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Andrei [34K]
1 year ago
15

Drag the tiles to the correct boxes to complete the pairs. The figure shows ∆ABC with m∠ABC = 90°. The first 10 steps to prove t

hat AB2 + BC2 = AC2 are given in the table. Match the remaining steps to their correct sequence in the proof. Statement Reason 1. Draw . construction 2. ∠ABC ≅ ∠BDC Angles with the same measure are congruent. 4. ∠BCA ≅ ∠DCB Reflexive Property of Congruence 4. AA criterion for similarity 5. Corresponding sides of similar triangles are proportional. 6. BC2 = AC × DC cross multiplication 7. ∠ABC ≅ ∠ADB Angles with the same measure are congruent. 8. ∠BAC ≅ ∠DAB Reflexive Property of Congruence 9. AA criterion for similarity 10. Corresponding sides of similar triangles are proportional. 11. 12. 13. 14. 15. AB2 + BC2 = AC2 Reason: multiplication AB2 + BC2 = AC × AC Reason: segment addition AB2 = AC × AD Reason: cross multiplication AB2 + BC2 = AC(AD + DC) Reason: Distributive Property AB2 + BC2 = AC × AD + AC × DC Reason: addition

Mathematics
2 answers:
tankabanditka [31]1 year ago
7 0

Answer:

Drag the tiles to the correct boxes to complete the pairs.

The figure shows ∆ABC with m∠ABC = 90°.

The first 10 steps to prove that AB2 + BC2 = AC2 are given in the table. Match the remaining steps to their correct sequence in the proof.

Statement Reason

1. Draw . construction

2. ∠ABC ≅ ∠BDC Angles with the same measure are congruent.

4. ∠BCA ≅ ∠DCB Reflexive Property of Congruence

4.  AA criterion for similarity

5.  Corresponding sides of similar triangles are proportional.

6. BC2 = AC × DC cross multiplication

7.  ∠ABC ≅ ∠ADB Angles with the same measure are congruent.

8. ∠BAC ≅ ∠DAB Reflexive Property of Congruence

9.  AA criterion for similarity

10.  Corresponding sides of similar triangles are proportional.

11.  

12.  

13.  

14.  

15.  

AB2 + BC2 = AC2

Reason: multiplication

AB2 + BC2 = AC × AC

Reason: segment addition

AB2 = AC × AD

Reason: cross multiplication

AB2 + BC2 = AC(AD + DC)

Reason: Distributive Property

AB2 + BC2 = AC × AD + AC × DC

Reason: addition

11

arrowBoth

12

arrowBoth

13

arrowBoth

14

arrowBoth

15

arrowBoth

Step-by-step explanation:

Rainbow [258]1 year ago
4 0

Answer:

is there a graph to go with this?

Step-by-step explanation:

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Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

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