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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Answer:
Step-by-step explanation:
1) x² + 6x + 11 = 0
a = coefficient of x² = 1
b = coefficient of x = 6
c = Constant = 11
Roots = (-b ± √b² - 4ac)/2a
Roots =
2) 2x² - 16x = 50
Divide the whole equation by 2
x² - 8x = 25
Divide the coefficient of x (i. e 8 ) by 2 = 8/2 = 4, Now add 4 to both sides of the equation
x² - 8x + 4 = 25 + 4
x² - 2*4*x + 2² = 29
(x - 2)² = 29
Take square root both side