Get detailed and accurate answers to your questions on IDNLearn.com. Ask anything and receive thorough, reliable answers from our community of experienced professionals.
Sagot :
Certainly! Let's answer each question step-by-step.
### Question 10:
What do you call the 2 coplanar angles that have a common side and a common vertex, but no common interior point?
- A. adjacent angles
- B. congruent angles
- C. supplementary angles
- D. complementary angles
Answer:
The correct answer is A. adjacent angles. Adjacent angles share a common side and a common vertex but do not overlap; hence, they have no common interior points.
### Question 11:
Which of the following angle pairs is always supplementary?
- A. adjacent angles
- B. vertical angles
- C. linear pair
- D. congruent angles
Answer:
The correct answer is C. linear pair. A linear pair consists of two adjacent angles whose non-common sides form a straight line, thus always summing to 180°, making them supplementary.
### Question 12:
What do you call coplanar lines that do not intersect?
- A. parallel lines
- B. intersecting lines
- C. perpendicular lines
- D. congruent lines
Answer:
The correct answer is A. parallel lines. Parallel lines are coplanar lines that do not meet, however far they are extended.
### Question 13:
Which of the following statements about an isosceles triangle is always true?
- A. It has two congruent sides.
- B. It is also an acute triangle.
- C. It is also a right triangle.
- D. It has one diagonal.
Answer:
The correct answer is A. It has two congruent sides. This is the defining property of an isosceles triangle - having exactly two sides of equal length.
### Question 14:
Which of the following descriptions about a quadrilateral is NOT true?
- A. It has 4 sides.
- B. It has 4 angles.
- C. It has 4 vertices.
- D. It has 4 diagonals
Answer:
The correct answer is D. It has 4 diagonals. A quadrilateral has only two diagonals, not four. The other three options correctly describe a quadrilateral.
### Question 15:
Which is the measure of each interior angle of a regular decagon?
- A. 80°
- C. 180°
- D. 360°
- B. 144°
Answer:
The correct answer is B. 144°. A regular decagon (a ten-sided polygon) has each interior angle measuring 144°. This can be derived using the formula for an interior angle of a regular polygon, [tex]\(\frac{(n-2) \times 180°}{n}\)[/tex].
Thus, the answers to the questions are as follows:
10. A
11. C
12. A
13. A
14. D
15. B
### Question 10:
What do you call the 2 coplanar angles that have a common side and a common vertex, but no common interior point?
- A. adjacent angles
- B. congruent angles
- C. supplementary angles
- D. complementary angles
Answer:
The correct answer is A. adjacent angles. Adjacent angles share a common side and a common vertex but do not overlap; hence, they have no common interior points.
### Question 11:
Which of the following angle pairs is always supplementary?
- A. adjacent angles
- B. vertical angles
- C. linear pair
- D. congruent angles
Answer:
The correct answer is C. linear pair. A linear pair consists of two adjacent angles whose non-common sides form a straight line, thus always summing to 180°, making them supplementary.
### Question 12:
What do you call coplanar lines that do not intersect?
- A. parallel lines
- B. intersecting lines
- C. perpendicular lines
- D. congruent lines
Answer:
The correct answer is A. parallel lines. Parallel lines are coplanar lines that do not meet, however far they are extended.
### Question 13:
Which of the following statements about an isosceles triangle is always true?
- A. It has two congruent sides.
- B. It is also an acute triangle.
- C. It is also a right triangle.
- D. It has one diagonal.
Answer:
The correct answer is A. It has two congruent sides. This is the defining property of an isosceles triangle - having exactly two sides of equal length.
### Question 14:
Which of the following descriptions about a quadrilateral is NOT true?
- A. It has 4 sides.
- B. It has 4 angles.
- C. It has 4 vertices.
- D. It has 4 diagonals
Answer:
The correct answer is D. It has 4 diagonals. A quadrilateral has only two diagonals, not four. The other three options correctly describe a quadrilateral.
### Question 15:
Which is the measure of each interior angle of a regular decagon?
- A. 80°
- C. 180°
- D. 360°
- B. 144°
Answer:
The correct answer is B. 144°. A regular decagon (a ten-sided polygon) has each interior angle measuring 144°. This can be derived using the formula for an interior angle of a regular polygon, [tex]\(\frac{(n-2) \times 180°}{n}\)[/tex].
Thus, the answers to the questions are as follows:
10. A
11. C
12. A
13. A
14. D
15. B
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.