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Dafna1 [17]
3 years ago
13

Proving the Parallelogram Side Theorem

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

Statements                                            Reasons

1. ABCD is a parallelogram                  1. Given

2. Seg. AB is parallel to seg. CD         2. Def of parallelogram

3. Seg. AD is parallel to seg. BC         3. Def of parallelogram

4. Draw seg. BD                                   4. Between 2 pts there is 1 line

5. <ABD is congr <CDB                        5. Alt. Int. < Theorem

6. <BDA is cong <DBC                         6. Alt. Int. < Theorem

7. Seg. BD is congr seg. BD                7. Congr. of seg's is reflexive

8. Triangle BAD is congr tr. DCB         8. SAS Postulate

9. AB is congr CD                                 9. CPCTC

10. BC is congr DA                                 10. CPCTC

11. AB = CD; BC = DA                           11. Def of congr. seg's

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A sack of potatoes weighs 14 pounds 9 ounces after wendy makes potato salad for a picnic the sack weights 9 pounds 14 ounces wha
dlinn [17]
For this case we have the following conversion:
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7 0
3 years ago
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

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6 0
2 years ago
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Mrac [35]

Answer:

x = 10

Step-by-step explanation:

plug and chug using a calculator

4(10+2)

10+2= 12 x 4=48

7 0
3 years ago
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