Mathematics, 04.11.2019 10:31 iamsecond235p318rq

Given: ad ≅ bc and ad ∥ bc prove: abcd is a parallelogram. statements reasons 1. ad ≅ bc; ad ∥ bc 1. given 2. ∠cad and ∠acb are alternate interior ∠s 2. definition of alternate interior angles 3. ∠cad ≅ ∠acb 3. alternate interior angles are congruent 4. ac ≅ ac 4. reflexive property 5. △cad ≅ △acb 5. sas congruency theorem 6. ab ≅ cd 6. ? 7. abcd is a parallelogram 7. parallelogram side theorem what is the missing reason in step 6?

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Answer from: taniyahbenyamin2

Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

Statements Reasons

1. AD ≅ BC; AD ∥ BC 1. given

2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles

3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent

4. AC ≅ AC 4. reflexive property

5. △CAD ≅ △ACB 5. SAS congruency theorem

6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram 7. parallelogram side theorem

Answer from: simran1049

Given: It is given that $AD \cong BC$ and $AD \parallel BC$ .

To Prove: ABCD is a parallelogram.

Statements

1. $AD \cong BC$ and $AD \parallel BC$

Reason: Given

2. $\angle CAD, \angle ACB$ are alternate interior angles

Reason: Def of alternate interior angles

3. $\angle CAD \cong \angle ACB$

Reason: Alternate interior angles are congruent

4. $AC \cong AC$

Reason: Reflexive property

5. $\Delta CAD \cong \Delta ACB$

Reason: SAS congruency theorem

6. $AB \cong CD$

Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram

Reason: Parallelogram Side Theorem

Answer from: Quest

step-by-step explanation:

Answer from: Quest

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

In circle a, bae dae. what is the value of x?

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Given: ad ≅ bc and ad ∥ bc prove: abcd is a parallelogram. statements reasons 1. ad ≅ bc; ad ∥ bc...

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