# IM1H 6.1 Leaping Lizards! and Is It Right?

What are some observations you have about these transformations above?

Consider the points A (2,3) and B (4,7) and the line segment AB, between them. What is the slope of this line segment?

Locate a third point C (x,y) on the coordinate grid, so the points A (2,3), B (4,7) and C (x,y) form the vertices of a right triangle, with segment AB as its hypotenuse.

Explain how you know that the triangle you formed contains a right angle?

Now rotate this right triangle 90 degrees about the vertex point (2, 3). Explain how you know that you have rotated the triangle 90 degrees.

Compare the slope of the hypotenuse of this rotated triangle with the slope of the hypotenuse of the pre-image. What do you notice?

Consider the points A (2,3) and B (7,5) and the line segment AB, between them. What is the slope of this line segment?

Locate a third point C (x,y) on the coordinate grid, so the points A (2,3), B (4,7) and C (x,y) form the vertices of a right triangle, with segment AB as its hypotenuse.

Explain how you know that the triangle you formed contains a right angle?

Now rotate this right triangle 90 degrees about the vertex point (2, 3). Explain how you know that you have rotated the triangle 90 degrees.

Compare the slope of the hypotenuse of this rotated triangle with the slope of the hypotenuse of the pre-image. What do you notice?

Based on these last two examples, what have you observed about the slopes of perpendicular lines?

What major points are you taking away from today's lesson?