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2 years ago

Given: AD = BC and AD || BC Prove: ABCD is a parallelogram.

Mathematics

2 answers:

maksim [4K]2 years ago

5 0

Answer:

ABCD is a parallelogram

Step-by-step explanation:

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.

Katen [24]2 years ago

4 0

Answer:

Step-by-step explanation:

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2 years ago

the rectangle poster shown at the right measures 2w-30 by w. the poster has an area of 5400 cm^2. what is the value of a?

Lemur [1.5K]

This is the concept of algebra, to get the values of the unknown we proceed as follows:
Length=(2w-30) cm
width=w
Area=length×width
=w(2w-30)=5400
=2w^2-30w=5400
hence
2w^2-30w-5400=0
solving the quadratic we get:
w^2-15w-2700=0
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hence
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since there is no negative dimension we shall take w=60
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2 years ago

Read 2 more answers