Transformations, Congruence, and Similarity

Translations

100

If a figure has coordinates A (-2, -6), B (-1, -3) and C (0, -6), what would the new coordinates be if it was translated 2 units right and 4 units down

What is A’ (0, -10), B’ (1, -7), and C’ (2, -10)?

200

A triangle has coordinates A (-3, -2), B (-2, 2) and C (0, 2). If the triangle is translated 3 units up and 5 units left, what would the new coordinates be

What is A' (-8, 1), B' (-7, 5), and C' (-5, 5)?

300

Triangle HIJ had coordinates H (3, -2), I (4, -3) and J (6, 3). It was translated to a new position with coordinates H’ (5, -7), I’ (6, -8) and J’ (8,-2). What is the rule that was used to translate the figure

What is 2 units rights and 5 units down?

400

A triangle has coordinates A (-4, -3), B (-2, 2) and C (1, 4). If the triangle is translated 2 units up and 7 units left, what would the new coordinates be

What is A' (-11, -1), B' (-9, 4), and C' (-6, 6)?

500

Triangle HIJ had coordinates H (1, -1), I (1, -3) and J (4, -3). It was translated to a new position with coordinates H’ (-2, 3), I’ (-2, 1) and J’ (1, 1). What is the rule that was used to translate the figure

What is 3 units to the left and 4 units up?

Reflections

100

If a figure has coordinates A (-4, -2), B (-3, 1) and C (-2, -2), what would the new coordinates be if it was reflected across the y-axis

What is A’ (4, -2), B’ (3, 1), and C’ (2, -2)?

200

A figure has coordinates K(2, -4), L(3, -4), M(-5,6) and N(-3,6). If the figure was reflected across the x-axis, what would the new coordinates be

What is K' (2, 4), L' (3, 4), M' (-5, -6), and N' (-3, -6)?

300

Triangle HIJ had coordinates H (3, -2), I (4, -3) and J (6, 3). It was reflected to a new position with coordinates H’ (3, 2), I’ (4, 3) and J’ (6, -3). What is the rule that was used to reflect the figure

What is a reflection across the x-axis?

400

Triangle HIJ had coordinates H(1, -1), I(1, -3) and J(4, -3). It was reflected to a new position with coordinates H’ (-1, -1), I’(-1, -3) and J’(-4, -3). What is the rule that was used to reflect the figure

What is a reflection across the y-axis?

500

Identify the combined transformations from the original to the final image. Original Triangle ABC: A (-1, -2), B (-3, -4), C (-3, -2) First image Triangle A’B’C’: A’ (1, -2), B’ (3, -4), C’ (3, -2) Final image Triangle A’’B’’C’’: A’’ (2, -4), B’’ (6, -8), C’’ (6, -4)

What is reflected over the y-axis followed by a dilation of 2?

Rotations

100

If a figure has coordinates E (2, -4), F (-1, 3) and G (2, -2), what would the new coordinates be if it was rotated 90⁰ clockwise around the origin

What is E’ (-4, -2), F’ (3, 1), and G’ (-2, -2)?

200

Explain the difference in reflections and rotations.

What is reflections are a congruent flip and rotations are a congruent turn?

300

A quadrilateral has coordinates D (1, -3), E (1, 1), F (3, 1), and G (-3, -3). If the quadrilateral was rotated 180° and formed rectangle STUV, what are the new coordinates

What is S (-1, 3), T (-1, -1), U (-3, -1), and V (3, 3)?

400

A quadrilateral has coordinates D (1, -3), E (1, 1), F (3, 1) and G (-3, -3). If the quadrilateral was rotated 90 degrees clockwise, what would the new coordinates be

What is D' (-3, -1), E' (1, -1), F' (1, -3), and G' (-3, 3)?

500

A trapezoid has vertices Q (-2, 5), R (3, 5), S (6, 1), and T (-2, 1). After transformation, the coordinates of the image are Q’ (-5, -2), R’ (-5, 3), S’ (-1, 6), and T’ (-1, -2). Describe the transformation.

What is 90° counterclockwise or 270° clockwise?

Dilations

100

If a figure has coordinates A (-6, -12), B (-4, 4) and C (-6, -10), what would the new coordinates be if the figure was dilated by 1/2

What is A’ (-3, -6), B’ (-2, 2), and C’ (-3, -5)?

200

Corresponding angles are congruent and corresponding sides are proportional are ____________________.

What is similar?

300

You have two similar triangles. Triangle MNK has the following side lengths: MN = 2 units, NK = 5 units and MK = 3 units. Triangle MNK has been dilated to get Triangle M’N’K’. If you know that the length of M’N’ = 10 units, what are the lengths of N’K’ and M’K’

What is 25 units and 15 units because the scale factor is 5?

400

If a figure has coordinates S (-4, -2), T (-3, 1) and U (-2, -2), what would the new coordinates be if it was dilated by 3

What is S’ (-12, -6), T’ (-9, 3), and U’ (-6, -6)?

500

Which one of the following transformations will result in figures that are similar but not congruent

What is dilation?

Miscellaneous

100

What letter represents "scale factor"?

What is k?

200

What does Dr. Nuzzolillo have her Doctorate in?

What is education?

300

How many bones are in an adult human body?

What is 206?

400

What is the state capital of CT?

What is Hartford?

500

What is the square root of 49?

What is 7?