Exploring Congruent Triangles on the Coordinate Plane

What is the main objective of today's lesson?

• To learn how to draw triangles

• To prove triangles congruent in a coordinate plane

• To measure angles of triangles

• To find the area of triangles

Which theorem is used to find the side lengths of the triangles?

• Cosine rule

• Triangle inequality theorem

• Pythagorean theorem

• Sine rule

What is the length of side AB in both triangles ABC and ABD?

• 5

• 6

• 4

• 3

What is the length of side AC in triangle ABC?

• Square root of 36

• Square root of 50

• Square root of 72

• Square root of 40

Which postulate is used to prove the congruence of triangles ABC and ABD?

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Side-Side-Side

In example 3, what are the coordinates of point A in triangle ABC?

• (7, 3)

• (3, 7)

• (1, 3)

• (3, 1)

How many possible locations are there for point F in example 3?

• 1

• 2

• 4

• 3

In example 4, which quadrant is point F restricted to?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

What is the distance from point A to point C in triangle ABC?

• 5

• 4

• 2

• 3

What are the coordinates of point F in example 4?

• (1, -5)

• (-5, 1)

• (1, 5)

• (5, 1)