SY25 Geometry IA2 (Final) Review B

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)

Front

How do you convert radians to degrees?

Back

To convert from radians to degrees, multiply by \( \frac{180°}{\pi} \)

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the relationship between similar triangles?

Back

In similar triangles, corresponding angles are equal and the lengths of corresponding sides are proportional.

Front

If two triangles are similar, how can you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.

Front

What is the significance of the Pythagorean theorem in geometry?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: \( a^2 + b^2 = c^2 \)

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

How do you find the coordinates of a point after a translation?

Back

To find the new coordinates after a translation, add the translation values to the original coordinates.

Front

What is the definition of a triangle's height?

Back

The height of a triangle is the perpendicular distance from a vertex to the line containing the opposite side.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.