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