30 Questions
What is a part of a line that has two end points called?
Line segment
How are forces represented when drawing a diagram to study their net effect on a body?
Arrow symbols
What is the relation between the angles when rays are parallel to each other?
They are equal
What do you need to know to find the height of a tower?
Angle between the horizontal and the line of sight
In geometry, what is a part of a line with one end point called?
Ray
How is a line segment AB denoted?
|AB|
Why are angles ∠ABC and ∠ABD not considered adjacent angles in the given context?
Their noncommon arms lie on opposite sides of the common arm.
In Fig. 6.3, what are ∠ABD and ∠DBC referred to as?
Linear pair of angles
In Fig. 6.4, what are the other pair of vertically opposite angles apart from ∠AOD and ∠BOC?
∠AOC and ∠BOD
What defines intersecting lines in the context of Fig. 6.5 (i)?
Lines that extend indefinitely in both directions and cross each other.
What differentiates intersecting lines from parallel lines?
Parallel lines never touch or intersect.
Which condition must be met for two angles to be considered adjacent?
They have a common vertex and a common arm.
What is the minimum number of points required to draw a line?
Two points
In Chapter 6, what will you study about when two lines intersect?
Properties of angles
Why is a thorough knowledge of angles necessary in creating a model of a hut with bamboo sticks?
To keep some sticks parallel and some slanted
Why does an architect need knowledge of the properties of lines and angles when drawing a building layout?
To ensure accuracy in drawing intersecting and parallel lines
How do angles relate to the study of light properties in science?
Angles help in understanding the reflection and refraction of light
In geometry, what kind of reasoning is used to prove statements based on axioms?
Deductive reasoning
In a given figure, if a : b = 2 : 3 and ∠ POY = 90°, what is the value of c?
$\frac{2}{5}a$
What is the measure of angle XMB?
45°
If ∠ PQR = ∠ PRQ, what can be concluded about ∠ PQS and ∠ PRT?
They are equal
If ∠ QXM = 135°, what is the measure of ∠ MYR?
40°
Why do ∠ 2 and ∠ 3 being equal imply that Line m and Line n are parallel in the given theorem?
Corresponding angles axiom
Why is AB parallel to RS in the given scenario?
Corresponding angles are equal
What is the relationship between lines 1 and 2 in the property of parallel lines mentioned?
Corresponding
What relationship exists between BE and CG?
They are parallel
If ray YQ bisects ∠ ZYP, what can be said about ∠ XYQ and reflex ∠ QYP?
$\angle XYQ = \angle QYP$
If ∠XMY = 85°, what is the sum of ∠XMB and ∠BMY?
130°
Can lines parallel to the same line be guaranteed to always be parallel to each other?
No, not always
Why are PQ and RS parallel in Example 5?
Corresponding angles are equal
Test your understanding of adjacent angles and common arms with this quiz. Learn about the relationship between angles sharing a common vertex and arm. Identify when angles are adjacent and when they are not, based on the position of their non-common arms.
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