Answer:
- reflection, then translation
- rotation, then translation
Step-by-step explanation:
When the points designating each triangle are considered in order, they are seen to be in clockwise order. Segment FG is oriented to the west, while corresponding segment VW is oriented to the east. This means the figure could have been rotated 180° or reflected across a point. Either way, some translation may be necessary to align the figures as shown.
Possible transformations include ...
- reflection across a point, then translation (depending on the location of the point)
- rotation 180° about a point, then translation (depending on the location of the point)
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If one of the triangles is reflected across the midpoint of GW, it will coincide with the other triangle. Hence only one reflection across a chosen point is required. Of course, reflection across a point is identical to rotation 180° about that point. For any other point of reflection or rotation, translation will be involved.
1. A 1.0 minute
Range can be calculated by subtracting 3.0 mins - 2.0 mins = 1.0 minute.
2. D. 4
Joel was faster than Gunner in meets 1, 2, 3 and 4.
3. B. 1.75 minutes
Gunner has consistent improvement at intervals of 0.25 minutes per meet. Subtracting 2.0 mins by 0.25 mins we get 1.75 minutes.
Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:

That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator
Answer:
(2,5)
Step-by-step explanation:
It's the coordinates of the point where the lines cross