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Geometric Reasoning Mahobe

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Page 1: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Geometric Reasoning

Mahobe

Page 2: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

The facts to learn

Page 3: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

• Angles in a triangle add up to 180o

Page 4: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

• Angles on a straight line add up to 180o

Page 5: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

• Angles around a point add up to 360o

Page 6: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 7: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 8: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 9: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

base ’s isos ∆ =∠

Page 10: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 11: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

∠ sum quad

• Interior angles of a quadrilateral sum to 360o

Page 12: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

opp ,∠ cyclic quad

• Opposite angles of a cyclic quadrilateral sum to 180o

Page 13: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Ext , of cyclic quad∠

• Exterior angle of a cyclic quad equals the opposite interior angle

Page 14: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

vert opp s =∠

• Vertically opposite angles are equal

Page 15: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

alt s // lines∠

• Alternate angles are equal if the lines are parallel

Page 16: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

corr s // lines∠

• Corresponding angles are equal if the lines are parallel

Page 17: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Co-int s // lines∠

• Co-interior angles sum to 180o if the lines are parallel

Page 18: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

• Exterior angles of a polygon add up to 360o

Page 19: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

If the polygon is regular all exterior angles are the same size

• Exterior angles of a polygon add up to 360o

Page 20: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

ext regular pentagon∠

• Exterior angles of a regular pentagon is 72o

Page 21: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Interior angles of a polygon with n sides sum to 180(n-2)

Page 22: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find all the other angles in this figure

Page 23: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 24: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 25: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 26: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 27: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 28: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 29: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 30: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Vert opp angles

Page 31: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 32: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 33: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

A triangle formed with 2 radii is isosceles

Page 34: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 35: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 36: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 37: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

• The angle at the centre is twice the angle at the circumference.

Page 38: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

When writing angles use 3 letters. The middle letter is where the angle is.

Page 39: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find the angles u, v and wO Is the centre

Page 40: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O Is the centre

Page 41: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O Is the centre

Page 42: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O Is the centre

Page 43: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find angle d

Page 44: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 45: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 46: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate the size of angle ABC

Page 47: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 48: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 49: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 50: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 51: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 52: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate angle CDE

Page 53: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 54: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate the size of angle HIJ

Page 55: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 56: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate the size of angle c

Page 57: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

C = 96o,

• Co-int angle // lines• Corr angles // lines

• ORAngles on a lineOpp angles parallelogram

Page 58: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate the size of angle VUW

Page 59: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 60: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Shape P is a regular pentagon and shape H is a regular heptagon. Calculate the size of angle CBD

Page 61: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Shape P is a regular pentagon and shape H is a regular heptagon. Calculate the size of angle CBD

Page 62: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

The diagram gives the angles of a playground slide. Find angle XYZ.

Page 63: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 64: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find the size of angles NMO and OPN

Page 65: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find the size of angles NMO and OPN

Page 66: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Find the size of angles PRQ and PSQ

O

Page 67: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O

Page 68: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 69: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 70: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

XBC 90 Rad perp. tang

CBA 20 Angles on a line

CAB 20 Base angles isos triangle

XCB 40 Ext angle = sum opp int angles

CXB 50 Angle sum triangle

Page 71: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 72: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 73: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O Is the centre of the circle.Calculate the size of angle BCD

Page 74: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 75: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O Is the centre of the circle.Calculate the size of angle WYX

Page 76: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 77: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 78: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Similar triangles

Page 79: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

ABC is an isosceles triangle.O is the centre of the circle.

Calculate the size of angles BAC and ODC

Page 80: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 81: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 82: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

Calculate the size of angles x and y.

Page 83: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

.

Page 84: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O is the centre of the circle.Calculate the size of angle BAC.

Page 85: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

.

Page 86: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o
Page 87: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

KNML is cyclic as the opposite angles sum to 180.

Page 88: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

O is the centre of the circle.Prove angle CBY = angle CAB

Page 89: Geometric Reasoning Mahobe. The facts to learn Angles in a triangle add up to 180 o

angle CBY = angle CAB


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