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McGraw Hill Integrated II, 2012 View details

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Exercise 1 Page 333

What does the angle marker indicate at point Q?

Right

Practice makes perfect

We are given a diagram that contains a number of different angles. We want to classify ∠ VQS as either right, acute, or obtuse. First, let's recall the measures of each of these types of angles.

Type of Angle	Measure
Acute Angle	Between 0^(∘) and 90^(∘)
Right Angle	Exactly 90^(∘)
Obtuse Angle	Greater than 90^(∘) but less than 180^(∘)

When marking angles on a diagram, we have a special type of marker just for right angles. Instead of using an arc like we do for acute and obtuse angles, we use a square to denote a right angle.

Now let's look at the given diagram.

The angle marker on the diagram is not an arc, but a square. This tells us that the angle ∠ VQS is a right angle.

Alternative Solution

Using a Protractor

Instead of relying on the angle marker to tell us what kind of angle ∠ VQS is, we could also use a protractor. To do so, we put the protractor on the diagram so that the intersection of the rays of the angle — in this case the point Q — is in the middle of the protractor.

We then put one of the rays of the angle at the bottom of the protractor so that it is aligned with 0. The other ray will give us the measure of the angle.

As we can see, the measure of the angle ∠ VQS is 90^(∘), which makes it a right angle.

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Exercise 1 Page 333

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Alternative Solution