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Geometric Reasoning

Geometric Reasoning. A. Applying Past Knowledge. 52°. D. B. C. 1. What can you find?. LINES. TRIANGLES. PARALLEL LINES. CIRCLES. POLYGONS. Thinking Flexibly. B. A. D. C. 66o. E. G. F. 2. What can you find?. ABE = CBF AD EG. LINES. TRIANGLES. PARALLEL LINES.

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Geometric Reasoning

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  1. Geometric Reasoning

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

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

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

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

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

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

  8. Angles on a straight line = 180 Straight Lines Angles at a point = 360 Vertices Vertically Opposite angles are equal Intersection of two straight lines Lines (and what to look for…) 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 REGULAR SHAPES: IRREGULAR SHAPES: 3 4 5 6 REGULAR SHAPES: IRREGULAR SHAPES:

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