Adjacent Angles and Common Arms Quiz
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Questions and Answers

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?

    <p>Angle between the horizontal and the line of sight</p> Signup and view all the answers

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

    <p>Ray</p> Signup and view all the answers

    How is a line segment AB denoted?

    <p>|AB|</p> Signup and view all the answers

    Why are angles ∠ABC and ∠ABD not considered adjacent angles in the given context?

    <p>Their noncommon arms lie on opposite sides of the common arm.</p> Signup and view all the answers

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

    <p>Linear pair of angles</p> Signup and view all the answers

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

    <p>∠AOC and ∠BOD</p> Signup and view all the answers

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

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

    What differentiates intersecting lines from parallel lines?

    <p>Parallel lines never touch or intersect.</p> Signup and view all the answers

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

    <p>They have a common vertex and a common arm.</p> Signup and view all the answers

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

    <p>Two points</p> Signup and view all the answers

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

    <p>Properties of angles</p> Signup and view all the answers

    Why is a thorough knowledge of angles necessary in creating a model of a hut with bamboo sticks?

    <p>To keep some sticks parallel and some slanted</p> Signup and view all the answers

    Why does an architect need knowledge of the properties of lines and angles when drawing a building layout?

    <p>To ensure accuracy in drawing intersecting and parallel lines</p> Signup and view all the answers

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

    <p>Angles help in understanding the reflection and refraction of light</p> Signup and view all the answers

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

    <p>Deductive reasoning</p> Signup and view all the answers

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

    <p>$\frac{2}{5}a$</p> Signup and view all the answers

    What is the measure of angle XMB?

    <p>45°</p> Signup and view all the answers

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

    <p>They are equal</p> Signup and view all the answers

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

    <p>40°</p> 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?

    <p>Corresponding angles axiom</p> Signup and view all the answers

    Why is AB parallel to RS in the given scenario?

    <p>Corresponding angles are equal</p> Signup and view all the answers

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

    <p>Corresponding</p> Signup and view all the answers

    What relationship exists between BE and CG?

    <p>They are parallel</p> Signup and view all the answers

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

    <p>$\angle XYQ = \angle QYP$</p> Signup and view all the answers

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

    <p>130°</p> Signup and view all the answers

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

    <p>No, not always</p> Signup and view all the answers

    Why are PQ and RS parallel in Example 5?

    <p>Corresponding angles are equal</p> Signup and view all the answers

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