Geometry Segments Day 2 - April 2024

Consider rectangle RSTU, where the diagonals of the rectangle intersect at point W. If RW = 5x – 10, and UW = 3x + 6, what is the length of the diagonal RT?

• 8 units

• 16 units

• 30 units

• 60 units

Which two statements are true?

• Diagonals of a rectangle are always perpendicular.

• Diagonals of a rectangle always bisect each other.

• Diagonals of a rhombus are always congruent.

• Diagonals of a square are always congruent.

• Diagonals of a square are always perpendicular bisectors.

The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based on the information, which statement is a valid conclusion about Trapezoid ABCD?

• The parallel bases are congruent

• The non-parallel sides are perpendicular

• The non-parallel sides are not congruent

• One base and one non-parallel side are perpendicular

Consider the two congruent triangles PQR and KLM. What is the perimeter of ΔPQR?

• 47 units

• 48 units

• 51 units

• 52 units

In triangle LMN, LP = 2 cm, LQ = 3 cm, QN = 2 cm, mL∠PQ = mL∠NM and mL∠QP = mL∠LMN. What is the length of line segment PM?

• 4/3 cm

• 10/3 cm

• 11/2 cm

• 15/2 cm

A cylinder has a radius of 3.1 cm and a height of 7.6 cm. Which of the following dimensions describes a cylinder that is similar?

• Radius = 4.1 cm, height = 8.6 cm

• Radius = 6.2 cm, height = 9.6 cm

• Radius = 7.75 cm, height = 15.2 cm

• Radius = 10.85 cm, height = 26.6 cm

Eric used two similar cylinder shapes in his art project. Once cylinder had a radius of 3.5 inches and height of 8 inches. If the other cylinder had a radius of 5.25 inches, what is the height?

• 9.75 in.

• 11.5 in.

• 12 in.

• 13 in.

In the diagram below, PQ||MN, MP = 12, OP = 6, PQ = 2x – 3 and MN = 5x + 3. What is the value of x?

• 1

• 2

• 9

• 12

A 6-foot tall man is standing 8 feet from the base of a lamppost, as shown in the diagram. If the light from the lamppost casts a 4-foot shadow of the man, what is the height, in feet, of the lamppost?

• 9

• 12

• 14

• 18

In the figure below, DE||AB. What is the length, in inches, of BC?

• 14

• 16

• 22

• 26