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sammy [17]
3 years ago
10

2.5.3 Journal: Proofs of Congruence

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0
I am doing this on apex aswell and i am stuck for the last few ones. I know that the answer to #1 is: Natalie- SAS and Emma- SSS the other ones im not so sure about. sorry for the lack of help, just thought one answer is better than none lol
tayo
2 years ago
do you have question 5
MakcuM [25]3 years ago
8 0

Statement Reason

AB and BC are congruent

CPCTC

DB and FB are congruent

CPCTC

Angle EBD congruent to angle EFB

CPCTC

Angle ABD congruent to angle EBD

Alternate angle theorem

Angle FBC congruent to angle EFB

Alternate angle theorem

ABD CBF

SAS theorem


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ruslelena [56]
Hi Bre,

Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
-       ...
- ∡4 ⇔ ∡8

We're given the angle of ∡7, which is 114°.  We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
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