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DochEvi [55]
3 years ago
12

Quadrilateral CDEF is reflected across the x-axis and translated 3 units left to create quadrilateral GHJK .

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer- KG⎯∥JH⎯

the given figure is a trapezium in which CF||DE

Reflection of figure CDEF and shifting it by 3 units does not change the shape of the figure but changes only its position in the x-y plane.

so, the shape of the figure GHJK will be same as that of CDEF.

so sides, KG⎯∥JH⎯

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If anyone knows the answer to these can u please help? thank you! :)
Dennis_Churaev [7]

Answers:

  • A) Ray QS or Ray QR
  • B)  Line segment QS or SQ
  • C)  Plane QSR
  • D)  Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

  1. Line QR
  2. Line QS
  3. Line RQ
  4. Line RS
  5. Line SQ
  6. Line SR
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Ivahew [28]
First, we need to get all of the r's on the same side.  To do this, we need to subtract "r" from both sides.

0.25r - 0.125 + 0.5r - r = 0.5 + r - r

0.25r - 0.125 +0.5r - r = 0.5

Now, we need to add like terms.

0.25r + 0.5r - r - 0.125 = 0.5

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Now, we need to get the "r" variable by itself.

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Now, we divide both sides by -0.25

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