Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
its center. She will then perform the following steps.
Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.
Step 2: Draw a second diameter through the center. Label the points at which the second diameter touches the circle as C and D.
Step 3: Join the end points of the two diameters to form a square.
What is the error in Lara's construction?
A. Show a diameter that did not pass through the center of the circle
B. She uses straightedge and not a compass to draw the diameter of the circle
C. She did not ensure that the second diameter was perpendicular to the first diameter
D. She did not ensure that the second diameter had the same length as the first diameter
Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.
Step 2: Draw a second diameter through the center. Label the points at which the second diameter touches the circle as C and D.
Step 3: Join the end points of the two diameters to form a square.
What is the error in Lara's construction?
A. Show a diameter that did not pass through the center of the circle
B. She uses straightedge and not a compass to draw the diameter of the circle
C. She did not ensure that the second diameter was perpendicular to the first diameter
D. She did not ensure that the second diameter had the same length as the first diameter
1 answer:
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a) The equation of line k is:
b) The equation of line j is:
The equation of a line, in <u>slope-intercept formula</u>, is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:
In which and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:
- The tangent of 109 degrees is
- Thus, the slope of line m is found solving the following equation:
Thus:
It goes through point (-2,6), that is, when , and this is used to find b.
Thus. the equation of line k, in slope-intercept formula, is:
Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:
Then
Also goes through point (-2,6), thus:
The equation of line j is:
A similar problem is given at brainly.com/question/16302622
