Q. If two chords in a circle intersect each other, what is the relationship between the segments of the chords?
A.
The segments are equal
B.
The product of the segments is equal
C.
The sum of the segments is equal
D.
The segments are perpendicular
Show solution
Solution
The intersecting chords theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Correct Answer:
B
— The product of the segments is equal
Learn More →
Q. If two triangles are similar, what is true about their corresponding sides?
A.
They are equal in length
B.
They are proportional
C.
They are perpendicular
D.
They are congruent
Show solution
Solution
In similar triangles, the lengths of corresponding sides are proportional.
Correct Answer:
B
— They are proportional
Learn More →
Q. In triangle DEF, if DE = 5 cm, EF = 12 cm, and DF = 13 cm, is the triangle a right triangle?
A.
Yes
B.
No
C.
Not enough information
D.
Only if angles are known
Show solution
Solution
Using the Pythagorean theorem, 5² + 12² = 25 + 144 = 169 = 13², thus triangle DEF is a right triangle.
Correct Answer:
A
— Yes
Learn More →
Q. What is the length of the hypotenuse of a right triangle with legs of lengths 3 cm and 4 cm?
A.
5 cm
B.
6 cm
C.
7 cm
D.
8 cm
Show solution
Solution
Using the Pythagorean theorem, c² = a² + b², we have c² = 3² + 4² = 9 + 16 = 25, thus c = 5 cm.
Correct Answer:
A
— 5 cm
Learn More →
Q. What is the length of the radius of a circle if its area is 100π cm²?
A.
10 cm
B.
5 cm
C.
20 cm
D.
15 cm
Show solution
Solution
Using the area formula A = πr², we set 100π = πr², leading to r² = 100, thus r = 10 cm.
Correct Answer:
A
— 10 cm
Learn More →
Q. What is the length of the radius of a circle if its area is 36π cm²?
A.
6 cm
B.
12 cm
C.
18 cm
D.
9 cm
Show solution
Solution
Using the area formula A = πr², we have 36π = πr², thus r² = 36, and r = 6 cm.
Correct Answer:
A
— 6 cm
Learn More →
Q. What is the measure of the angle subtended by a diameter of a circle at any point on the circle?
A.
90 degrees
B.
60 degrees
C.
45 degrees
D.
180 degrees
Show solution
Solution
According to the inscribed angle theorem, the angle subtended by a diameter at any point on the circle is always 90 degrees.
Correct Answer:
A
— 90 degrees
Learn More →
Q. What is the relationship between the angles of two parallel lines cut by a transversal?
A.
They are all equal
B.
They are supplementary
C.
They are complementary
D.
They are congruent
Show solution
Solution
When two parallel lines are cut by a transversal, the interior angles on the same side are supplementary.
Correct Answer:
B
— They are supplementary
Learn More →
Showing 1 to 8 of 8 (1 Pages)
