Podcast
Questions and Answers
Which statement accurately describes a right triangle?
Which statement accurately describes a right triangle?
- One angle is exactly 90 degrees, and the side opposite it is the hypotenuse. (correct)
- All sides are of equal length.
- All angles are less than 90 degrees.
- One angle is greater than 90 degrees.
Which of the following is a property of an isosceles triangle?
Which of the following is a property of an isosceles triangle?
- At least two sides are equal in length, and the angles opposite these sides are equal. (correct)
- All three angles are different.
- All three sides are of different lengths.
- All three sides are equal in length, and each angle measures 60 degrees.
How does a rhombus differ from a parallelogram?
How does a rhombus differ from a parallelogram?
- A rhombus has four right angles, while a parallelogram does not.
- The diagonals of a rhombus are equal in length, not in a parallelogram.
- A rhombus has all sides equal in length, while a parallelogram does not necessarily. (correct)
- A rhombus has only one pair of parallel sides, while a parallelogram has two.
Which of the following statements is true about the diagonals of a rectangle?
Which of the following statements is true about the diagonals of a rectangle?
What defines a trapezoid?
What defines a trapezoid?
Flashcards
Acute Triangle
Acute Triangle
A triangle with all angles less than 90 degrees.
Right Triangle
Right Triangle
A triangle with one angle exactly 90 degrees, the hypotenuse is the longest side.
Equilateral Triangle
Equilateral Triangle
A triangle with all three sides equal in length and each angle measuring 60 degrees.
Rectangle
Rectangle
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Isosceles Trapezoid
Isosceles Trapezoid
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Study Notes
Classifying Triangles by Angles
- Acute Triangle: All three angles are less than 90 degrees.
- Right Triangle: One angle is exactly 90 degrees. The side opposite the right angle is called the hypotenuse.
- Obtuse Triangle: One angle is greater than 90 degrees.
Classifying Triangles by Sides
- Equilateral Triangle: All three sides are equal in length. All three angles are also equal, measuring 60 degrees each.
- Isosceles Triangle: At least two sides are equal in length. The angles opposite the equal sides are also equal.
- Scalene Triangle: All three sides have different lengths. All three angles also have different measures.
Classifying Quadrilaterals by Angles
- Rectangle: All four angles are right angles (90 degrees). Opposite sides are parallel and equal in length. Diagonals bisect each other.
- Parallelogram: Opposite sides are parallel and equal in length. Opposite angles are equal. Consecutive angles are supplementary (add up to 180 degrees). Diagonals bisect each other.
- Rhombus: All four sides are equal in length. Opposite sides are parallel. Opposite angles are equal in measure. Diagonals bisect each other at right angles.
- Square: All four sides are equal in length. All four angles are right angles. Diagonals are equal in length and bisect each other at right angles.
Classifying Quadrilaterals by Sides
- Trapezoid: Exactly one pair of opposite sides are parallel. The non-parallel sides (legs) may or may not be equal in length.
- Isosceles Trapezoid: A trapezoid with the non-parallel sides equal in length. The angles formed by the base and non-parallel sides (legs) are equal.
- Kite: Two pairs of adjacent sides are equal in length. One diagonal bisects the other at right angles. One pair of opposite angles are equal.
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