G.6 Congruent Triangles (Coordinate Proofs)

Which set of ordered pairs could represent the vertices of a triangle congruent to ΔRST?

• {(1,-1), (7,-1), (4,-6)}

• {(-7,5), (-2,8), (-2,1)}

• {(-6,-1), (-1,-5), (-6,-7)}

• {(-3,0), (3,0), (-1,-6)}

Determine a possible location of point F to make

ΔABC ≅ ΔDEF.

• (3,10)

• (3,4)

• (6,5)

• (3,-4)

Determine a possible location of point J to make ΔGHI ≅ ΔJKL.

• (3,1)

• (3,-5)

• (4,-3)

• (-1,1)

Determine point F with integral coordinates so that

ΔABC ≅ ΔDEF.

• (0,-4)

• (-8,-4)

• (-6,-2)

• (2,-2)

Determine a possible location of point D to make

ΔABC ≅ ΔCDE.

• (2,2)

• (4,1)

• (3,1)

• (4,2)

Determine the coordinates for point F that would make

ΔABC ≅ ΔDEF.

• (0,-4)

• (2,2)

• (6,0)

• (-2,-2)

Choose a point F so that ΔABC ≅ ΔDEF.

• (5,1)

• (5,2)

• (5,4)

• (3,3)

ΔXYZ has coordinates X(2,4), Y(5,6) and Z(4,0). ΔUWZ has one coordinate U(6,-4). What are the coordinates of W so that ΔXYZ ≅ ΔUWZ?

• (2,4)

• (3,-5)

• (6,-3)

• (3,-6)

Determine which triangles are congruent.

• ΔABC ≅ ΔDEF

• ΔABC ≅ ΔGHJ

• ΔGHJ ≅ ΔDEF

• ΔABC ≅ ΔDEF ≅ ΔGHJ

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

• No triangles are congruent.

• Only ΔABE and ΔCBE are congruent.

• Only ΔABE and ΔADE are congruent.

• Triangle ΔABE, ΔADE, and ΔCBE are all congruent.