The function rule T–4, 6(x, y) could be used to describe which translation?

a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right

a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left

a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up

The diameter of one circle is represented by 12x. The diameter of another circle is represented by . What is the ratio of the radii of the two circles?

Option

2x:y

x:2y

2:xy

On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (1, 1), (1, 5), (3, 5), (1, 5). Rectangle P double-prime Q double-prime R double-prime S double-prime has points (negative 1, negative 1), (negative 5, negative 1), (negative 5, negative 3), (negative 1, negative 3).

270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.

Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.

270 degree rotation about point 0 composition reflected across the y-axis

Reflected across the y-axis composition 270 degree rotation about point 0.

If the scale factor between two circles is , what is the ratio of their areas?

Option

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

a reflection of the line segment across the x-axis

a reflection of the line segment across the y-axis

a reflection of the line segment across the line y = x

a reflection of the line segment across the line y = –x

Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.

It has only 1 line of reflectional symmetry.

A line of symmetry will connect 2 vertices.

A line of symmetry will connect a vertex and a midpoint of an opposite side.

It has 7-fold symmetry.

A line of symmetry will connect the midpoints of 2 opposite sides.

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

45º

90º

180º

270º

A composition of transformations maps pre-image EFGH to final image E"F"G"H".

a 180° rotation about point G

a 180° rotation about point H

a translation down and to the left

a translation up and to the right

A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal.

60°

90°

120°

180°

Triangle PQR has vertices , , and . It is translated according to the rule .What is the y-value of ?

Option

Triangle ABC is rotated to create the image A'B'C'.

(x, y) → (x, –y)

(x, y) → (y, x)

(x, y) → (–x, –y)

(x, y) → (–y, –x)

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)

(–3, –4)

(3, 4)

(4, 3)

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5).

(–5, –3)

(3, –3)

(–1, –6)

(4, –9)

The diagram below shows the partial construction of which shape?

a regular hexagon inscribed in a circle

an equilateral triangle inscribed in a circle

a square inscribed in a circle

a similar circle inscribed in a circle

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

R0, 90°

R0, 180°

R0, 270°

R0, 360°

Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise.

90 degree rotation about point C prime composition reflected across line m

Reflected across line m composition 90 degree rotation about point C prime

180 degree rotation about point C prime composition reflected across line m

Reflected across line m composition 180 degree rotation about point C prime

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?

Connect all six points on the circle.

Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.

Construct two diameters using the points where the arc intersects the circle and the center.

Connect the endpoints of the two diameters.

The figure is an isosceles trapezoid.

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

(x, y) → (x + 6, y – 5)

(x, y) → (x – 6, y + 5)

(x, y) → (x + 8, y – 11)

(x, y) → (x – 8, y + 11)

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).