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spin [16.1K]
3 years ago
14

Match each statement in the proof with the correct reason.

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.    

<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.

<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

       Statement                          Reason

1. ABCD is a parallelogram  -  Given

2. \overline{AB}\parallel \overline {CD}                           -  Definition of parallelogram

3. \overline{AD} is a diagonal of \overline{AB} and \overline{CD} - Definition of diagonal

4.  \angle A and \angle D are the same side interior angles - Definition of same-side interior angles

5.  \angle A is supplementary to  \angle D - Same-Side Interior Angles Theorem

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Step-by-step explanation:

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Kate is at a T-shirt sale where she can buy one and get a second one for 30% off. She wants to buy two T-shirts listed at $19 ea
gladu [14]
So in this problem we can state that each T-shirt costs S19 each. And if Kate buys two she gets a 30% off with the second shirt she buys. <span>And how much will she pay?

Solution:</span> <span><span>
1.       </span>19 for each t-shirt</span> <span><span>
2.       </span>Total of $38 if not provided with 30% off</span> 
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3 0
4 years ago
I need help I’m struggling
andrew-mc [135]
All you need for a point to be left unchanged is it being on the line of reflection. (Generally speaking)

The first one is wrong cause you can have a line of reflection anywhere. If the line is horizontal ( x axis) then the slope would be zero. Whereas a line on y axis would be an undefined slope. There are also diagonal lines of reflections which have slopes

I am pretty sure the second one would be correct because, as previously stated, all the line needs to stay in the same place is it being on the line of reflection.

Again, lines of reflection do not have a set slope, a diagonal line of reflection going like / on the chart through the axis could have a slope of one, but it is not needed for the point to remain in the same place

The point does not necessarily need to be on the origin, it can be anywhere on the line of reflection, and if the line of reflection does not pass through the origin, a point on the origin would be moved in a reflection.

I hope this makes sense and helps you out a bit... have a good day
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3 years ago
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harina [27]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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