Geometric Transformations: Part 2 Unit Test 92%

Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

(4, 2)

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

a reflection across line m

Which letter in the word HAPPY has an order 2 rotational symmetry?

H

Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

A

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

xy-axis° R0,270° (x,y)

Triangle ABC is rotated to create the image A'B'C'. Which rule describes the transformation?

(x, y) → (x, -y)

A composition of transformations maps pre-image EFGH to final image E"F"G"H". The first transformation for this composition is ______, and the second transformation is a reflection across line c.

a translation down and to the left

A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How much has the polygon rotated after 7 minutes?

42°

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply.

A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry.

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply.

Every line bisects a vertex angle. Every line bisects a side. Every line is perpendicular to a side.

Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?

T-2,0° R0,90° (x,y)

The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image?

3

Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Check all that apply.

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. If figure 1 is rotated 360° about point C, it will be mapped onto itself.

A triangle is rotated 90° about the origin. Which rule describes the transformation?

(x, y) → (-y, x)

Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?

RB', 270° • rm

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°. Which statements are true regarding the transformation? Check all that apply.

The rule for the transformation is (x, y) → (-x, -y). The coordinates of L' are (-2,-2). The coordinates of N' are (-1,-6).

The figure is an isosceles trapezoid. How many lines of reflectional symmetry does the trapezoid have?

1

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (-x, -y)?

C

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

72°

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(-4, 4), S'(-4, 1), P'(-3, 1), and Q'(-3, 4). What is the location of Q?

(-4, -3)

At which angle will the hexagon rotate onto itself?

180°

Which shows the image of ΔRST after the rotation (x, y) → (y, -x)?

A

Triangle XYZ is rotated to create the image triangle X'Y'Z'. Which rules could describe the rotation? Check all that apply.

R0, 180° (x, y) → (-x, -y)

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

R0, 360°

Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"?

RC',180° rm