Coordinate Geometry and Triangles

Determine if the triangles are congruent, if "yes" state the theorem.

• not congruent
• yes, SSS
• yes, SAS
• yes, ASA

What triangle congruence criteria is shown in the given diagram?

• ASA

• AAS

• SSA

What triangle congruence criteria is shown in the given diagram?

• AAS
• ASA
• SSA
• SAS

Which of the following is NOT a triangle congruence criteria?

• SAS
• AAS
• SSA
• ASA

Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?

• ( 5,5 )
• ( 1,-1 )
• ( -1,3 )
• ( 2, -2 )

Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas. He starts by assigning coordinates as given.
To find the area of △MNL, the length of the base, segment ML is _____, and the height is ______. So an expression for the area of △MNL is ab.

• ab,b
• b, 2a
• 2a, b
• 4b, a

Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas. He starts by assigning coordinates as given.
N is the midpoint of segment KL. Therefore, the coordinates of N are (a, ___)

• ab
• b
• 2a
• 4b

Which of the following is NOT a guideline for placing figures on the coordinate plane.

• Use coordinates that make computation as simple as possible.

• Keep the figure in the first quadrant.

• Use the point (1, 1) as a vertex or center.

• Place at least one side of a polygon on an axis.

Determine the coordinates of Q.

• (-2b, 2b√3)

• (-2b, 2b)

• (-2b, 4b)

• (-2b, b)

Mr. Lopez planted a pine tree in his backyard that was 4 feet wide at the base and 5 feet tall. Prove that ΔABC is an isosceles triangle by using the Distance Formula to find AB and BC?

• √12

• √29

• √21

• √20