Online Test — Basic Geometry
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
How many endpoints does a line segment have?
0
1
2
Infinite
Explanation: A line segment is bounded by two fixed endpoints.
Question 2 of 10
What type of angle measures exactly \(180^\circ\)?
Right
Straight
Reflex
Obtuse
Explanation: A straight angle forms a perfectly flat line of \(180^\circ\).
Question 3 of 10
If an angle measures \(63^\circ\), what is its complement?
\(27^\circ\)
\(37^\circ\)
\(117^\circ\)
\(127^\circ\)
Explanation: Complementary angles sum to \(90^\circ\); \(90 - 63 = 27^\circ\).
Question 4 of 10
Find the supplement of an angle measuring \(105^\circ\).
\(15^\circ\)
\(75^\circ\)
\(85^\circ\)
\(1 sistema\)
Explanation: Supplementary angles sum to \(180^\circ\); \(180 - 105 = 75^\circ\).
Question 5 of 10
Two lines cross. If one angle is \(42^\circ\), what is its vertically opposite angle?
\(42^\circ\)
\(48^\circ\)
\(138^\circ\)
\(318^\circ\)
Explanation: Vertically opposite angles are always equal to each other.
Question 6 of 10
Which of the following is required for two angles to be adjacent?
Equal measures
Sum of \(90^\circ\)
A common vertex
Overlapping paths
Explanation: Adjacent angles must share a vertex and a common side.
Question 7 of 10
If two angles are supplementary and equal, what is the measure of each?
\(45^\circ\)
\(90^\circ\)
\(180^\circ\)
\(360^\circ\)
Explanation: If \(x + x = 180^\circ\), then \(2x = 180^\circ \implies x = 90^\circ\).
Question 8 of 10
An angle measures \(215^\circ\). How is this angle classified?
Obtuse
Straight
Reflex
Complete
Explanation: Angles between \(180^\circ\) and \(360^\circ\) are reflex angles.
Question 9 of 10
If the sum of two adjacent angles is \(180^\circ\), they form a:
Right angle
Linear pair
Vertical pair
Complement
Explanation: A linear pair consists of adjacent supplementary angles.
Question 10 of 10
If an angle is equal to its complement, what is its value?
\(30^\circ\)
\(45^\circ\)
\(60^\circ\)
\(90^\circ\)
Explanation: If \(x = 90 - x\), then \(2x = 90 \implies x = 45^\circ\).