”Įquation of a perpendicular line bisector is given below. X 1, y 1 are midpoint of the co-ordinates.
TRIANGLE SUM Q2 ANSWER GSP5 HOW TO
How to find equation of perpendicular bisector?įind the perpendicular bisector equation of line with the points (6, 7), (4, 3).
#GSP5 CONSTRUCTING A PERPENDICULAR BISECTOR ANSWERS HOW TO# Midpoint coordinates (x 1, y 2) = (5, 5) Step 2: Find the midpoint using the given points. Step 4:Take the negative reciprocal of slope. Geometer’s Sketchpad Resources Effective Teaching Strategies Key Curriculum Press Website for Educators Workshop Guide with Step-by-Step Instructions Sample Activities Key Curriculum Press (some are free) Mathbits Library of Resources from the Math Forum The New Geometry Strands New York State Virtual Learning System Jefferson Math Project Resources Geometry Strands PDF HTML XLS Step 5: Place the values in perpendicular bisector equation.Geometer’s Sketchpad and the New Geometry Strands By: David M. Geometer’s Sketchpad Resources 2008 NCTM Presentations Archived Presentations Many more activitiesĮxploring Constructions with Geometer’s Sketchpad G.PS.4c, G.PS.7d, G.RP.5a, G.RP.7a, G.G.28b Use a straightedge to draw a segment and label it AB. Then construct the perpendicular bisector of segment AB by following the procedure outlined below: Step 1: With the compass point at A, draw a large arc with a radius greater than ❚B but less than the length of AB so that the arc intersects AB. Step 2: With the compass point at B, draw a large arc with the same radius as in step 1 so that the arc intersects the arc drawn in step 1 twice, once above AB and once below AB. Label the intersections of the two arcs C and D. Write a proof that segment CD is the perpendicular bisector of segment AB. Įxploring Constructions with Geometer’s Sketchpad G.PS.4b, G.CM.5d, G.G.17a, G.G.28a Use a straightedge to draw an angle and label it ∠ABC. Then construct the bisector of ∠ABC by following the procedure outlined below: Step 1: With the compass point at B, draw an arc that intersects BA and BC. Label the intersection points D and E respectively.
Step 2: With the compass point at D and then at E, draw two arcs with the same radius that intersect in the interior of ∠ABC. Write a proof that ray BF bisects ∠ABC.Įxploring Constructions with Geometer’s Sketchpad G.G.20a Construct an equilateral triangle with sides of length b and justify your work.Įxploring Constructions with Geometer’s Sketchpad G.RP.3e, G.RP.5c, G.CM.5e Construct an angle of 300 and justify your construction.Įxploring Constructions with Geometer’s Sketchpad G.R.1b, G.R.3a, G.R.5a, G.G.30a Using a dynamic geometry system draw ΔABC similar to the one below.
Drag a vertex and make a conjecture about the sum of the interior angles of a triangle. Extend this investigation by overlaying a line on side AC. Measure the exterior angle at C and the sum of the interior angles at A and B. Justify your conjectures.Įxploring Constructions with Geometer’s Sketchpad G.G.43bĮxploring Constructions with Geometer’s SketchpadĮxploring Constructions with Geometer’s Sketchpad G.PS.2d, G.CM.1c, G.G.21a Using dynamic geometry software, locate the circumcenter, incenter, orthocenter, and centroid of a given triangle. #GSP5 CONSTRUCTING A PERPENDICULAR BISECTOR ANSWERS HOW TO#.
TRIANGLE SUM Q2 ANSWER GSP5 DOWNLOAD
\(\angle ^\circ \)īelow you can download some free math worksheets and practice. This rule is very helpful in finding missing angles in a triangle.Īll three angles have to add to 180°, so we have: These inside angles always add up to 180°. In any triangle, there are always three interior angles.
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