Adjacent Angles and Common Arms Quiz

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What is a part of a line that has two end points called?

Ray

Refraction

Line segment (correct)

Angle

How are forces represented when drawing a diagram to study their net effect on a body?

Circular shapes

Arrow symbols (correct)

Dotted lines

Numbers

What is the relation between the angles when rays are parallel to each other?

They are complementary

They are equal (correct)

They are supplementary

They are vertical angles

What do you need to know to find the height of a tower?

Angle between the horizontal and the line of sight Signup and view all the answers

In geometry, what is a part of a line with one end point called?

Ray Signup and view all the answers

How is a line segment AB denoted?

|AB| Signup and view all the answers

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. Signup and view all the answers

In Fig. 6.3, what are ∠ABD and ∠DBC referred to as?

Linear pair of angles Signup and view all the answers

In Fig. 6.4, what are the other pair of vertically opposite angles apart from ∠AOD and ∠BOC?

∠AOC and ∠BOD Signup and view all the answers

What defines intersecting lines in the context of Fig. 6.5 (i)?

Lines that extend indefinitely in both directions and cross each other. Signup and view all the answers

What differentiates intersecting lines from parallel lines?

Parallel lines never touch or intersect. Signup and view all the answers

Which condition must be met for two angles to be considered adjacent?

They have a common vertex and a common arm. Signup and view all the answers

What is the minimum number of points required to draw a line?

Two points Signup and view all the answers

In Chapter 6, what will you study about when two lines intersect?

Properties of angles Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

How do angles relate to the study of light properties in science?

Angles help in understanding the reflection and refraction of light Signup and view all the answers

In geometry, what kind of reasoning is used to prove statements based on axioms?

Deductive reasoning Signup and view all the answers

In a given figure, if a : b = 2 : 3 and ∠ POY = 90°, what is the value of c?

$\frac{2}{5}a$ Signup and view all the answers

What is the measure of angle XMB?

45° Signup and view all the answers

If ∠ PQR = ∠ PRQ, what can be concluded about ∠ PQS and ∠ PRT?

They are equal Signup and view all the answers

If ∠ QXM = 135°, what is the measure of ∠ MYR?

40° Signup and view all the answers

Why do ∠ 2 and ∠ 3 being equal imply that Line m and Line n are parallel in the given theorem?

Corresponding angles axiom Signup and view all the answers

Why is AB parallel to RS in the given scenario?

Corresponding angles are equal Signup and view all the answers

What is the relationship between lines 1 and 2 in the property of parallel lines mentioned?

Corresponding Signup and view all the answers

What relationship exists between BE and CG?

They are parallel Signup and view all the answers

If ray YQ bisects ∠ ZYP, what can be said about ∠ XYQ and reflex ∠ QYP?

$\angle XYQ = \angle QYP$ Signup and view all the answers

If ∠XMY = 85°, what is the sum of ∠XMB and ∠BMY?

130° Signup and view all the answers

Can lines parallel to the same line be guaranteed to always be parallel to each other?

No, not always Signup and view all the answers

Why are PQ and RS parallel in Example 5?