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 (A)</p> Signup and view all the answers

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

<p>Ray (B)</p> Signup and view all the answers

How is a line segment AB denoted?

<p>|AB| (D)</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. (C)</p> Signup and view all the answers

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

<p>Linear pair of angles (A)</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 (A)</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. (B)</p> Signup and view all the answers

What differentiates intersecting lines from parallel lines?

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

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

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

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

<p>Properties of angles (B)</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 (D)</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 (D)</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 (C)</p> Signup and view all the answers

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

<p>Deductive reasoning (C)</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>$\frac{2}{5}a$ (C)</p> Signup and view all the answers

What is the measure of angle XMB?

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

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

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

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

<p>40° (B)</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 (C)</p> Signup and view all the answers

Why is AB parallel to RS in the given scenario?

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

What relationship exists between BE and CG?

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

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

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

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

<p>130° (C)</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 (B)</p> Signup and view all the answers

Why are PQ and RS parallel in Example 5?

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

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