U6L1 Rigid Transformations in the Plane

The triangles shown here look like they might be ​ (a)   . Since we know the coordinates of all the ​ (b)   , we can compare lengths using the ​ (c)   Theorem.

• congruent
• vertices
• Pythagorean

• hypotenuse
• a right triangle
• congruent
• 1 unit eac
• Side-Side-Side

Since triangle ABC is congruent to triangle ​ (a)   , there is a sequence of​ (b)   that takes triangle ABC to triangle DEF. Here is one possible sequence: First, reflect triangle ABC across the ​ (c)   . Then, translate the image by the ​ (d)   from ( -1, 1) to ( -3, 1).

• DEF
• rigid motions
• y-axis
• directed line segment

Reflect ABC over the ​ (a)   . Translate by ​ (b)   from (-2, 1) to (-5, 2). ​ (c)   triangle around (-5, 2) counterclockwise ​ (d)   .

• x-axis
• y-axis
• directed line segment
• Rotate
• 90°
• 180°

• 6
• 5
• x-axis.
• y-axis

• Translate
• Rotate
• y-axis.
• x-axis

• clockwise
• parallel
• directed line segment
• F