formulas

Find the midpoint of the points (-3,3) & (5,3).

To find the midpoint,

1. Plug in (-3) for X₁ and plug in (3) for Y₁.

2. Plug in (5) for X₂ and plug in (3) for Y₂.

3. Simplify your answer to find the coordinate that lies between the two points.

Find the midpoint of the points (-4,5) & (2,-3).

1. Plug in (-4) for X₁ and (5) for Y₁.

2. Plug in (2) for X₂ and (-3) for Y_2.

3. Simplify your answer to find the middle coordinate.

Multiple Choice

Which calculation would determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$

$\left(\frac{-2+6}{2},\frac{7+-5}{2}\right)$

$\left(\frac{-2+7}{2},\frac{6+-5}{2}\right)$

$\left(\frac{-2+-5}{2},\frac{7+6}{2}\right)$

$\left(-2+6,7+-5\right)$

Multiple Choice

Complete the question to determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$

$\left(2,1\right)$

$\left(\frac{5}{2},\frac{1}{2}\right)$

$\left(-\frac{7}{2},\frac{13}{2}\right)$

$\left(4,2\right)$

Multiple Choice

What formula is the midpoint formula?

Multiple Choice

The endpoints of segment CD are C (3, -5) and D (7, 9). Find the coordinates of the midpoint?

(3, 5)

(5, 2)

(6,8)

Multiple Choice

Find the midpoint of the segment with the following endpoints:

(-9, 2) & (-5, -6).

(-7, -2)

(2, -7)

(-9, -5)

(2, -6)

Finding an endpoint

Use the midpoint formula.
Substitute in values and solve for the variable.

Let's do the next question together

Multiple Choice

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(5, -6) and M(4,3).

(3, 12)

(6, 4)

(1, 2)

Multiple Choice

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(-3, 7) and M(-2,5).

(6, 8)

(-1, 3)

(2, -4)

Multiple Choice

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(-2, 9) and M(8, 0).

(-6, 0)

( 6, 9)

(18, -9)

Multiple Choice

What formula is the distance formula?

Find the distance between the points (0,0) and (6,8).

To find the distance:

1. Plug in (6) for X₂ and (0) for X₁.

2. Plug in (0) for Y₂ and (0) for Y₁.

3. Simplify your answer to find d.

Find the distance between the points (-3,2) and (3,5).

1. Plug in (3) for X₂ and (-3) for X₁.

2. Plug in (5) for Y₂ and (2) for Y₁.

3. Simplify your answer to find d.

Note: Sometimes you will have to split your square roots to find a simpler answer.

Multiple Choice

Find the distance between the following points:

(1,4) & (4,0)

Multiple Choice

Find the distance between the two points:

(-3,-1) & (-2,4).

$\sqrt{2}$

$\sqrt{10}$

$\sqrt{26}$

Multiple Choice

What is the distance between the two points?

$2\sqrt{10}$

$4\sqrt{10}$

$10\sqrt{2}$

Multiple Select

The Endpoints of RN are R(0,4) and N(-2,-3). Find the Distance

Choose 2

$\sqrt[]{8}$

7.28

$\sqrt[]{53}$

2.83

Multiple Choice

Find the distance between (3, 24) and (7, 56).

32.1

32.2

32.3

32.4

Midpoint and Distance Formulas

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