Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)

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Presentation transcript:

Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)

Today’s Objective SWBAT use the Distance formula in order to find the length of a segment Homework: Pg 19 #17-33 odd

Find the Midpoint The endpoints of RS are R(0,4) and S(4,3). Find the midpoint M of RS. The midpoint of JK is M(1,4). One endpoint is J(5,1). Find the endpoint K.

Homework Questions

To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd Anticipatory Set Midpoint Formula Questions Distance Formula Closure

Anticipatory Set What is the Pythagorean Theorem?

To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions Distance Formula Closure

To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions √ Distance Formula Closure

Distance Formula The distance formula for finding the length between 2 points is:

Find the distance between 2 points, round to the nearest tenth of a unit P(1,2) and Q(5,4) Q(-3,5) and R(2,3)

SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.

EXAMPLE 4 Standardized Test Practice Distance Formula Substitute. Subtract. Evaluate powers. Add. Use a calculator to approximate the square root. (x – x ) + (y – y ) RS= [(4 – 2)] + [(–1) –3] 22 = (2) + (–4 ) 22 = 4+16 = 20 = 4.47 = The correct answer is C. ANSWER

GUIDED PRACTICE for Example 4 5. In Example 4, does it matter which ordered pair you choose to substitute for (x, y ) and which ordered pair you choose to substitute for (x, y ) ? Explain No, when squaring the difference in the coordinate you get the same answer as long as you choose the x and y value from the some period ANSWER

GUIDED PRACTICE for Example 4 6. What is the approximate length of AB, with endpoints A(–3, 2) and B(1, –4)? 6.1 units 7.2 units 8.5 units 10.0 units Distance Formula Substitute. Subtract. (x – x ) + (y – y ) AB = [2 –(–3)] + (–4 –1) 2 2 = (5) + (5 ) 22 = Use the Distance Formula. You may find it helpful to draw a diagram. SOLUTION

GUIDED PRACTICE for Example 4 Evaluate powers. Add. Use a calculator to approximate the square root = 50 = 7.2 = The correct answer is BANSWER

To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions √ Distance Formula √ Closure

Let’s Review the Vocabulary M is the midpoint of VW. Find the length of VM. M W V 4x-13x+3