Warm Up Find the values of y by substituting x = 2, 3, 10 Y = 20x + 4 Y = 9(x+3)

Warm Up • Find the values of y by substituting x = 2, 3, 10 • Y = 20x + 4 • Y = 9(x+3)

Today’s Objective • SWBAT use the midpoint formula in order to find the midpoint of a segment. • Homework: Pg 61 #9-19 Odd (15-19 odd just find the midpoint)

To identify basic shapes and figures in Geometry • Warm Up√ • Homework: Pg 61 #9-19 Odd • Anticipatory Set • Vocabulary • Midpoint Formula • Distance Formula • Closure

Homework

To identify basic shapes and figures in Geometry • Warm Up√ • Homework: Pg 61 #9-19 Odd√ • Anticipatory Set • Vocabulary • Midpoint Formula • Distance Formula • Closure

Anticipatory Set • Fold a segment bisector activity • Draw AB on a piece of paper, fold the paper so Point B is on top of Point A • The point where the crease intersects the line is the mid-point • Label this point M • What do we notice when we compare AM to MB?

To identify basic shapes and figures in Geometry • Warm Up√ • Homework: Pg 61 #9-19 Odd√ • Anticipatory Set √ • Vocabulary • Midpoint Formula • Distance Formula • Closure

Vocabulary • Midpoint • Segment Bisector

E F G These tick marks signify that both of these segments are congruent Midpoint • The point that divides a segment into 2 congruent segments.

E F E G G E G Segment Bisector • A point, ray, line, line segment, or plane, that intersects the segment at its midpoint. E G

To identify basic shapes and figures in Geometry • Warm Up√ • Homework: Pg 61 #9-19 Odd√ • Anticipatory Set √ • Vocabulary √ • Midpoint Formula • Distance Formula • Closure

Midpoint Formula • The coordinates of the midpoint of a segment are the averages of thex-coordinates and the y-coordinates

Find the Midpoint • The endpoints of RS are R(1, -3) and S(4,2). Find the midpoint M of RS. • The midpoint of JK is M(2,1). One endpoint is J(1,4). Find the endpoint K.

To identify basic shapes and figures in Geometry • Warm Up√ • Homework: Pg 61 #9-19 Odd√ • Anticipatory Set √ • Vocabulary √ • Midpoint Formula √ • 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)

Let’s Review the Vocabulary • M is the midpoint of VW. Find the length of VM. 4x-1 3x+3 V M W

Warm Up Find the values of y by substituting x = 2, 3, 10 Y = 20x + 4 Y = 9(x+3)