1. Geometric Reasoning

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

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

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

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

6. 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

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

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 2 3 4 5 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 1 2 3 4 5 6 OR

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