pkwringleys ;

Question 12 (Multiple Choice Worth 4 points)

(5.03 MC)

Which chart best compares a square and a rectangle according to their side and diagonal properties?

Square

Rectangle

Side

Opposite sides are parallel and all sides are equal

Opposite sides are parallel and only opposite sides are equal.

Diagonal

Diagonals are equal and do not intersect at right angles.

Diagonals are equal and intersect at right angles.

Square
Rectangle
Side
Opposite sides are parallel and all sides are equal
Opposite sides are parallel and only opposite sides are equal.
Diagonal
Diagonals are equal and intersect at right angles.

Diagonals are not equal and intersect at right angles.

Square
Rectangle
Side
Opposite sides are parallel and all sides are equal

Only one pair of opposite sides is parallel and only opposite sides are equal.

Diagonal
Diagonals are equal and intersect at right angles.
Diagonals are equal and do not intersect at right angles.

Square
Rectangle
Side
Opposite sides are parallel and all sides are equal
Opposite sides are parallel and only opposite sides are equal.
Diagonal
Diagonals are equal and intersect at right angles.
Diagonals are equal and do not intersect at right angles.

Question 22 (Multiple Choice Worth 4 points)

(4.03 MC)

The figure shows a weather balloon at point P.

A right triangle PQR is drawn with right angle at angle PRQ. Angle PQR is 35 degrees and QR is 6 miles in length.

How high is the point P of the weather balloon from a point R on the ground?

6 by sec 35 degrees miles

6 by cot 35 degrees miles

6 cot 35° miles

6 sec 35° miles

Question 26 (Fill-In-The-Blank Worth 4 points)

(6.05 MC)

Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH.

Two irregular similar quadrilaterals ABCD and EFGH are drawn. AB measures 6 inches, BC measures 3 inches, CD measures 3 inches and DA measures 4 inches. EF measures 72 feet.

What is the total length, in feet, of the actual walkway?

Question 30 (Fill-In-The-Blank Worth 4 points)

(8.01, 8.04 MC)

The figure below shows two white quarter circles inside a rectangle.

A rectangle having length 80 ft and width 40 ft has two white quarter circles inside it.The part between two quarter circular arcs is shaded. The radius of the quarter-circular arcs is 40 feet each.

The area of the shaded portion is approximately _____square feet. Round the solution to the nearest whole number. Use 3.14 for pi.

Question 34 (Fill-In-The-Blank Worth 4 points)

(07.01 MC)

The figure below shows CB = 4, BE = 5, AB = x – 4, and DB = x + 3.

Triangle ABC is a right triangle with measure of angle ACB equal to 90 degrees. The measure of side CB is 4 and AB is x minus four. D is a point on the left of C on BC extended. A point E is labeled on AB such that DE is perpendicular to AB. Measure of EB is 5 and DB is x plus 3.

If △ABC ~ △DBE, the value of x is _________

Question 42 (Fill-In-The-Blank Worth 4 points)

(01.04 MC)

The figure below shows line AB parallel to line CD. Segment EF is parallel to segment GH.

AB and CD are parallel lines. EF and GH are transversals which are parallel to each other. The measure of angle EFC is x plus 10. The measure of angle HGB is 2 multiplied by x minus 40

What is the value of x?

Question 44 (Multiple Choice Worth 4 points)

(5.05 HC)

The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals?

The measure of their corresponding angles is equal.

The ratio of their corresponding angles is 1:2.

The ratio of their corresponding sides is 1:2

The size of the quadrilaterals is different but shape is same.

Question 50 (Multiple Choice Worth 4 points)

(6.01 MC)

The figure shows a pattern of a regular octagon and squares.

A regular octagon with four squares on four of its sides is shown. An interior angle of the octagon is marked x

Which of the following describes a method to find the measure of angle x?

The side of the octagon extends to form the diagonal of the square. The sum of x and 45° is 360°. x = 360°- 45°.

The interior angle of the octagon is 360° minus the interior angle of the square. x = 360° – 90°.

Extend the side of the octagon to get the diagonal of the square. The exterior angle of the octagon is 90° ÷ 2 = 45°. x = 180°- 45°.

The exterior angle of the octagon is the same as the interior angle of the square. x = 180°- 90°.