Please Help 3. What is the length of TI? 4. Find the value of x.
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Answer:
We know that there are four types of rigid transformations namely Dilation, Translation, Reflection and Rotation.
Now, Dilation is the transformation that changes the size of the figure by some scale factor i.e. it is the transformation that increases or decreases the size of the given figure.
We can see in the first figure that the triangle ABC is dilated ( increased by some scale factor ) to form A'B'C'.
Further, Translation is the transformation that slides the figure horizontally or vertically to a fixed distance.
The second figure shows the change of position of the solid ABCD to the position of A'B'C'D'.
Now, Reflection is the transformation that flips the image about a straight line.
During reflection, the size of the figure remains same but the it goes to the opposite side of the line.
We can see from the third figure the reflection of ABC about the y-axis to form A'B'C'.
Finally, Rotation is the transformation that turns the image about a fixed point called the center of rotation to a certain degree.
So, in the last figure, we see that the image A is rotated about the center of rotation by 120° to form A'.
Hence, we see that Dilation is different from the other transformations.
