Geo U3 Review (final) 2

Front

What is the perimeter of a triangle formed by connecting the midpoints of another triangle's sides?

Back

The perimeter of triangle ABC is twice the perimeter of triangle DEF.

Front

In a right triangle, if one leg is 5 units and the hypotenuse is 13 units, how do you find the length of the other leg?

Back

Use the Pythagorean theorem: a^2 + b^2 = c^2. Here, 5^2 + AC^2 = 13^2, so AC = 12 units.

Front

What is the formula for the perimeter of a polygon?

Back

The perimeter is the sum of the lengths of all its sides.

Front

If a polygon has a perimeter of 12 units and is dilated by a scale factor of \(\frac{3}{4}\), what is the new perimeter?

Back

The new perimeter is 12 * \(\frac{3}{4}\) = 9 units.

Front

What is the relationship between the sides of triangle DEF and triangle ABC when DEF is formed by connecting the midpoints of ABC?

Back

Each side of triangle DEF is half the length of the corresponding side of triangle ABC.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): \(c^2 = a^2 + b^2\).

Front

How do you calculate the length of a side in a right triangle?

Back

Use the Pythagorean theorem: if you know two sides, you can find the third.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If triangle ABC has sides of lengths 6, 8, and 10, what is its perimeter?

Back

The perimeter is 6 + 8 + 10 = 24 units.

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.