Geometric Reasoning. 1. What can you find? A BC D 52° LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES Applying Past Knowledge.

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Presentation transcript:

Geometric Reasoning

1. What can you find? A BC D 52° LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES Applying Past Knowledge

2. What can you find? A B C D E F G 66o LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES  ABE =  CBF AD  EG Thinking Flexibly

3. What can you find? P Q R S O 68  LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES

4. What can you find? A B D F G X Y 135o 52o LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES

5. What can you find? G H J K L N 214  b° LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES GHKL is congruent to JHLN

6. What can you find? xx A B E F G H J K C D LINESPOLYGONS PARALLEL LINES CIRCLESTRIANGLES Metacognition

Lines (and what to look for…) Angles on a straight line = 180  Straight Lines Angles at a point = 360  Vertices Vertically Opposite angles are equal Intersection of two straight lines

Triangles (and what to look for…) Angle sum of a triangle = 180  Triangle with two known angles Exterior Angle of a triangle Two internal angles of a triangle Isoceles triangle base angles One base angle in isos. Triangle Angle sum of an isosceles triangle One angle in isos. triangle OR

Parallel Lines (and what to look for…) Corresponding angles F Alternate angles Z Co-interior angles C

Circles (and what to look for…) Angles in a semi circle Triangle using diameter of circle Angles on the same arc 4 connected chords Angle at the centre 2 chords connected to 2 radii Isosceles triangle due to radii 2 radii forming a triangle Radius perpendicular to tangent Tangent to circle

Polygons (and what to look for…) Angle sum of exterior angles = 360  n-sided shapes with edges extended Angle sum of interior angles = n-sided shapes with interior angles IRREGULAR SHAPES: REGULAR SHAPES: IRREGULAR SHAPES: REGULAR SHAPES: