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1. Which of the following statements is true?
A. A scalene triangle has three congruent sides.
B. A scalene triangle has exactly two congruent
sides.
Special triangles
Question # 26
C. An equilateral triangle has exactly two
congruent sides.
4.1.1 Identify the attributes of
special triangles (isosceles,
equilateral, right)
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D. An equilateral triangle is also an Isosceles
triangle.
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To do problems like these, you need to look at all the
answers, and know the definition of each type of special
triangle listed, then select the correct one.
2. Which of the following statements is true?
Scalene triangle – has no congruent sides.
B. All angles in a scalene triangle are different.
Isosceles triangle – at least 2 congruent sides.
C. An equilateral triangle has exactly two
congruent sides.
Equilateral triangle – has 3 congruent sides. Also
an equilateral triangle is also a equiangular triangle.
Right triangle – one angle is 90°.
A. A scalene triangle has two congruent sides.
D. An isosceles triangle is also an equilateral
triangle.
Acute triangle – all angles are less than 90°.
90°.
Obtuse
triangle – one angle is greater than worksheets
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Example: Which of the following statements is true?
3. Which of the following statements is true?
A. A scalene triangle has no congruent sides.
A. A scalene triangle has three congruent sides.
True – a scalene triangle has no congruent sides.
B. A scalene triangle has exactly two congruent
sides. False- a scalene triangle has no congruent sides
B. A scalene triangle has exactly two congruent
sides.
C. An equilateral triangle has exactly two
congruent sides. False it has exactly 3
C. All sides of an equilateral triangle are
congruent.
D. An isosceles triangle is also an equilateral
triangle. False – an isosceles may only have 2 congruent sides, and
D. An isosceles triangle is also an equilateral
triangle.
equilateral triangle has to have 3
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4. Which of the following statements is not true.
7. Which of the following is not true?
A. The longest side of a right triangle is opposite
the 90° angle.
A. None of the sides of a scalene triangle are
congruent.
B. The sum of the lengths of the two legs of a
right triangle is always greater than the
hypotenuse.
B. None of the angles of a scalene triangle are
congruent.
C. It is possible to have an acute right triangle.
D. It is possible to have an obtuse right triangle.
C. The sum of the angles of an obtuse scalene
triangle will always be greater than the sum of
the angles in an acute triangle.
D. A scalene triangle can be acute or obtuse.
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5. Which of the following statements is not
true?
8. Which of the following statements is true?
A. A equilateral triangle has no congruent sides.
A. An equilateral triangle is also an isosceles
triangle.
B. An isosceles triangle is also an equilateral
triangle.
C. An isosceles triangle has at least two
congruent sides.
B. An isosceles triangle has at least two
congruent sides.
C. An equilateral triangle has exactly two
congruent sides.
D. An isosceles triangle is also an equilateral
triangle.
D. An isosceles triangle has at least two
congruent angles.
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6. Which of the following is not true?
9. Which of the following statements is true?
A. An equilateral triangle has exactly two
congruent sides.
A. A scalene triangle has three congruent sides.
B. A scalene triangle has exactly two congruent
sides.
B. An equilateral triangle has two congruent
sides.
C. An equilateral triangle has three congruent
sides.
D. An equilateral triangle has three congruent
angles.
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C. An equilateral triangle has exactly three
congruent sides.
D. A scalene triangle is also an Isosceles
triangle.
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10. Which of the following statements is true?
A. A scalene triangle has no congruent sides.
B. All angles in a scalene triangle are the same.
C. An equilateral triangle has exactly two
congruent sides.
13. Which of the following statements is not
true?
A. An equilateral triangle is also a isosceles
triangle.
B. An equilateral triangle is also an equiangular
triangle.
D. An isosceles triangle is also an scalene
triangle.
C. An isosceles triangle has at least two
congruent sides.
D. An isosceles triangle has three congruent
angles.
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11. Which of the following statements is true?
14. Which of the following is not true?
A. A scalene triangle has three congruent sides.
A. An equilateral triangle has exactly two
congruent sides.
B. A scalene triangle has no sides congruent.
B. An equilateral triangle has two congruent
sides.
C. All sides of an equilateral triangle are
different.
D. An isosceles triangle is also an equilateral
triangle.
C. An equilateral triangle has three congruent
sides.
D. An equilateral triangle has three congruent
angles.
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12. Which of the following statements is not true.
15. Which of the following is not true?
A. The longest side of a right triangle is opposite
the 90° angle.
A. None of the sides of a scalene triangle are
congruent.
B. The sum of the lengths of the two legs of a
right triangle is always smaller than the
hypotenuse.
B. All of the angles of a scalene triangle are
congruent.
C. It is possible to have an acute right triangle.
D. It is possible to have an isosceles right
triangle.
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D. A scalene triangle can be acute or obtuse.
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C. The sum of the angles of an obtuse scalene
triangle will always be the same as the sum of
the angles in an acute triangle.
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16. Which of the following is not true?
19. Which of the following statements is true?
A. The sum of the angles of an acute triangle will
always be smaller than the sum of the angles of an
obtuse triangle.
A. A scalene triangle has three congruent sides.
B. The sum of the angles of a right triangle will be
greater than the sum of the angles of an acute triangle.
C. The sum of the angles of a right triangle is always
smaller than the sum of the angles of an acute triangle.
D. All three A, B, and C
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B. A scalene triangle has exactly two congruent
sides.
C. An equilateral triangle has exactly two
congruent sides.
D. An equilateral triangle is also a isosceles
triangle.
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17. Which of the following statements is not true?
Question # 26 answers
Special triangles
A. No sides of a scalene triangle are congruent.
B. A scalene triangle has exactly two congruent
sides.
C. An equilateral triangle has three congruent
sides.
D. An equilateral triangle is also an Isosceles
triangle.
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1. D
5. B
9. C
13. D
17. B
2. B
6. A
10. A
14. A
18. D
3. C
7. C
11. B
15. B
19. D
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4. D
8. B
12. B
16. D
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18. Which of the following statements is not true?
A. An isosceles triangle has two congruent sides.
B. All angles in a scalene triangle are different.
C. An equilateral triangle has exactly three
congruent sides.
D. An isosceles triangle is also an equilateral
triangle.
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