Question

50 POINTSS!!!

ABC is transformed to DBE
A
|-----\
|-- ----\
|------- \
|-------- \
|--------- \
|---------- \
| -----------\
C-----------B- - - - - - - - -E
---------------\-------------- |
----------------\------------- |
-----------------\------------ |
------------------\----------- |
-------------------\---------- |
--------------------\--------- |
---------------------\-------- |
----------------------\------- |
-------------------------D
(A) Which rigid transformation can be used to map ABC on to DBE?
(B) What is true about the corresponding sides and angles of the image and the preimage? Explain.
(C) Identify the corresponding sides and angles of the image and the preimage.

Answer 1

(A) Either of
• rotation 180° about point B
• reflection across point B

(B) If the transformation is rigid, the corresponding sides and angles are congruent.

(C) The sequence of letters tells you the correspondence.
AB ⇔ DB
AC ⇔ DE
BC ⇔ BE
∠A ⇔ ∠D
∠ABC ⇔ ∠DBE
∠C ⇔ ∠E