TGT Angles

Hearts

Q1.

Geometry is based on work by…

Euclid

  Pythagoras  Archimedes  Newton

Q2.

Which of these is correct notation for a ray?

  1. AB
 [AB]  [AB  |AB|

Q3.

If three points are on the same line, the points are said to be…

  1. Collinear
 Parallel  Perpendicular  None of these

Q4.

An angle between 90° and 180° is called…

  1. reflex
 acute  obtuse  right

Q5.

Two angles that add up to 180° are called…

  1. reflex
 alternate  corresponding  
  1. supplementary

Q6.

Angles are measured using a…

  1. Ruler
 Set-square  Protractor  Compass

 

Spades

In the following diagram,  

Q1.

The ∠a and the ∠e are equal because they are…

  1. Corresponding
 Opposite c) Alternate d) Supplementary

Q2.

 The ∠c and the ∠e are equal because they are…

  1. Corresponding
 Opposite c) Alternate d) Supplementary

Q3.

 The ∠f and the ∠h are equal because they are…

  1. Corresponding
 Opposite c) Alternate d) Supplementary

Q4.

 The ∠g is not equal to which of these angles…

  1. ∠ e 
 ∠a  ∠c  ∠f

Q5.

 Which of these are interior angles?

  1. ∠e & ∠f
 ∠e & ∠g  ∠e & ∠d  ∠e & ∠a

Q6.  

If ∠d is equal to 60°, then ∠a equals…

  1. 60°
 180°  240°  120°

 

Diamonds

Q1.

Calculate the value of ∠a

 

Q2.

Calculate the value of ∠b

 

Q3.

Calculate the value of ∠c

 

Q4.

Calculate the value of ∠d

 

Q5.

Calculate the value of ∠e

 

Q6.

Explain why a triangle can never have a reflex angle.

 

Clubs

Q1.

What type of triangle is ∆ABD

  1. Scalene
  2. Right-angled
  c) Equilateral d) isosceles

Q2.

 What type of triangle is ∆BDC

  1. Scalene
  2. Right-angled
  c) Equilateral d) isosceles

Q3.

What is the measure of the angle ∠BCD

 

Q4.

Name another angle equal in measure to ∠BAD

 

Q5.

Calculate the size of the angle ∠ADB

 

Q6.  

Explain why ∠ADC is not a straight angle °?

 

 

     Answers    
Hearts Spades Diamonds Clubs
1 A 1 A 1 78° – Add to 180° 1 D
2 C 2 C 2 42° – alternate 2 C
3 A 3 B 3 60° – alternate 3 60°
4 C 4 D 4 102° – opposite angle 4 Abd
5 D 5 C 5 78° – opposite angle 5 124°
6 C 6 D 6 Reflex angle is greater than 180°, triangle can only be 180°. 6 124° + 60° = 184° straight angle must be 180°
     Answers    
Hearts Spades Diamonds Clubs
1 A 1 A 1 78° – Add to 180° 1 D
2 C 2 C 2 42° – alternate 2 C
3 A 3 B 3 60° – alternate 3 60°
4 C 4 D 4 102° – opposite angle 4 Abd
5 D 5 C 5 78° – opposite angle 5 124°
6 C 6 D 6 Reflex angle is greater than 180°, triangle can only be 180°. 6 124° + 60° = 184° straight angle must be 180°
     Answers    
Hearts Spades Diamonds Clubs
1 A 1 A 1 78° – Add to 180° 1 D
2 C 2 C 2 42° – alternate 2 C
3 A 3 B 3 60° – alternate 3 60°
4 C 4 D 4 102° – opposite angle 4 Abd
5 D 5 C 5 78° – opposite angle 5 124°
6 C 6 D 6 Reflex angle is greater than 180°, triangle can only be 180°. 6 124° + 60° = 184° straight angle must be 180°