Direct proportion
Angles
100


What fraction of the squares are red?

9:16

100

The angle 88° is:

Acute

200



Maggie and her little sister Minnie are in proportion.

What is Minnie's height?

The proportions are equal, so

So Minnie is 24 cm tall

200


Which is closest to the size of angle COD?


Starting from 0, and measuring in the direction of the arrow, angle COD = 131°


 

300



The two guitars are in proportion.

What is the length of the fretboard of the larger guitar?

The lengths must be in the same unit, so change 1 m to 100 cm.

The proportions are equal, so

So the length of fretboard for the larger guitar is 40 cm.

300

If two angles are complementary and one of them is 77°, what is the size of the other angle?

Complementary angles add to 90°
Therefore, the other angle = 90° - 77° = 13°


 

400



The two triangles are in proportion - they are similar triangles.

What is the value of b?

The proportions are equal, so

400

 

 


27° + 63° = 90°

500



The two glasses are in proportion.

What is the width of the larger glass?

The proportions are equal, so

So the width of the larger glass is 3 inches


 

500


Which is closest to the size of reflex angle FOE?


Reflex Angle FOE can be split into two:
. Angle FOE = Angle FOG + Angle GOE
. Angle FOG is a straight angle = 180°

To find Angle GOE, start at 0 and measure in the direction of the arrow
Angle GOE = 74°

So Reflex Angle FOE = Angle FOG + Angle GOE = 180° + 74° = 254°


 

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