Understand congruence in terms of rigid motions

Triangle ABC is shown below. Suppose the triangle is translated 5 units to the right and 7 units down. What are the coordinates of the image of vertex C after this transformation?

• (-8, 6)

• (2, -6)

• (-3, -6)

• (2, 0)

Tags

CCSS.HSG.CO.A.2

Which of these transformations preserve distance and angle measure? (select all)

• Translations

• Reflections

• Dilations

• Rotaitons

Tags

CCSS.HSG.CO.A.2

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

• The rotation (x, y) --> (-x, -y)

• The translation (x, y) --> (x + 6, y - 2)

• The rotation (x, y) -->(-y, -x)

• The translation (x, y) --> (x + 4, y - 8)

Tags

CCSS.HSG.CO.A.2

Which type of transformation is (x, y) --> (x + 2, y - 2)?

• dilation

• reflection

• rotation

• translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the image of (x, y) after a translation of 3 units right and 7 units down?

• (x + 3, y - 7)

• (x + 3, y + 7)

• (x - 3, y - 7)

• (x - 3, y + 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the image of point (2, 5) under the translation that shifts (x, y) to (x + 3, y - 2)?

• (0, 3)

• (0, 8)

• (5, 3)

• (5, 8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation would result in the perimeter of a triangle being different from the perimeter of its image?

• (x, y) --> (y, x)

• (x, y) --> (x, -y)

• (x, y) --> (4x, 4y)

• (x, y) --> (x + 2, y - 5)

Tags

CCSS.HSG.CO.A.2

When you translate, you ______ a number to x and y.

• Add or subtract
• Multiply or divide
• Add or multiply
• Subtract or divide

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When you translate, (x, y+6) will move _____.

• 6 units right

• 6 units left

• 6 units up

• 6 units down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5