MATHEMATICS HIGH SCHOOL

Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent: Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles

Answers

Answer 1

Answer:

Answer:

The correct option is 1.

Step-by-step explanation:

Statement Reasons

1. AB is parallel to DC and Definition of parallelogram

AD is parallel to BC

2. angle 1 = angle 2, If two parallel lines are cut by a

angle 3 = angle 4 transversal then the alternate

interior angles are congruent

3. BD = BD Reflexive Property

4. $\triangle ADB\cong \triangle CBD$ ASA postulate

5. AB = DC, AD = BC (CPCTC)

If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.

According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Therefore option 1 is correct.

Answer 2

Answer:

Answer:

alternate interior angles, i took the test and got it right

Step-by-step explanation:

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Write the sum of 83 and
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atical way.

Answers

Answer:

$83 + n$

Step-by-step explanation:

The sum of 83 and a number would be $83 + n$ as an expression, where $n$ is "said number".

Answer:

43+40= 83

ur answer is 83

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Answers

Answer:

Step-by-step explanation:

arranging in ascending order

1,2,2,3,5

mean= (1+2+2+3+5)/5=13/5=2.6

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A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity

Answers

Intensity = Voltage ÷ Electerical Resistance

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Answers

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Hope this helps!

A,C, E But if that doesnt work leave E out of it

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Answers

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Answers

Answer:

D. 4x+5x=180

Step-by-step explanation:

Answer:

D. 4x + 5x = 180

Step-by-step explanation:

The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.

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9x = 180

x = 20°

Hope that helps.