Geo Mid Year Benchmark Rev

Front

What is the assumption made to start the indirect proof of ∆ABC≅∆DEF?

Back

The assumption is ∆ABC≇∆DEF.

Front

What is the formula to find the perimeter of a rhombus given the lengths of its diagonals?

Back

The perimeter P of a rhombus can be calculated using the formula: P = 2 * (d1 + d2), where d1 and d2 are the lengths of the diagonals.

Front

What is the perimeter of a rhombus with diagonal lengths 12cm and 16cm?

Back

The perimeter is 40 cm.

Front

How do you determine the position of the greatest angle between three points (trees) in a geometric figure?

Back

The position with the greatest angle is determined by the relative distances between the points; the angle is greatest when the points are furthest apart.

Front

What is the most precise description of quadrilateral HIJK if \overline{HI} \parallel \overline{JK}, \overline{HI} \cong \overline{JK} and the diagonals have equal length: HJ = IK?

Back

The most precise description is a rectangle.

Front

How do you find the coordinates of the centroid of a triangle with vertices (x1, y1), (x2, y2), (x3, y3)?

Back

The coordinates of the centroid (G) are given by G = (\frac{x1 + x2 + x3}{3}, \frac{y1 + y2 + y3}{3}).

Front

What are the coordinates of the centroid of the triangle with vertices (0, 9), (-5, 9), and (2, 0)?

Back

The coordinates of the centroid are (-1, 6).

Front

What is the definition of a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What is the definition of a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is the definition of a rhombus?

Back

A rhombus is a parallelogram with all four sides of equal length.