Given: ad ≅ bc and ad ∥ bc prove: abcd is a parallelogram. statements reasons 1. ad ≅ bc; ad ∥ bc1.given 2.∠cad and ∠acb are alt
ernate interior ∠s2.definition of alternate interior angles 3.∠cad ≅ ∠acb3.alternate interior angles are congruent 4.ac ≅ ac4.reflexive property 5.△cad ≅ △acb5.sas congruency theorem 6.ab ≅ cd6. ? 7.abcd is a parallelogram 7.parallelogram side theorem what is the missing reason in step 6? sss congruency theorem cpctc definition of a parallelogram opposite sides in a parallelogram are congruent
2 answers:
Answer: Step 6 : CPCTC
Step-by-step explanation:
CPCTC states that corresponding part of the congruent triangles are congruent.
Here, Given: abcd is a quadrilateral,
In which ad ≅ bc and ad║bc
Prove : abcd is a parallelogram.
Statement Reason
1. ad ≅ bc; ad║bc 1. Given
2.∠cad and ∠acb are alternative angles 2. Definition of alternative angles
3. ∠cad≅∠acb 3. alternative angles are congruent
4. ac ≅ ac 4. Reflexive property
5.△cad ≅ △acb 5. SAS congruence postulate
6. .ab ≅ cd 6. CPCTC
7. abcd is a parallelogram 7. Parallelogram side theorem
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In order to make them perpendicular, their dot product must result in zero. so:
Answer:
Step-by-step explanation:
Given: a graph
To find: the average rate of change of the amount of the element over the 10-minute experiment
Solution:
A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.
From the graph,
change in x (time) = minutes
change in y ( amount of the element) = g
So, average rate of change =