It is fine that you did not include the measure of angle XYZ in your posting.
This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.
It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...
But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.
In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."
So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.
So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>
Answer:
Step-by-step explanation:instead, try making the subscripts and superscripts stand out:
n-1
a = a * r
n n-1
Believe me, it's worth the extra work to do this!!
Given the sequence -3, -6, -12, -24, you can easily see that the first term,
a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.
1
So, a = -3 and r=2.
1
So the formula for this geometric sequence is
n-1
a = -3*2
n
<span>A chord divides a circle into 2 segments.
A major segment and a minor segment.
If the chord passes through the center of the circle, then it divides the circle into equal segments.</span>
$125.4 is the answer to #1
#2 im not sure how the 10% effects the problem. so i cant help you there
Answer:
13 units
given two points: (−3, −8) and (10, −8)
As the y coordinates are same.
use the method:
|x2| + |x1| where (x1, y1), (x2, y2)
Solve:
|10| + |-3|
10 + 3
13
