Sept 1st midpoint.

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Presentation transcript:

Sept 1st midpoint

Sept 1st Learning Target: construct using a compass In class: notes: vocabulary and construction HW: none Warmup: 1.Find the average of 8, 3, 7,9 2. Find the average of 3 and -9

Finding the midpoint 9/1 Midpoint: The point that is exactly in the middle of a segment Draw a segment Put pointer on endpoint, make an arc above and below. Repeat for other endpoint Use a straightedge to see where the connection of the “x” would intersect

Segment Bisector Segment bisector: a segment that cuts another segment in two equal pieces at the midpoint. Draw a line through the midpoint.

Perpendicular bisector Perpendicular bisector: A line/segment that cuts another segment into two equal pieces at a 90 degree angle through the midpoint. Connect the “x”s

Sept. 2nd Learning Target: Find the midpoint between two points on a Cartesian coordinate plane. In class: Midpoint notes, exit slip(?) HW: wks circled problems Warm up:

Midpoint 9/2 EXAMPLE: Find the midpoint of 𝐽𝐾 if J is on the number line at -4 and K is at 8. Its finding the average of the numbers

EX: Find the coordinate of the midpoint of 𝐺𝐻 for G( 7,-6) and H(-3, 2) Let’s sketch it: Use the formula: Midpoint =

Algebra What is the measure of 𝑃𝑅 if Q is the midpoint of 𝑃𝑅 ? 6-3x

Finding an endpoint EX: Find the coordinates of D if E(-6, 4) is the midpoint of 𝐷𝐹 and F has coordinates (-5,-3). Method 1: sketch it on graph paper…. Method 2: Use formula