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RoseWind [281]
2 years ago
14

Match the reasons with the statements in the proof.

Mathematics
2 answers:
Lady_Fox [76]2 years ago
6 0

Answer:

 

Step-by-step explanation:

Given: c is parallel to d and ∠4=∠5.

To prove: ∠7=∠8

Proof:

Statement                                                Reason

1. c║d, ∠4=∠5                                           Given

2.∠4=∠7                                    If lines ||, alternate interior angles are equal.

3.∠5=∠8                                             Vertical angles are equal

Since, ∠4=∠5, therefore ∠7=∠8

4.∠7=∠8                                               Substitution

notsponge [240]2 years ago
5 0
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution
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Use substitution to write an equivalent quadiatic equation<br> ( 3x^2)^2+7(3x +2) -8=0
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Given: PRST is a square
xxTIMURxx [149]

Answer:

(1-\sqrt{2})a^2

Step-by-step explanation:

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Thus,

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5 0
3 years ago
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