Geometric Reasoning

1. What can you find? A B C D 52° LINES TRIANGLES PARALLEL LINES CIRCLES POLYGONS

2. What can you find? A B C D E F G 66o ABE = CBF AD EG LINES TRIANGLES PARALLEL LINES CIRCLES POLYGONS

3. What can you find? P Q O 68 S R LINES TRIANGLES PARALLEL LINES CIRCLES POLYGONS

4. What can you find? G 135o Y F 52o X D A B LINES TRIANGLES PARALLEL CIRCLES POLYGONS

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

6. What can you find? A x K F E B J G H C D LINES TRIANGLES PARALLEL CIRCLES POLYGONS

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 2 3 4 5 6

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 1 2 3 4 5 6 OR

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

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 2 3 4 5 6

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 1 2 IRREGULAR SHAPES: REGULAR SHAPES: 3 4 5 6 IRREGULAR SHAPES: REGULAR SHAPES: