A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees.
In other words,
Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.
----------------
So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates.
Solutions
<span>Ivy has 4 tiles with pictures of plants and 5 tiles with pictures of animals. Ivy keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns another over tile without looking. What is the probability that the second tile that Ivy turns over has a plant on it. To solve the problem the first step is to find out how many tiles are in total. Since one of the plant tiles were removed we have 3 left.
</span>
5 + 3 = 8
Now we find the percent by dividing 3 from 8. The top number is called the NUMERATOR<span> and the bottom number is called the </span>DENOMINATOR<span>.</span>
3 ÷ 8 = 0.375
0.375 x 100 = 37.5
Answer = <span>37.5%
</span>
= (A)
Answer:
∠FGB = 111°
Step-by-step explanation:
FGBE is a Kite. If you draw a line segment from F to B in bisects ∠GBE and ∠GFE into two triangles. The angles of a triangle with always add up to 180°. So, in triangle FBG, ∠GFB = 45° and ∠GBF = 24°. You subtract 45 and 24 from 180 and you are left with 111°.
The second one. You can roll the dice and get a number 1-6 and heads or tails.