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Tangent in Circle

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Tangent in Circle
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Is segment AB tangent to this circle?

Yes

No

Not enough information

Tags

CCSS.HSG.C.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What kind of angle does this tangent line and radius form?

Acute

Obtuse

Vertical

Right

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the tangent line in the given circle: (x-3)^2 + (y+4)^2 = 25

The tangent line is perpendicular to the radius

The tangent line is always a straight line passing through the center of the circle

The tangent line is parallel to the x-axis

The tangent line to the circle can be found using the point of tangency and the slope of the radius at that point.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apply the tangent-secant theorem to find the value of x: The tangent to a circle at point P is parallel to a secant passing through points P and Q. If the length of the secant from P to Q is 12 units and the length of the tangent segment from P to the point of contact with the circle is 8 units, find the value of x.

6

10

4

12

Tags

CCSS.HSG.C.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Using the properties of tangents, solve for x: Two circles with radii 5 and 8 units are externally tangent to each other. If the distance between their centers is 13 units, find the length of the common external tangent.

12

5

10

20

Tags

CCSS.HSG.C.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a tangent to a circle at point A is perpendicular to a radius drawn to the point of contact, what can you conclude about the triangle formed by the tangent, the radius, and the line segment joining the center of the circle to point A?

Equilateral triangle

Right-angled triangle

Obtuse-angled triangle

Isosceles triangle

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the length of the tangent segment from a point 10 units away from the center of the circle with a radius of 15 units.

12 units

25 units

17 units

5 units

Tags

CCSS.HSG.C.A.2

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