Module 7 Review Geometry

A rhombus, a rectangle and an isosceles trapezoid all have

• congruent diagonals.

• opposite congruent sides.

• opposite congruent angles.

• interior angles that measure 360°.

In which polygon, does the sum of the measures of the interior angles equal the sum of the measures of the exterior angles?

• hexagon

• octagon

• quadrilateral

• triangle

As shown in the diagram of rectangle ABCD at right, diagonals AC and BD intersect at E. If AE = x+2 and BD = 4x-16, determine the length of AC.

Type the correct responses to fill in the blanks. A figure with four sides and perpendicular diagonals could be a ________ or a ________.

In the diagram of isosceles trapezoid ABCD, AB = CD = 25, AD = 26, and BC = 12. What is the length of an altitude of the trapezoid? Enter your answer in the space provided.

LM is the midsegment of trapezoid RSXY. Which of the following would represent the length of LM?

• 6.15

• 6.05

• 12.3

• 4.1

In rhombus TIGE, at right, diagonals TG and IE intersect at R. The perimeter of TIGE is 68 units, and TG = 16 units. What is the length of diagonal IE?

• 15 units

• 30 units

• 34 units

• 52 units

Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?

• All sides are congruent

• Diagonals are congruent

• Diagonals are perpendicular

• The length of a diagonal is equal to the length of a side

The measure of an interior angle of a polygon is 144°. How many sides does the polygon have? Enter your answer in the space provided.

What is the sum of the measures of the interior angles of a convex 16-gon?

• 1800°

• 2340°

• 2520°

• 2700°