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1.3: Measuring and Constructing Angles

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1 1.3: Measuring and Constructing Angles

2 An __angle_ is two rays with a common endpoint.

3 Parts of an angle Sides- Rays Vertex- initial pt (endpoint) of each ray Interior Points- points between the sides Exterior Points- points outside the angle

4 Name the following: ~the angle in three ways ~the vertex ~the sides ~an interior point ~an exterior point ~a point on angle (besides vertex)

5 Name the following: ~The angle. ~The vertex of the angle. ~The sides of the angle. ~A point in the interior of the angle. ~A point in the exterior of the angle. ~A point on the angle besides the vertex.

6

7 List all the angles that can be named using only one vertex letter.

8 The measure of an angle is the ROTATION __rotation_ between the two sides.

9 Postulate 3 – Protractor Postulate

10 Use the protractor to figure out the measure of the angle named.

11 Which angle is bigger? <SML or <BIG

12 Adjacent Angles are two angles
with a common side, a common vertex, and no common interior points.

13 Postulate 4 – Angle Addition Postulate
Two adjacent angles may be added to get a total.

14 Use the Angle Addition Postulate to find the measures of the unknown angle.

15 Find the value of x if m<AXB = 180o. Find m<AXC and m<CXB.

16 Classifying Angles Acute- Obtuse- Right- Straight-

17 Are points P, X, and H collinear?
Using the numbered angles, name an acute angle. obtuse angle.

18


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