gunnatvinson
26.01.2020 •
Mathematics
The figure below shows rectangle abcd.. the two-column proof with missing statement proves that the diagonals of the rectangle bisect each other. . statement. reason. abcd is a rectangle.. given. and are parallel. definition of a parallelogram. and are parallel. definition of a parallelogram. . alternate interior angles theorem. . definition of a parallelogram. ∡adb ≅ ∡cbd. alternate interior angles theorem. . angle-side-angle (asa) postulate. . cpctc. . cpctc. bisects . definition of a bisector. . which statement can be used to fill in the blank space? . ∡abd ≅ ∡dbc. ∡cad ≅ ∡acb. ∡bda ≅ ∡bdc. ∡cab ≅ ∡acb
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Ответ:
1) ABCD is a rectangle Given
__ __
2) AB and CD are parallel Definition of a Parallelogram
__ __
3) AD and BC are parallel Definition of a Parallelogram
4) Alternate Interior Angles Theorem
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5) BC ≡ AD Definition of a Parallelogram
6) ∡ ADB ≡ ∡ CBD Alternate Interior angles theorem
7) VADE ≡ VCBE Angle-Side-Angle (ASA) Postulate
__ __
8) BE ≡ DE CPCTC
__ __
9) AE ≡ CE CPCTC
__ __
10) AC bisects BD Definition of a bisector
Which statement can be used to fill in the blank space?
1) ∡ABD ≅ ∡DBC
2) ∡CAD ≅ ∡ACB THIS IS THE CORRECT ANSWER FOR #4.
3) ∡BDA ≅ ∡BDC
Ответ:
∡CAD ≅ ∡ACB
Step-by-step explanation:
In the figure attached, a best description of the problem is shown .
The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
In this case, the parallels are segments AD and BC. Then, the theorem tell us that angles ∡CAD and ACB are congruent.
Ответ:
answer a is correct just took the test.
step-by-step explanation: