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Provjerite svoje znanje o cjelini ''Skupovi točaka u ravnini''
Questions and Answers
1.
Kut na slici je...
A.
šiljasti kut
B.
Tupi kut
Correct Answer A. šiljasti kut
Explanation The correct answer is "šiljasti kut" because the image shows an angle that is less than 90 degrees, which is characteristic of an acute angle or šiljasti kut in Croatian. A šiljasti kut is a type of angle that is smaller than a right angle, but larger than a straight angle.
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2.
________ kut je manji od 180 stupnjeva, a veći od 90 stupnjeva.
Correct Answer Tupi
Explanation The given statement says that the angle is smaller than 180 degrees and larger than 90 degrees. This describes a type of angle called a obtuse angle. An obtuse angle is any angle that measures greater than 90 degrees but less than 180 degrees. Therefore, the correct answer is "Tupi" which means "Obtuse" in Croatian.
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3.
Kut od 215 stupnjeva je...
A.
Pravi kut
B.
Izbočeni kut
C.
šiljasti kut
D.
Ispruženi kut
Correct Answer B. Izbočeni kut
Explanation An "izbočeni kut" in Croatian translates to a "convex angle" in English. A convex angle is an angle that is greater than 180 degrees and has its vertex pointing outwards. In contrast, a concave angle (or "šiljasti kut" in Croatian) is an angle that is less than 180 degrees and has its vertex pointing inwards. Since the given angle is described as "izbočeni kut" or convex angle, it means that the angle is greater than 180 degrees and has its vertex pointing outwards.
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4.
Dio kruga omeđen s tetivom i kružnim lukom naziva se...
A.
Kružni isječak
B.
Kružni odsječak
Correct Answer B. Kružni odsječak
Explanation A circle bounded by a chord and an arc is called a "kružni odsječak" in Croatian.
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5.
Što je prikazano na slici...
A.
Kružni vijenac
B.
Koncentrične kružnice
C.
Kružni isječak
D.
Tetiva
Correct Answer A. Kružni vijenac
Explanation The correct answer is "kružni vijenac". This suggests that the image depicts a circular wreath or ring.
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6.
_________ je dužina koja spaja dva nasuprotna vrha.
Correct Answer Dijagonala
Explanation Dijagonala je dužina koja spaja dva nasuprotna vrha.
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7.
Veličina ispruženog kuta je...
A.
60 stupnjeva
B.
360 stupnjeva
C.
90 stupnjeva
D.
180 stupnjeva
Correct Answer D. 180 stupnjeva
Explanation The correct answer is 180 degrees. In geometry, an ispruženi kut (also known as a straight angle) is formed when two rays share a common endpoint and extend in opposite directions, creating a straight line. This angle measures exactly 180 degrees, as it spans the entire straight line.
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8.
Duljina polumjera...
A.
Radijus (r)
B.
Dijametar (d)
Correct Answer A. Radijus (r)
9.
________ ima četiri stranice jednake duljine i četiri prava kuta.
Correct Answer Kvadrat
Explanation The given statement in Croatian says "______ has four sides of equal length and four right angles." The word "Kvadrat" in Croatian translates to "Square" in English. A square is a shape that has four sides of equal length and four right angles. Therefore, the correct answer is "Square."
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10.
Opseg je...
A.
Zbroj duljina stranica.
B.
Dio ravnine koji lik zauzima.
Correct Answer A. Zbroj duljina stranica.
Explanation The correct answer is "zbroj duljina stranica" which means "sum of the lengths of the sides" in English. This explanation suggests that "opseg" refers to the perimeter of a shape, which is calculated by adding up the lengths of all its sides.
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11.
Osnovna mjerna jedinica za duljinu je
A.
Decimetar (dm)
B.
Litra (l)
C.
Metar (m)
D.
Kilogram (kg)
Correct Answer C. Metar (m)
Explanation The correct answer is "metar (m)". The meter is the basic unit of length in the International System of Units (SI). It is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second. The meter is widely used in scientific and everyday measurements, such as measuring distances, lengths, and heights. It is a fundamental unit in many fields, including physics, engineering, and construction.
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12.
__________ je dio ravnine omeđen sa tri dužine.
Correct Answer Trokut
Explanation A triangle is a polygon with three sides. In the given statement, it is mentioned that "_______ is a part of a plane bounded by three sides." This indicates that the missing word should represent a shape that is formed by three sides. Therefore, the correct answer is "Trokut," which is the Croatian word for "triangle."
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13.
Vrste trokuta s obzirom na duljine stranica
A.
Raznostraničan
B.
Jednakokračan
C.
Tupokutan
D.
Jednakostraničan
E.
Pravokutan
F.
šiljastokutan
Correct Answer(s) A. Raznostraničan B. Jednakokračan D. Jednakostraničan
Explanation The given answer lists different types of triangles based on the lengths of their sides. "Raznostraničan" refers to a scalene triangle, which has all three sides of different lengths. "Jednakokračan" refers to an isosceles triangle, which has two sides of equal length. "Jednakostraničan" refers to an equilateral triangle, which has all three sides of equal length.
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14.
Točke koje pripadaju krugu.
A.
C, S, F
B.
C, S, F, E A, B
C.
A, B, S, D
D.
A, B, E, D
Correct Answer B. C, S, F, E A, B
Explanation The given answer includes the points C, S, F, E, A, and B. These points are the ones that belong to the circle.
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15.
__________ je dio ravnine omeđen kružnicom.
Correct Answer Krug
Explanation A krug je dio ravnine koji je omeđen kružnicom. U geometriji, krug se definira kao skup svih točaka u ravnini koje su jednako udaljene od središta kružnice. Dakle, krug je točno odgovor na pitanje jer je on taj koji je dio ravnine omeđen kružnicom.
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16.
Najmanji dio ravnine je...
A.
Dužina
B.
Točka
C.
Kružnica
D.
Pravac
Correct Answer B. Točka
Explanation The correct answer is "točka" which translates to "point" in English. In geometry, a point is considered the smallest and most fundamental element of a plane. It has no size, shape, or dimension, and is represented by a dot. A point is used to define the position of other geometric figures and is the building block for lines, shapes, and objects in mathematics. Therefore, a point is the smallest part of a plane.
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17.
Veličine kutova označavamo
A.
Rimskim brojevima
B.
Grčkim alfabetom
Correct Answer B. Grčkim alfabetom
Explanation The correct answer is "grčkim alfabetom". This is because angles are commonly denoted using Greek letters in mathematics and geometry. The Greek alphabet has specific letters that are used to represent different angles, such as alpha (α), beta (β), and theta (θ). Using Greek letters to represent angles helps to distinguish them from other variables or quantities in mathematical equations or diagrams.
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18.
Grana matematike koja se bavi crtanjem je _______________.
Correct Answer geometrija
Explanation The question asks for the branch of mathematics that deals with drawing, and the correct answer is "geometrija." Geometry is the study of shapes, sizes, and properties of figures and spaces, making it the most relevant branch of mathematics for drawing and visual representation.
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19.
Jesu li kutovi od 38 stupnjeva i 152 stupnja suplementarni?
A.
NE
B.
DA
Correct Answer A. NE
Explanation The question is asking if angles measuring 38 degrees and 152 degrees are supplementary. Supplementary angles are two angles that add up to 180 degrees. In this case, the given angles do not add up to 180 degrees, so they are not supplementary. Therefore, the correct answer is "NE" (NO).
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20.
Kako se zove kut sa slike?
A.
šiljasti kut
B.
Pravi kut
C.
Ispruženi kut
D.
Tupi kut
Correct Answer B. Pravi kut
Explanation The correct answer is "pravi kut" (right angle). A right angle is formed when two lines or line segments intersect and create equal angles, measuring 90 degrees. In the given question, the image depicts a right angle, which is characterized by its perpendicular lines and equal angles. The other options, šiljasti kut (acute angle), ispruženi kut (obtuse angle), and tupi kut (blunt angle), do not accurately describe the angle in the image.
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21.
Koliko iznosi sukut kuta od 137 stupnjeva?
A.
43 stupnja
B.
223 stupnja
C.
137 stupnjeva
D.
Ništa od navedenog
Correct Answer A. 43 stupnja
Explanation The question asks for the complement angle of 137 degrees. The complement angle is the angle that, when added to the given angle, will result in a total of 90 degrees. To find the complement angle, subtract the given angle from 90 degrees. In this case, 90 - 137 = -47 degrees. Since angles cannot be negative, the correct answer is "ništa od navedenog" which means "none of the above".