Pregunta
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SAN ISIDRO NATIONAL HIGH SCHOOL
Capiñahan, San Isidro, Leyte 6535
San Isidro District Leyte
Segion VIII Eastern Visation
Name:
A. Identification: Read and analyze each statement carefully and then identify what is asked. Write your
answer in the space provided before each number.
  1. In a parallelogram, any two opposite sides are
  2. It is known as the special parallelogram.
  3. It is the segment that joins the midpoint of the legs of a trapezoid.
  4. It is a triangle formed by self-similar triangles.
  5. Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.
  6. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs.
  7. What mnemonic is used in remembering the trigonometric ratios.
  8. It is the angle from the horizontal to the line of sight of the observer to the object below.
  9. The Law of Sines is very useful when solving
  10. It is the equality of two ratios.

Ask by Peters Gough. in the Philippines
Mar 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

  1. Opposite sides in a parallelogram are equal in length.
  2. A rectangle is a special type of parallelogram with all right angles.
  3. The segment joining the midpoints of the legs in a trapezoid is called the median.
  4. A Sierpinski triangle is formed by self-similar triangles.
  5. Two triangles are similar if two of their angles are congruent.
  6. In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs.
  7. The mnemonic SOH-CAH-TOA helps remember the trigonometric ratios.
  8. The angle from the horizontal to the line of sight below is the angle of depression.
  9. The Law of Sines is useful for solving non-right triangles.
  10. Two ratios that are equal are called a proportion.

Solución

  1. Opposite sides in a parallelogram are congruent (i.e., they have equal length).
  2. A parallelogram with all angles right angles is known as a rectangle, a special type of parallelogram.
  3. In a trapezoid, the segment joining the midpoints of the legs is called the median (or midsegment).
  4. A triangle that is constructed from self‐similar copies of itself is known as the Sierpinski triangle.
  5. Two triangles are similar if two angles of one are congruent to two angles of the other (by the AA postulate), so the statement is true.
  6. In a right triangle, the Pythagorean theorem states that
    where is the hypotenuse and and are the legs.
  7. The mnemonic used to remember the trigonometric ratios is
  8. The angle measured from the horizontal to the line of sight from an observer to an object below is called the angle of depression.
  9. The Law of Sines is especially useful when solving oblique (non–right) triangles.
  10. An equality of two ratios is called a proportion.

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Mind Expander

In a parallelogram, any two opposite sides are equal in length and parallel, giving it the unique property of maintaining equal distance apart no matter how far they extend. This feature is part of what makes parallelograms so fascinating; they have a combination of symmetry and flexibility!
Did you know that the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs, is not just a mathematical principle? It has practical applications in fields like construction, navigation, and even graphics programming. It helps ensure stability and precision, bridging theory and real-world use in stunning ways!

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