What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25),...

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2.4 - Classifying Figures on a Coordinate Grid What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle Rhombus Square Trapezoid Just guess!

Transcript of What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25),...

Page 1: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

2.4 - Classifying Figures on a Coordinate GridWhat shape do you think this is? The corners have coordinates:P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10)

Rectangle Rhombus Square Trapezoid

Just guess!

Page 2: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

Example #1A triangle has vertices at A(-1, -1), B(2, 0) and C(1, 3). What type of triangle is it? Justify your decision.

Right Isosceles Equilateral Scalene

Page 3: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

Example #1 cont’d

A (-1, -1)

C (1, 3)

B (2, 0)

Page 4: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

Example #1 cont’dAB =

BC =

AB and BC are the same length; Triangle ABC is Isosceles.

Page 5: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

Example #1 cont’dSlope =

mAB = =

mBC = =

The slopes of AB and BC are negative reciprocals, so AB is perpendicular to BC. This means that triangle ABC is a right isosceles triangle.

Page 6: What shape do you think this is? The corners have coordinates: P (-5, -5), Q (-30, 10), R (-5, 25), S (20, 10) Rectangle RhombusSquare Trapezoid Just guess!

In Summary…• To solve a problem that involves a geometric figure, it is a

good idea to start by drawing a diagram of the situation on a coordinate grid

• Parallel lines have the same slope• Perpendicular lines have slopes that are negative

reciprocals