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.
1 a. Why is Noah’s congruence statement incorrect? (select all that are true)
3. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.
4. When triangle ABC is reflected across line AB, the image is triangle ABD. Why are segment AD and segment AC congruent?
5. Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.
This design began from the construction of a regular hexagon.
6. a. Draw 1 segment so the diagram has another hexagon that appears to be congruent to shaded hexagon ABCIHG.
6. b. Explain why the hexagons are congruent. (Assuming that the hexagon GHIJKL is also a regular hexagon with center O)
7. Elena needs to prove angles BED and BCA are congruent. Provide reasons to support each of her statements.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Angles BED and BCA are congruent | arrow_right_alt | If corresponding angles created by a transversal cutting across two lines are congruent, then the two lines are parallel. |
Angles BDE and BAC are congruent | arrow_right_alt | If corresponding angles are created by a transversal cutting across two parallel lines, then the two angles are congruent. |
Line m is parallel to line l. | arrow_right_alt | Given as per congruency marks on the diagram. |
