1.
Paralleelseteks sirgeteks nimetatakse sirgeid, ....
Correct Answer
A. Mis asetsevad samal tasandil ja millel ei ole ühist punkti.
Explanation
Paralleelseteks sirgeteks nimetatakse sirgeid, mis asetsevad samal tasandil ja millel ei ole ühist punkti. This means that parallel lines are lines that are on the same plane and do not intersect each other.
2.
Lõikuvateks sirgeteks nimetatakse sirgeid, .....
Correct Answer
B. Millel on üks ühine punkt.
Explanation
Lõikuvateks sirgeteks nimetatakse sirgeid, mis asetsevad samal tasandil ja lõikuvad ühes punktis. See tähendab, et neil on vähemalt üks ühine punkt, kus nad ristuvad.
3.
Ristuvateks sirgeteks nimetatakse sirgeid, .....
Correct Answer
C. Millel on üks ühine punkt ja mis lõikuvad täisnurga all.
Explanation
The correct answer is "millel on üks ühine punkt ja mis lõikuvad täisnurga all." This means that skew lines are lines that have one common point and intersect at a right angle. Skew lines do not lie on the same plane and do not have any other points in common.
4.
Sümbolitega s II t, tähistatakse ....
Correct Answer
A. Paralleelseid sirgeid
Explanation
The correct answer is "paralleelseid sirgeid." This is because the question is asking how to symbolize parallel lines using the symbol "s II t." The symbol "s II t" is commonly used to represent parallel lines in geometry. Therefore, the correct answer is to symbolize parallel lines.
5.
Sümbolitega , tähistatakse ....
Correct Answer
B. Lõikuvaid sirgeid
Explanation
The correct answer is "lõikuvaid sirgeid" which translates to "intersecting lines" in English. This means that the symbol is used to indicate lines that cross or intersect each other.
6.
Sümbolitega , tähistatakse ....
Correct Answer
C. Ristuvaid sirgeid
Explanation
The correct answer is "ristuvaid sirgeid" which means "intersecting lines" in English. This suggests that the symbol being referred to in the question is used to indicate lines that cross each other at a point.
7.
Alloleval joonisel on kujutatud
Correct Answer
A. Paralleelseid sirgeid
Explanation
The given correct answer is "paralleelseid sirgeid" which translates to "parallel lines" in English. This suggests that the lines depicted in the figure do not intersect and are equidistant from each other at all points.
8.
Alloleval joonisel on kujutatud
Correct Answer
B. Lõikuvaid sirgeid
Explanation
The given figure shows intersecting lines. The lines in the figure cross each other at a point, indicating that they intersect. Therefore, the correct answer is "lõikuvaid sirgeid" which means intersecting lines.
9.
Alloleval joonisel on kujutatud
Correct Answer
C. Ristuvaid sirgeid
Explanation
The given figure depicts intersecting lines. The lines in the figure cross each other at a point, forming right angles. This is why the correct answer is "ristuvaid sirgeid" which translates to "intersecting lines" in English.
10.
Milline järgmistest lausetest on paralleelide aksioom?
Correct Answer
A. Väljaspool sirget asuvat punkti läbib ainult üks sirge, mis on paralleelne antud sirgega.
Explanation
The sentence "Väljaspool sirget asuvat punkti läbib ainult üks sirge, mis on paralleelne antud sirgega" states that only one line passes through a point outside the line, and that line is parallel to the given line. This statement aligns with the definition of parallel lines, which are lines that do not intersect and are equidistant at all points. Therefore, this sentence can be considered an axiom or a fundamental truth about parallel lines.
11.
Uuri allolevat joonist ja märgi ära tõesed laused.
Correct Answer(s)
A. R II v
B. Sirge u ei ole paralleelne sirgega v
C. T II s
D. Sirge t on risti sirgega v
E. Sirge t on risti sirgega r
F. Sirge s on risti sirgega r
G. Sirged u ja r lõikuvad
I. Sirge u ei ole paralleelne ühegi antud sirgega
Explanation
The given answer correctly identifies the relationships between the lines in the diagram. It states that line r is parallel to line v, line u is not parallel to line v, line t is perpendicular to line v, line t is also perpendicular to line r, line s is perpendicular to line r, lines u and r intersect, lines u and s do not intersect, line u is not parallel to any of the given lines, and line r intersects all of the given lines.
12.
Leia teoreemi "Kui kaks sirget on paralleelsed kolmandaga, siis on nad paralleelsed teineteisega." eeldus alloleva joonise põhjal.
Correct Answer
A. A II c ja b II c
Explanation
Based on the given diagram and the statement of the theorem, we can conclude that both line a and line c are parallel to line b. Similarly, both line b and line c are parallel to line a. Therefore, the correct answer is that line a is parallel to line c and line b is parallel to line c.
13.
Leia teoreemi "Kui kaks sirget on paralleelsed kolmandaga, siis on nad paralleelsed teineteisega." väide alloleva joonise põhjal.
Correct Answer
B. A II b
Explanation
Based on the given statement, "If two lines are parallel to a third line, then they are parallel to each other." In the given figure, it can be observed that line a and line b are both parallel to line c. Therefore, according to the theorem, line a and line b must also be parallel to each other.
14.
Leia teoreemi "Kui sirge lõikab ühte kahest paralleelsest sirgest, siis lõikab ta ka teist." eeldus alloleva joonise põhjal.
Correct Answer
A. Sirge c lõikab sirget a ja sirge a on paralleelne sirgega b
Explanation
Based on the given diagram and the theorem "If a line intersects one of two parallel lines, it also intersects the other," we can conclude that line c intersects line a and line a is parallel to line b.
15.
Leia teoreemi "Kui sirge lõikab ühte kahest paralleelsest sirgest, siis lõikab ta ka teist." väide alloleva joonise põhjal.
Correct Answer
B. Sirge c lõikab sirget b
Explanation
Based on the given diagram and the theorem "If a line intersects one of two parallel lines, it also intersects the other", we can conclude that the statement "sirge c lõikab sirget b" is correct. The diagram shows that line c intersects line a, which is parallel to line b. Therefore, according to the theorem, line c must also intersect line b.
16.
Leia teoreemi "Kui kaks sirget on risti ühe ja sama sirgega, siis on need sirged paralleelsed " eeldus alloleva joonise põhjal.
Correct Answer
A. Sirge a on risti sirgega c ja sirge b on risti sirgega c
Explanation
The given answer states that "sirge a is perpendicular to sirge c and sirge b is perpendicular to sirge c". This means that both sirge a and sirge b are perpendicular to the same line, sirge c. According to the given theorem, if two lines are perpendicular to the same line, then they are parallel to each other. Therefore, the answer concludes that sirge a is perpendicular to sirge c and sirge a is parallel to sirge b.
17.
Leia teoreemi "Kui kaks sirget on risti ühe ja sama sirgega, siis on need sirged paralleelsed " väide alloleva joonise põhjal.
Correct Answer
B. A II b
Explanation
Based on the given diagram, it can be observed that line a is perpendicular to line c and line b is also perpendicular to line c. This means that line a and line b are both perpendicular to the same line c. According to the theorem "If two lines are perpendicular to the same line, then they are parallel", it can be concluded that line a and line b are parallel to each other. Therefore, the correct answer is "a II b".