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Congruency, SMB-015

The two triangles below are congruent.

  1. Which congruency test would be used to prove the two triangles above are congruent?   (1 mark)

  2. Find the values of  and .  (2 marks)

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i.   
 

ii.   

Congruency, SMB-009

 

The diagram shows a right-angled triangle with . The point is the midpoint of , and is the point where the perpendicular to at meets .

Show that .  (2 marks)

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Plane Geometry, 2UA 2018 HSC 12c

The diagram shows the square . The point is chosen on and the point is chosen on so that  .
 

  1. Prove that is congruent to .   (2 marks)

  2. The side length of the square is 14 cm and has length 4 cm. Find the area of  .   (2 marks)

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i.   

 

ii.