Question

chapter review
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1. the sum of the angles of a square or a rectangle is which of the following?

a. $45^circ$
b. $90^circ$
c. $180^circ$
d. $360^circ$

1. if both diagonals of a room are equal, the corner angles are which of the following?

a. $45^circ$
b. $90^circ$
c. $180^circ$
d. $360^circ$

1. the square root of 9 is:

a. 3
b. 18
c. 27
d. 81

1. in a right triangle with side a = 3\ and side b = 4\, how long is side c?

a. 5\
b. 7\
c. 12\
d. 25\

1. what is the circumference of a dowel with a diameter of $1\frac{3}{4}$\?

a. 3.5\
b. 5.5\
c. 9.6\
d. 11.8\

1. if an arched window is 3-6\ from the center point to the edge and the curved part of the window is half a circle, the length of the curved part is
2. if a round table top has a radius of 4-7\, what is its circumference?

Explanation:

Question 9

Step1: Recall angle properties of square/rectangle

A square and a rectangle each have 4 angles, and each angle is \(90^\circ\).

Step2: Calculate the sum of angles

Sum \(= 4\times90^\circ = 360^\circ\)

Step1: Recall property of quadrilaterals with equal diagonals

In a quadrilateral, if the diagonals are equal and bisect each other (for a room, which is a rectangle-like shape), the angles are right angles.

Step2: Determine the angle measure

A right angle is \(90^\circ\).

Step1: Recall square root definition

The square root of a number \(x\) is a number \(y\) such that \(y^2 = x\).

Step2: Find square root of 9

Since \(3^2 = 9\), the square root of 9 is 3.

Answer:

d. \(360^\circ\)

Question 10