Question #1
In the following graph we observe line segment AB being mapped by translation to line segment A'B'.
A. In two or more sentences, explain what test you could perform to check the validity of this translation.
B. Prove mathematically that the translation is valid using the test you mentioned above.
Question #2
Triangle ABC is translated onto its image, triangle A'B'C'. Use the given vertices of the triangles to answer parts A and B.
A(-6, 0) B(-1, 0) C(-5, 3)
A'(-2, 4) B'(3, 4) C'(-1, 7)
Part A: Use the distance formula to prove that the translation was an isometric transformation. Include all of your work in your final answer.
Part B: Use complete sentences to describe the translation that maps triangle ABC onto its image.
Question #3
Which of the following is a validation of congruency between two polygons?
if by applying only rotation you can make them coincide
if by applying only translation you can make them coincide
if by applying rigid motions you can make them coincide
if by applying dilation you can make them equal
Question #4
What translation was used on ABCD to produce A'B'C'D'?
(x, y)→(x + 4, y + 3)
(x, y)→(x - 4, y + 3)
(x, y)→(x + 4, y - 3)
(x, y)→(x - 3, y + 4)
Question #5
What are the coordinates of the image of triangle ABC after it is translated (x, y ) → (x + 2, y - 4)?
Question #6
Figure ABCD was translated and resulted in image A'B'C'D'.
Compute and compare the side lengths of the two figures. Does this support an argument claiming that they are congruent? What else must be true to say two polygons are congruent?
Question #7
Choose the option that best completes the statement.
Following a translation, the measures of the angles in a pre-image___.
are in the opposite orientation of the corresponding angles in its image.
are congruent to the measures of the corresponding angles in its image.
are larger or smaller based on the scale factor used of the corresponding angles in its image.
are at the same angle displacement about a given point.