unit test, Geometry flash cards

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit. Is the transformation an isometric transformation? Explain.

C: No, the side lengths are not preserved.

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

C: RR' || SS'

Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?

C: figure C

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?

D: (4, 3)

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?

D: 42°

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

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

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. 1: It has only 1 line of reflectional symmetry. 2: A line of symmetry will connect 2 vertices. 3: A line of symmetry will connect a vertex and a midpoint of an opposite side. 4: It has 7-fold symmetry. 5: A line of symmetry will connect the midpoints of 2 opposite sides.

3: A line of symmetry will connect a vertex and a midpoint of an opposite side. 4: it has 7- fold symmetry

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply. 1: Every line connects two vertices. 2:Every line connects the midpoints of 2 sides. 3:Every line bisects a vertex angle. 4:Every line bisects a side. 5:Every line is perpendicular to a side.

3: Every line bisects a vertex angle. 4: Every line bisects a side. 5: Every line is perpendicular to a side.

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

A

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?

A: (4, 2)

At which angle will the hexagon rotate onto itself?

A: 60°

A transformation of ΔKLM results in ΔK'L'M'.

A: dilation

What are the coordinates of the image of vertex F after a reflection across the line y = -x?

B: (3, -1)

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

B: 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

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

C: (x, y) → (-x, -y)

Triangle PQR has vertices P(-2, 6), Q(-8, 4), and R(1, -2). It is translated according to the rule (x, y) → (x - 2, y - 16). What is the y-value of P'?

The y-value of P' is 10

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

m∠YXS = 90

Which statement about the transformation is true?

A: It is rigid because all side lengths and angles are congruent.

Which transformation maps the large triangle onto the small triangle?

A: dilation

Square RSTU is translated to form R'S'T'U', which has vertices R'(-8, 1), S'(-4, 1), T'(-4, -3), and U'(-8, -3). If point S has coordinates of (3, -5), which point lies on a side of the pre-image, square RSTU?

A:(-5, -3)

Right triangle LMN has vertices L(7, -3), M(7, -8), and N(10, -8). The triangle is translated on the coordinate plane so the coordinates of L' are (-1, 8).

D: (x, y) → (x - 8, y + 11)

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

D: R0, 360°

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)?

D: a reflection of the line segment across the line y = -x

Which type of triangle will always have exactly 1-fold reflectional symmetry?

D: isosceles triangle