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06.01.2020 •
Mathematics
What is the missing reason in the proof?
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Ответ:
Option 2.
Step-by-step explanation:
Given information: ABCD is a parallelogram with diagonal BD.
Prove: ΔABD ≅ΔCDB
Proof:
Definition of parallelogram: Opposite sides of a parallelogram are parallel and congruent.
Alternate interior angle theorem : If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
ASA postulate: If two corresponding angles and their included side are congruent, then both triangles are congruent.
Statement Reason
1. AD║BD 1. Definition of parallelogram.
2. ADB≅CBD 2. Alternate interior angle theorem.
3. AB║CD 3. Definition of parallelogram.
4. ABD≅CDB 4. Alternate interior angle theorem.
5. DB≅DB 5. Reflexive property of congruence
6. ΔABD ≅ΔCDB 6. ASA
The missing reason is "Definition of parallelogram".
Therefore, the correct option is 2.
Ответ:
Step-by-step explanation:
If AB ⊥ CD, then![m_{AB}](/tpl/images/0921/6216/44225.png)
= - 1
P(
,
)
y -
= m( x -
)
~~~~~~~~~~~~~~~~
y = - 2x + 6 and P(3, 3) , m = - 2
Slope of ⊥ line is![\frac{1}{2}](/tpl/images/0921/6216/9cdae.png)
y - 3 =
( x - 3 )
y =
x +
or y = 0.5x + 1.5