32 Questions
What is denoted by the symbol AB?
A line segment
When is an angle formed?
When lines or line segments meet
What is the starting point of a ray denoted by?
O
How many end points does a line have?
Infinitely many
What do you get when you extend the two end points of a line segment in either direction endlessly?
A line
What are the corners formed when two lines or line segments intersect at a point called?
Angles
What are angles formed by line segments AB and BC in Fig 5.3 (i)?
∠ABC, ∠BCA, ∠BAC
In Fig 5.3 (ii), what is the symbol used to represent the four angles formed by lines PQ and RS?
∠POS, ∠SOQ, ∠QOR, ∠ROP
How are two angles classified as complementary?
When their sum of measures is 90°
Can two acute angles be complement to each other?
No
What is the measure of the complement of a 45º angle?
90º
If the difference in the measures of two complementary angles is 12°, what are the measures of the angles?
$51°$ and $39°$
Can two obtuse angles be supplementary?
Yes
What will be the measure of the supplement of a 100º angle?
$80º$
"Among two supplementary angles the measure of the larger angle is 44o more than" what?
$44°$ greater than the smaller angle.
"What pairs of following angles are complementary?" (Fig 5.5)
(i) and (iii)
What symbol is generally used to denote a line segment?
PQ
How are corners formed when two lines or line segments intersect at a point called?
angles
What do you get when you extend the two end points of a line segment in either direction endlessly?
line
What is the starting point of a ray denoted by?
OP
When are angles formed?
when lines or line segments meet
How is a ray generally denoted?
OP
Can two obtuse angles be complementary?
No
Can two acute angles be complementary?
No
Can two right angles be complementary?
No
What is the measure of the complement of a 45º angle?
45º
What is the measure of the complement of a 65º angle?
25º
What is the measure of the complement of a 41º angle?
49º
What is the measure of the complement of a 54º angle?
36º
Can two obtuse angles be supplementary?
Yes
Can two acute angles be supplementary?
No
Can two right angles be supplementary?
No
Study Notes
Line Segments and Rays
- The symbol AB denotes a line segment.
- A ray is denoted by its starting point, such as A.
- A line is formed when the two end points of a line segment are extended in either direction endlessly.
Angles
- Angles are formed when two lines or line segments intersect at a point.
- The corners formed when two lines or line segments intersect at a point are called angles.
- In Fig 5.3 (i), angles are formed by line segments AB and BC.
- The symbol ∠ is used to represent angles.
Complementary Angles
- Two angles are classified as complementary if their sum is 90°.
- Two acute angles can be complementary.
- The measure of the complement of a 45º angle is 45º.
- If the difference in the measures of two complementary angles is 12°, then the measures of the angles are 39° and 51°.
Supplementary Angles
- Two angles are classified as supplementary if their sum is 180°.
- Two obtuse angles cannot be supplementary.
- Can two acute angles be supplementary? Yes.
- Can two right angles be supplementary? Yes.
- The measure of the supplement of a 100º angle is 80º.
- If the measure of the larger angle is 44o more than the smaller angle, then the measures of the angles are 67º and 113º.
Test your ability to identify different line segments and angles in given shapes. Determine whether the angles formed are acute, obtuse, or right. Recall the properties of line segments and angles in various figures.
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