Analyzing Figures - SAT Subject Test in Math II
Card 0 of 5
Refer to the above diagram. Which of the following is not a valid name for 
?
Refer to the above diagram. Which of the following is not a valid name for
is the correct choice. A single letter - the vertex - can be used for an angle if and only if that angle is the only one with that vertex. This is not the case here. The three-letter names in the other choices all follow the convention of the middle letter being vertex 
and each of the other two letters being points on a different side of the angle.
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Solve for x and y using the rules of quadrilateral
Solve for x and y using the rules of quadrilateral
By using the rules of quadrilaterals we know that oppisite sides are congruent on a rhombus. Therefore, we set up an equation to solve for x. Then we will use that number and substitute it in for x and solve for y.
By using the rules of quadrilaterals we know that oppisite sides are congruent on a rhombus. Therefore, we set up an equation to solve for x. Then we will use that number and substitute it in for x and solve for y.
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Use the rules of triangles to solve for x and y.
Use the rules of triangles to solve for x and y.
Using the rules of triangles and lines we know that the degree of a straight line is 180. Knowing this we can find x by creating and solving the following equation:
Now using the fact that the interior angles of a triangle add to 180 we can create the following equation and solve for y:
Using the rules of triangles and lines we know that the degree of a straight line is 180. Knowing this we can find x by creating and solving the following equation:
Now using the fact that the interior angles of a triangle add to 180 we can create the following equation and solve for y:
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Use the facts of circles to solve for x and y.
Use the facts of circles to solve for x and y.
In this question we use the rule that oppisite angles are congruent and a line is 180 degrees. Knowing these two facts we can first solve for x then solve for y.
Then:
In this question we use the rule that oppisite angles are congruent and a line is 180 degrees. Knowing these two facts we can first solve for x then solve for y.
Then:
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Chords 
and 
intersect at point 
. 
is twice as long as 
; 
and 
.
Give the length of 
.
Chords
Give the length of
If we let 
, then 
.
The figure referenced is below (not drawn to scale):
If two chords intersect inside the circle, then the cut each other so that for each chord, the product of the lengths of the two parts is the same; in other words,
Setting 
, and solving for 
:
Taking the positive square root of both sides:
,
the correct length of 
.
If we let
The figure referenced is below (not drawn to scale):
If two chords intersect inside the circle, then the cut each other so that for each chord, the product of the lengths of the two parts is the same; in other words,
Setting
Taking the positive square root of both sides:
the correct length of
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