Finding Area through Similarity and Congruence in Geometry

What type of triangle is ACE?

• Right

• Equilateral

• Isosceles

• Scalene

What is the length of segment CG?

• 6

• 18

• 24

• 12

Which two segments are congruent according to the given information?

• AC and CE

• GF and FE

• BH and DF

• CG and DF

What is the length of segment GF?

• 12

• 6

• 24

• 18

What is the ratio of FE to GE?

• 1/2

• 1/3

• 3/4

• 2/3

What is the length of segment DF?

• 6

• 24

• 8

• 12

Which triangles are congruent by angle-angle-side postulate?

• ABH and CGE

• ACG and BDF

• AHB and EFD

• CGH and DFE

What is the length of segment HG?

• 6

• 18

• 12

• 8

What is the total length of the base of triangle ACE?

• 24

• 42

• 30

• 36

What is the area of the shaded region CBHFD?

• 432

• 48

• 384

• 24