Unit 3 Test
How many reflectional symmetries does a regular decagon have?
10
the smallest angle of rotational symmetry for a regular polygon is 30 degrees. How many sides will it have?
12
What is the order of rotational symmetry for a rhombus?
2
Which points are vertices of the pre-image, rectangle ABCD? Check all that apply.
(-1, -2) (7, 1) (-1, 1) (7, -2)
What are the coordinates of the image of vertex R after a reflection across the y-axis?
(3, 4)
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
T1, -9(x, y)
Which rule was used to translate the image?
T2, -4(x, y)
Which figure has an order 3 rotational symmetry?
equilateral triangle
if a figure has point symmetry, it must also have 4-fold symmetry
false
if a figure has rotational symmetry, it must also have point symmetry
false
Do all regular polygons have point symmetry? explain
no, because all regular polygons do not have rotational symmetry of 180
Point F' corresponds to
point F.
Which rule describes the composition of transformations that maps ABC to A"B"C"?
r x-axis T -6, -2 (x, y)
What is the rule for the reflection?
ry-axis(x, y) → (-x, y)
if a quadrilateral has exactly two lines of symmetry, and both are angle bisectors, then which statement would be true?
the figure must be a rhombus because it has exactly two pairs of congruent angles
Which statement is true about the regular octagon?
the regular octagon will map point a onto point e when rotated about p 180
a triangle never has point symmetry
true
all parallelograms have point symmetry
true
if a figure has point symmetry, it must also have rotational symmetry
true
Not why regular polygons have symmetry
yes, because all regular polygons have symmetry order of 2 yes, because all regular polygons have a center of rotation no, because all regular polygons do not have rotational symmetry of 180
If the smallest angle of rotation for a polygon is 18 degrees, how many sides will the polygon have?
20
How many lines of symmetry does an equilateral triangle have?
3
What is the minimum angle of rotational symmetry for the quadrilateral shown below?
360°
Which set of side lengths represents a triangle with the 3 of reflectional symmetry?
5, 5, 5
What is the smallest angle of rotational symmetry for a square?
90 degrees
Which statement describes the order of rotational symmetry for an isosceles triangle?
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
Which statement is true regarding the side in the image that corresponds to ?
ED corresponds to BA
Which letter in the word HAPPY has an order of 2 rotational symmetry?
H
What mistakes did he make?
He used an incorrect angle of rotation around point p he applied the reflection to the preimage first
Which angle corresponds to N?
N'
Which rule describes the transformation?
R0 270
Which rule describes for transformation? (diamonds)
R0 90
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Check all that apply.
The rule for the translation can be written as T-3, 1(x, y). The rule for the translation can be written as (x, y) → (x - 3, y + 1).
Which transformation maps the pre-image to the image?
The transformation is a rotation.
The first transformation for this composition is , and the second transformation is a translation down and to the right.
a 270 rotation about point p
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
a reflection across line n followed by a 270° rotation about point P