Unit 2, Lesson 2
Congruent Parts, Part 2
Geometry
Practice
Problem 1
Line \(SD\) is a line of symmetry for figure \(AXPDZHMS\). Noah says that \(AXPDS\) is congruent to \(HMZDS\) because sides \(AX\) and \(HM\) are corresponding.
- Why is Noah’s congruence statement incorrect?
- Write a correct congruence statement for the pentagons.
Problem 2
FIgure \(MBJKGH\) is the image of figure \(AFEKJB\) after being rotated 90 degrees counterclockwise around point \(K\). Draw a segment in figure \(AFEKJB\) to create a quadrilateral. Draw the image of the segment when rotated 90 degrees counterclockwise around point \(K\).
Write a congruence statement for the quadrilateral you created in figure \(AFEKJB\) and the image of the quadrilateral in figure \(MBJKGH\).
L shaped figure. Starting at bottom left vertice and moving up, points M, B, A. Moving right, F. Moving down, E. Moving right, K, G. Moving down, H. Point J, inside of figure, directly below K. Segments K J and B J are drawn.