In this lesson, we will learn how to use a series of transformations to prove that two shapes are similar.
Q1:
The figure shows two triangles: π΄π΅πΆ and π΄π΅πΆοοο.
Describe the single transformation that would map π΄π΅πΆ onto π΄β²π΅β²πΆβ².
Hence, determine whether triangles π΄π΅πΆ and π΄β²π΅β²πΆβ² are similar.
Q2:
Triangle π΄π΅πΆ has been dilated from point π· to triangle π΄π΅πΆοοο and, hence, the two triangles must be similar.
What is the scale factor of the dilation?
Q3:
The triangle π΄π΅πΆ has been transformed onto triangle π΄β²π΅β²πΆβ² which has then been transformed onto triangle π΄β²β²π΅β²β²πΆβ²β².
Describe the single transformation that maps π΄π΅πΆ onto π΄β²π΅β²πΆβ².
Describe the single transformation that maps π΄β²π΅β²πΆβ² onto π΄β²β²π΅β²β²πΆβ²β².
Hence, are triangles π΄π΅πΆ and π΄β²β²π΅β²β²πΆβ²β² similar?
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