G.CO.5 & G.CO.6- Geometry Transformations and Congruence

Emma, Harper, and Mia are playing a game on a coordinate grid. If Emma moves a game piece from a point (x, y) to a new point (x + 3, y - 2), which type of transformation is she performing?

• Reflection

• Rotation

• Dilation

• Translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Maya and Henry each drew a triangle. Hannah observed that both triangles have equal corresponding angles and sides. True or False: Maya's and Henry's triangles are congruent.

• False

• Sometimes true

• True

• Only if they are isosceles triangles

Tags

CCSS.8.G.A.2

William, Elijah, and Noah are learning about geometric transformations in their math class. Which transformation flips a figure over a line, like a mirror image?

• rotation

• translation

• dilation

• reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Aiden is playing a video game where he can apply different transformations to his character. Which transformation is represented by the equation (x, y) -> (-x, y)?

• Reflection across the x-axis

• Reflection across the y-axis

• Reflection across the origin

• Rotation by 180 degrees

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Luna and Ethan are comparing two triangular pieces of paper. They want to know if the triangles are congruent. If the triangles are congruent, will their corresponding angles and sides be equal?

• True

• Only if they are regular polygons

• Sometimes true

• False

Tags

CCSS.8.G.A.2

Ava, Avery, and Mason are playing a game where they need to slide a figure on a grid without changing its orientation. What is the name of this transformation?

• rotation

• reflection

• dilation

• translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Arjun is playing a video game where his character's current position is represented by the coordinates (x, y). If the game instructs him to move his character to the new position (x - 4, y + 1), which type of transformation is this representing?

• Rotation

• Dilation

• Translation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Arjun and Scarlett are arguing about two triangles they saw in their geometry textbook. Arjun says that if two triangles have equal corresponding angles and sides, then they are congruent. Scarlett is not sure. Is Arjun correct?

• True

• Not enough information to determine

• Sometimes true

• False

Tags

CCSS.8.G.A.2

Aria, David, and Henry are playing a game where they have to turn a figure around a fixed point on their game board. What is the name of this transformation?

• rotation

• dilation

• translation

• reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Scarlett and Maya are playing a game where they swap their positions on a grid. If Scarlett is at position (x, y) and Maya is at position (y, x), which transformation does this represent?

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5