1. Geometric Reasoning

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

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

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

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

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

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

8. 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 1 5 4 3 2 6

9. 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 1 5 4 3 2 6

10. Parallel Lines (and what to look for…) Corresponding angles F Alternate angles Z Co-interior angles C 1 5 4 3 2 6

11. 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 1 5 4 3 2 6

12. 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: 1 5 4 3 2 6