Q. If a circle has a radius of 5 cm, what is the length of a chord that is 4 cm away from the center of the circle?
A.
3 cm
B.
4 cm
C.
6 cm
D.
8 cm
Show solution
Solution
Using the Pythagorean theorem, the length of the chord can be calculated as 2 * sqrt(5^2 - 4^2) = 6 cm.
Correct Answer:
C
— 6 cm
Learn More →
Q. If a circle has a radius of 5 cm, what is the length of a chord that is 4 cm away from the center?
A.
3 cm
B.
4 cm
C.
6 cm
D.
8 cm
Show solution
Solution
Using the Pythagorean theorem, the length of the chord is 2√(5^2 - 4^2) = 2√9 = 6 cm.
Correct Answer:
A
— 3 cm
Learn More →
Q. If a circle has a radius of 5 cm, what is the length of a chord that is 6 cm away from the center?
A.
4 cm
B.
6 cm
C.
8 cm
D.
10 cm
Show solution
Solution
Using the Pythagorean theorem, the length of the chord can be calculated as 2 * sqrt(5^2 - 6^2) = 2 * sqrt(25 - 36) = 2 * sqrt(-11), which is not possible. The chord cannot exist.
Correct Answer:
A
— 4 cm
Learn More →
Q. If a line segment is drawn from the center of a circle to the midpoint of a chord, what can be said about this line segment?
A.
It is perpendicular to the chord.
B.
It bisects the chord.
C.
It is the radius.
D.
It is the diameter.
Show solution
Solution
A line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.
Correct Answer:
A
— It is perpendicular to the chord.
Learn More →
Q. If a transversal intersects two parallel lines, what is the sum of the interior angles on the same side of the transversal?
A.
90 degrees
B.
180 degrees
C.
360 degrees
D.
It varies.
Show solution
Solution
The interior angles on the same side of the transversal are supplementary, summing to 180 degrees.
Correct Answer:
B
— 180 degrees
Learn More →
Q. If two angles are alternate exterior angles when two parallel lines are cut by a transversal, what can be concluded?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are adjacent.
Show solution
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal.
Correct Answer:
A
— They are equal.
Learn More →
Q. If two angles are corresponding angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
A.
They are equal.
B.
They are complementary.
C.
They are supplementary.
D.
They are not related.
Show solution
Solution
Corresponding angles are equal when a transversal intersects two parallel lines.
Correct Answer:
A
— They are equal.
Learn More →
Q. If two angles are corresponding angles when two parallel lines are cut by a transversal, what can be concluded?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are adjacent.
Show solution
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal.
Correct Answer:
A
— They are equal.
Learn More →
Q. If two angles are supplementary and one angle measures 40 degrees, what is the measure of the other angle?
A.
40 degrees
B.
50 degrees
C.
140 degrees
D.
180 degrees
Show solution
Solution
Supplementary angles add up to 180 degrees, so the other angle measures 180 - 40 = 140 degrees.
Correct Answer:
C
— 140 degrees
Learn More →
Q. In a circle, if a chord is perpendicular to a radius at its endpoint, what can be said about the chord?
A.
It is the longest chord.
B.
It is a diameter.
C.
It bisects the circle.
D.
It is bisected by the radius.
Show solution
Solution
A radius that is perpendicular to a chord bisects the chord.
Correct Answer:
D
— It is bisected by the radius.
Learn More →
Q. In a circle, if a radius and a tangent meet at a point, what is the angle between them?
A.
0 degrees.
B.
90 degrees.
C.
180 degrees.
D.
45 degrees.
Show solution
Solution
The angle between a radius and a tangent at the point of contact is always 90 degrees.
Correct Answer:
B
— 90 degrees.
Learn More →
Q. In a circle, if the measure of an inscribed angle is 40 degrees, what is the measure of the arc it intercepts?
A.
20 degrees
B.
40 degrees
C.
80 degrees
D.
160 degrees
Show solution
Solution
The measure of the arc intercepted by an inscribed angle is twice the measure of the angle, so it is 40 * 2 = 80 degrees.
Correct Answer:
C
— 80 degrees
Learn More →
Q. In a circle, if two chords intersect at a point inside the circle, what is the relationship between the angles formed?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are not related.
Show solution
Solution
The angles formed by two intersecting chords are equal.
Correct Answer:
B
— They are supplementary.
Learn More →
Q. In a circle, if two chords intersect inside the circle, what is the relationship between the angles formed?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are adjacent.
Show solution
Solution
The angles formed by two intersecting chords inside a circle are supplementary.
Correct Answer:
B
— They are supplementary.
Learn More →
Q. In triangle ABC, if angle A is 50 degrees and angle B is 60 degrees, what is the measure of angle C?
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
Show solution
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.
Correct Answer:
A
— 70 degrees
Learn More →
Q. What is the measure of an angle formed by a tangent and a chord through the point of contact?
A.
Equal to the angle subtended by the chord at the center.
B.
Equal to the angle subtended by the chord at the circumference.
C.
Supplementary to the angle subtended by the chord.
D.
Equal to twice the angle subtended by the chord.
Show solution
Solution
The angle formed by a tangent and a chord through the point of contact is equal to the angle subtended by the chord at the circumference.
Correct Answer:
B
— Equal to the angle subtended by the chord at the circumference.
Learn More →
Q. What is the measure of an angle formed by two tangents drawn from a point outside a circle?
A.
Half the difference of the intercepted arcs.
B.
Half the sum of the intercepted arcs.
C.
Equal to the intercepted arc.
D.
Equal to the radius.
Show solution
Solution
The angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs.
Correct Answer:
A
— Half the difference of the intercepted arcs.
Learn More →
Q. What is the measure of each angle formed by two parallel lines cut by a transversal if one angle measures 75 degrees?
A.
75 degrees
B.
105 degrees
C.
180 degrees
D.
90 degrees
Show solution
Solution
The corresponding angle will measure 75 degrees, and the alternate interior angle will measure 105 degrees.
Correct Answer:
B
— 105 degrees
Learn More →
Q. What is the sum of the interior angles of a triangle formed by two intersecting chords in a circle?
A.
90 degrees.
B.
180 degrees.
C.
360 degrees.
D.
270 degrees.
Show solution
Solution
The sum of the interior angles of any triangle is always 180 degrees.
Correct Answer:
B
— 180 degrees.
Learn More →
Showing 1 to 19 of 19 (1 Pages)
