Mathematics
Grade9
Easy

Question

capital delta HGF tilde capital delta HTS satisfies which similarity criteria?

  1. SAS similarity criteria
  2. SSS similarity criteria
  3. AA similarity criteria
  4. AAA similarity criteria

hintHint:

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

The correct answer is: AA similarity criteria



    In triangle
HGF and triangle
HTS
    angleFGH = angleSTH = 61degree
    angleFHG = angleSHT ( Vertically opposite angles)
    Thus, by AA similarity criterion  capital delta HGF tilde capital delta HTS.

    angle S T H equals space angle F G H comma space angle T H S equals space angle G H F comma then by AA similarity criteria

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