Chapter 8 Similar Triangles

• A
• B
• C
• D

Use the diagram to identify the similar triangles and complete the proportion.

• AC

• DA

• BD

• CB

• A
• B
• C
• D

• A
• B
• C
• D

• 
• 
• 
• 

These two triangles are similar, why?

• AC and DE

  are parallel

• CE and BE

  are congruent

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

This result is known as _________ .

• B.P.T.

• Pythagoras theorem

• Criteria of similarity

• Theorem on areas of two similar triangles

In the given Fig. , DE || OQ and DF || OR. Then

• EF || QR

• OP || PQ

• DF || QR

• EF || OR

Are these two triangle similar ?

• yes , similar by S-S-S similarity criteria

• yes , similar by S-A-S similarity criteria

• No , not similar

• yes , similar by A-A-A similarity criteria

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time

a tower casts a shadow 28 m long. Find the height of the tower.

• 42 m

• 24 m

• 84 m

• 38 m