Question

75 POINTS FOR ALL PARTS TO BE ANSWERED!!!!
1. Given: CB ∥ ED; CB ≅ ED
Prove: CBF ≅ EDF using isometric (rigid) transformations.
Outline the necessary transformations to prove CBF ≅ EDF using a paragraph proof. Be sure
to name specific sides or angles used in the transformation and any congruency statements.
2. The congruency of MNO and XYZ can be proven using a reflection across the line bisecting
OZ. However, this congruency can also be proven using geometric postulates, theorems, and
definitions. Prove that the triangles are congruent using a two-column proof and triangle
congruency theorems.
Given: ∠M ≅ ∠X
∠N ≅ ∠Y
YO ≅ NZ
Prove: MNO ≅ XYZ
Statements
1 ∠M ≅ ∠X
2 ∠N ≅ ∠Y
3 YO ≅ NZ
4 YO = NZ
5 OZ = ZO
6 . YO + OZ = NZ + ZO
7 YZ = NO
8 YZ ≅ NO
9 ∆MNO ≅ ∆XYZ

3. Use the diagram and given information to answer the questions and prove the statement.
Given: ∠X ≅ ∠Z

XY ≅ ZY
Prove: AZ ≅ BX

b) What additional information would be necessary to prove that the two triangles, XBY and
ZAY, are congruent? What congruency theorem would be applied?
c) Prove AZ ≅ BX using a proof.

Answer 1

it wouldnt let me type it out normally but here's your answer

66ee12e0355cc49eb1096da41abeb5b5.pdf

Answer 2

Answer:

hope it helps these are the answers I got

Step-by-step explanation:

#1  

the last two images

#2

given

given

given

definition of congruent line segments

symmetric property of congruence

addition and substitution properties of equality

segment addition theorem

definition of congruent line segments

AAS congruence postulate

#3 the first three images