Congruent Triangles Coordinate Grid

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

• Reflect △ABC across the x-axis, then translate it right 1

• Reflect △ABC across the y-axis, then translate it right 1

• Reflect △ABC across the x-axis, then translate it left 1

• Reflect △ABC across the y-axis, then translate it left 1

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that \Delta ABC\cong\Delta DEF

• Reflect △ABC across the x-axis, then translate it down 1

• Reflect △ABC across the x-axis, then translate it up 1

• Reflect △ABC across the y-axis, then translate it down 1

• Reflect △ABC across the y-axis, then translate it up 1

• Reflect △ABC across the x-axis, then translate it down 2

• Reflect △ABC across the y-axis, then translate it down 2

• Reflect △ABC across the x-axis, then translate it up 2

• Reflect △ABC across the y-axis, then translate it up 2

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the x-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Reflection across the line y = -x

• Reflection across the line y = x

• Rotation 270° counterclockwise around the origin

• Rotation 90° counterclockwise around the origin

Based on the diagram below, find the length of TR.

Find the length of DF.

Solve for X

• X = 77

• X = 84

• X = 66

• X = 76

Triangles ABE, ADE, and CED are shown on the coordinate grid, and all the vertices have coordinates that are integers. Which statement is true?

• No two triangles are congruent

• Only ∆ABE and ∆ADE are congruent

• Only ∆ABE and ∆CED are congruent

• All three triangles are congruent

Which pair of triangles drawn on the grid above are apparently congruent?

• Triangle ABC and Triangle GHK

• Triangle ABC and Triangle DEF

• Triangle GHK and Triangle DEF

• None

What makes this true?

• ∠C≅∠F

• ∠B≅∠D

• AC ≅ EF