Performance Task: Tessellations — Unit test Answers

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Which statement describes the order of rotational symmetry for an isosceles triangle?

A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
3

Question text not available

Question illustration
A
60°
B
90°
C
180°
D
360°
4

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A
A rectangle is folded diagonally on both corners.
Option A
B
A rectangle is folded by a vertical and horizontal line going through its center.
Option B
C
A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.
Option C
D
A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
Option D
5

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
6

The vertices of triangle ABC are A(5,2), B(–1,–6) and C(1,5). If ΔDEF is similar to ΔABC and , which could be the coordinates of vertices D and E?

Question illustration
A
D(–4,2) and E(–4,–1)
B
D(–3,–1) and E(–1,1)
C
D(–5,3) and E(–5,1)
D
D(–2,–2) and E(2,0)
7

Which graph shows a dilation?

A
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 1), and (0, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option A
B
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 2), and (1, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option B
C
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 1), and (2, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option C
D
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 2), and (3, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option D
8

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative 1, negative 5). Triangle R S T has points (1, 1), (1, 5), and (4, 1).

Question illustration
A
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.
B
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.
C
The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.
D
The figures are not congruent. Point R does not correspond with point A.
9

Triangle ABC is congruent to triangle FDE, and both triangles have the same orientation, as shown. What is the slope of DF, which is also the slope of AC?

Answer not available
10

Triangle QRS is to be dilated using the rule .

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units
11

Triangle ABC is similar to triangle JKL, which is formed using JK.What is the length of KL? units

Answer not available

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