geometry unit test 2
Which letter in the word HAPPY has an order 2 rotational symmetry?
H
Which description is true about the transformation shown?
It is a dilation because the transformation is not isometric.
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The rule as a mapping for the translation of a rectangle is (x, y) → (x - 2, y + 7). Which describes this translation?
a translation of 2 units to the left and 7 units up
A transformation of rectangle ABCD results in rectangle A'B'C'D'. Which transformation maps the pre-image to the image?
dilation
Which transformations are nonrigid transformations? Select two options.
dilation and stretch
Which transformation maps quadrilateral EFGH to quadrilateral QRSP?
rotation
What is the rule for the reflection?
ry=x(x, y) → (y, x)
A transformation of rectangle LMNO results in rectangle L'M'N'O'. Which transformation maps the pre-image to the image?
stretch
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D' in the image are (9, -8)?
(13, -23)
The rule is applied to ΔABC. Which triangle shows the final image?
1
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
20
How many lines of reflectional symmetry does an equilateral triangle have?
3
Which angle of rotation is an angle of rotational symmetry for all figures?
360°
The image of parallelogram PQRS after a reflection across is parallelogram P'Q'R'S'. = 12. What is the length of RZ?
6
Which triangle has 0 reflectional symmetries?
A
ΔA'B'C' was constructed using ΔABC and line segment EH. For to be the line of reflection between and , which statements must be true? Select three options.
BD = DB' , m∠EFA = 90° , The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
Which transformation maps the pre-image, DEFG, to the image, D'E'F'G'?
The transformation is a reflection.
A point has the coordinates (0, k). Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the y-axis
A transformation of ΔSTV results in ΔUTV. Which transformation maps the pre-image to the image?
reflection
Consider the two rectangles shown. What transformation maps rectangle QRST to rectangle Q'R'S'T'?
reflection
Which figure has the same order of rotational symmetry as a rectangle?
rhombus
Which shows the image of quadrilateral ABCD after the transformation R0, 90°?
B
One vertex of a polygon is located at (3, -2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options.
R0, 90° , R0, -270°
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
RIORQ,180O
Irina wants to tile her floor using the translation shown below. Which is the rule for this translation?
T-3, 2(x, y)
Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"?
T-6,1 ORx-axis(x,y)
Which rule represents the translation from the pre-image, ABCD, to the image, A'B'C'D'?
T2, 1(x, y)
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
T6,-5ORy-axis(x-y)
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? Select three options.
The rule for the transformation is (x, y) → (-x, -y). , The coordinates of L' are (-2,-2). , The coordinates of N' are (-1,-6).
Which shows the image of ΔRST after the rotation (x, y) → (y, -x)?
a
Which composition of transformations maps figure EFGH to figure E"F"G"H"?
a reflection across line k followed by a translation down
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
Which type of triangle will always have at least 1-fold reflectional symmetry?
isosceles triangle
Which statements must be true about the reflection of ΔXYZ across ? Select three options.
m∠X'Z'Y' = 90° , m∠MCY = 90° , BZ' ≅ BZ
Square A"B"C"D" is the final image after the rule was applied to square ABCD. What are the coordinates of vertex A of square ABCD?
(-2, 1)
Which point would map onto itself after a reflection across the line y = -x?
(4, -4)
Triangle ABC is translated according to the rule (x, y) → (x + 2, y - 8). If the coordinates of the pre-image of point B are(4, -5), what are the coordinates of B'?
(6, -13)
A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) → (-y, x)
What is the order of rotational symmetry for a rhombus?
2
Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are(-9, 2), what are the coordinates of F'?
(-6, -6)
What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?
(-6, 8)
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(3, 2)
Figure WXYZ is transformed using the rule. Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image?
(3, 8)
The rule is applied to ΔFGH to produce ΔF"G"H". What are the coordinates of vertex F" of ΔF"G"H"?
(4, -1.5)
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x - 3, y + 5)
A triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to write this rule?
(x, y) → (x - 8, y + 4)
Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y - 3.5) to create the image ΔA'B'C' shown on the coordinate plane. Which graph shows the pre-image, ΔABC?
D
The image of ΔABC after a reflection across is ΔA'B'C'. Which statement is true about point F?
F is the midpoint of AA' because bisects AA'.
How can a regular hexagon be folded to show that it has reflectional symmetry?
Fold the hexagon along a line that bisects two vertex angles.
A transformation is shown in the diagram. Which transformation is shown?
Quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'.
Triangle XYZ is rotated to create the image triangle X'Y'Z'. Which rules could describe the rotation? Select two options.
R0, 180° , (x, y) → (-x, -y)
Quadrilateral ABCD is transformed according to the rule (x, y) → (y, -x). Which is another way to state the transformation?
R0, 270°
The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'. What is the relationship between RR' and SS'?
RR' || SS'
Triangle STV is transformed to create the image, triangle UTV. Which side in the image corresponds to in the pre-image?
TV
Which statements must be true about the image of ΔMNP after a reflection across ? Select three options.
The image will be congruent to ΔMNP. , will be perpendicular to the line segments connecting the corresponding vertices. , The line segments connecting corresponding vertices will all be parallel to each other.
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
The rule for the translation can be written as T3, -5(x, y). , Triangle ABC has been translated 3 units to the right and 5 units down.
Triangle RST was transformed using the rule (x, y) → (-x, -y). The vertices of the triangles are shown. R (1, 1)S (3, 1)T (1, 6) R' (-1, -1)S' (-3, -1)T' (-1, -6) Which best describes the transformation?
The transformation was a 180° rotation about the origin.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
a 270° rotation about point B'
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