Check-in Review (Transformations)

The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?

• Z'(2, 4)
• Z'(-4, 2)
• Z'(-2, -4)
• Z'(-4, -2)

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Triangle XYZ is rotated 90° counterclockwise about the origin to form triangle KJL as shown below.

Which angle in triangle KJL must necessarily measure the same as Y

• J

• K

• L

• Z

Triangle XYZ is located in the first quadrant of the coordinate plane. If this triangle is reflected over the y -axis, what is true about the vertices of the reflection?

• The x-values are negative and the y-values are positive.

• The x-values are positive and the y-values are negative.

• The x- and y-values are positive.

• The x- and y-values are negative.

The vertices of triangle STU are S(–3, –2), T(4, 6), and U(1, –8). If the triangle is reflected over the x-axis, what are the coordinates of T′?

• (–6, 4)

• (–4, 6)

• (4, –6)

• (6, –4)

Triangle LMN has vertices at L(2, 2), M(–3, 1), and N(2, –3). If the triangle is rotated 180° about the origin, what will be the coordinates of M′?

• (3, 1)

• (1, 3)

• (1, –3)

• (3, –1)

Triangle XYZ has vertices at X(–2, 4), Y(–4, –2), and Z(5, 2). The triangle will be rotated 270° counterclockwise about the origin. What will be the coordinates of Z′?

• (–5, 2)

• (–2, 5)

• (2, –5)

• (5, –2)

Rectangle WXYZ was dilated by a scale factor of 0.25. The dilated rectangle is shown below.

• (–1, –0.5)

• (–4.25, –2.25)

• (–8, –4)

• (–16, –8)

Triangle LMN has vertices at L(1, 2), M(6, 3), and N(3, 5). Triangle LMN will be rotated 90° counterclockwise about the origin. What will be the coordinates of N′?

• (5, –3)

• (3, –5)

• (–3, 5)

• (–5, 3)

Triangle LMN has vertices at L(4, 0), M(8, 2), and N(0, 6). Triangle LMN will be dilated by a scale factor of 2. What will be the coordinates of triangle L′M′N′?

• L′(8, 2), M′(16, 4), N′(2, 12)

• L′(2, 0), M′(4, 1), N′(0, 3)

• L′(8, 0), M′(16, 2), N′(0, 6)

• L′(8, 0), M′(16, 4), N′(0, 12)

Rectangle JKLM is graphed below.

If the rectangle is reflected over the y-axis, what are the coordinates for M′?

• (–4, 2)

• (–2, 4)

• (2, –4)

• (4, –2)