Nine Weeks Post Assessment Review

Front

What is the relationship between the height of an object and the length of its shadow when light is cast at the same angle?

Back

The height of an object and the length of its shadow are proportional when the angle of the light source is constant.

Front

How do you find the height of an object using similar triangles?

Back

Use the ratio of the heights and shadows of the objects. If Object A's height and shadow length are known, and Object B's shadow length is known, the height of Object B can be found using the proportion: (Height A / Shadow A) = (Height B / Shadow B).

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

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

Back

Use the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

How can you determine the length of a side in a congruent triangle?

Back

If two triangles are congruent, the lengths of corresponding sides are equal. Use the known lengths from one triangle to find the unknown lengths in the other.

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

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

Back

To find the new coordinates after a translation, add the translation values to the original coordinates. For example, if point (x, y) is translated by (a, b), the new point will be (x+a, y+b).

Front

What is the effect of reflecting a point over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its new coordinates become (x, -y).