Describe the effect of dilations about the origin, translations, rotations about the origin in 90 degree increments, and reflections across the 𝑥- axis and 𝑦-axis on two-dimensional figures using coordinates.
Use transformations to define similarity. • Verify experimentally the properties of dilations that create similar figures. • Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. • Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Use transformations to define congruence. • Verify experimentally the properties of rotations, reflections, and translations that create congruent figures. • Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. • Given two congruent figures, describe a sequence that exhibits the congruence between them.
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Q 1/10
Score 0
Triangle LMN has vertices at L(–4, 2), M(2, 4), and N(2, –6). If the triangle is dilated by a scale factor of 1/2 , what will be the coordinates of N′?
300
( 2, -3)
( 0, -2)
(1, –3)
(1, -6)
Q 2/10
Score 0
Triangle XYZ has vertices at X(–4, 2), Y(2, 2), and Z(–2, 4). After a dilation is applied, the image triangle X′Y′Z′ has vertices X′(–12, 6), Y′(6, 6), and Z′(–6, 12). What is the scale factor for the dilation?
300
1/2
3
1/3
2
10 questions
Q.
Triangle LMN has vertices at L(–4, 2), M(2, 4), and N(2, –6). If the triangle is dilated by a scale factor of 1/2 , what will be the coordinates of N′?
1
300 sec
NC.8.G.3
Q.
Triangle XYZ has vertices at X(–4, 2), Y(2, 2), and Z(–2, 4). After a dilation is applied, the image triangle X′Y′Z′ has vertices X′(–12, 6), Y′(6, 6), and Z′(–6, 12). What is the scale factor for the dilation?
2
300 sec
NC.8.G.3
Q.
Two figures are shown, which statement is true?
3
300 sec
NC.8.G.3
Q.
If the rectangle is translated 6 units to the left and 3 units up, what will be the coordinates of Y′?
4
300 sec
NC.8.G.3
Q.
Rectangle LMNP is transformed to rectangle L′M′N′P′ as shown on the graph below. What scale factor was used in the dilation?
5
300 sec
NC.8.G.3
Q.
Which transformation exhibits the similarity of triangles A B C and A' B'C' shown below?
6
300 sec
NC.8.G.4
Q.
Which statement can be used to prove that triangle A is similar to triangle B, shown on the coordinate plane below?
7
300 sec
NC.8.G.4
Q.
Which single transformation performed on Figure A results in Figure A’?
8
300 sec
NC.8.G.4
Q.
The square below is translated to the left and reflected across the y-axis. Which statement about the resulting figure is true?
9
300 sec
NC.8.G.2
Q.
Which graph shows the line segment after it has been reflected over the x-axis?
