angle relationships power point

- angle - obtuse angle

- degrees - straight angle

- vertex - complementary angle

- congruent angles - supplementary angle

- right angle - perpendicular angle

- acute angle

- Classify angles.

7.6 The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. (A) use angle measurements to classify pairs of angles as complementary or supplementary.

Here’s a few definitions to get us started!!!

Angle: it has two sides that share a common endpoint

Vertex: the point where the sides meet

A

BC

1

This angle can be named 4 different ways:

ABC, CAB, B, 1

Naming Angles

Name the angle to the right.

The angle can be named in four ways:

FGH, HGF, G, 2.

A. A

B. B

C. C

D. D

A. RST

B. T

C. 3

D. S

Which of the following is not a name for the angle below?

Take a minute to write this in your own personal notes so you don’t have to

keep coming back to this slide.

Classify Angles

Classify the angle as acute, obtuse, right, or straight.

Answer: The angle is exactly 180°, so it is a straight angle.

1. A

2. B

3. C

4. D

A. acute

B. obtuse

C. right

D. straight

Classify the angle as acute, obtuse, right, or straight.

Classify Angles

Classify the angle as acute, obtuse, right, or straight.

Answer: The angle is less than 90°, so it is an acute angle.

1. A

2. B

3. C

4. D

A. acute

B. obtuse

C. right

D. straight

Classify the angle as acute, obtuse, right, or straight.

Take a minute to write this in your own personal notes so you don’t have to keep coming back to this slide.

Remember:

C comes before S in the alphabet and 90 comes before 180,

so that’s an easy way to remember complementary is 90

degrees and supplementary is 180 degrees.

Classify Angles

Classify the pair of angles as complementary, supplementary, or neither.

128° + 52° = 180°

Answer: The angles are supplementary.

1. A

2. B

3. C

4. D

A. complementary

B. supplementary

C. neither

D. acute

Classify the pair of angles as complementary, supplementary, or neither.

Classify Angles

Classify the pair of angles as complementary, supplementary, or neither.

x and y form a right angle.

Answer: So, the angles are complementary.

1. A

2. B

3. C

4. D

A. complementary

B. supplementary

C. neither

D. not enough information

Classify the pair of angles as complementary, supplementary, or neither.

Find a Missing Angle Measure

Angles PQS and RQS are supplementary.If mPQS = 56°, find mRQS.

Words The sum of the measures of PQS and RQS is 180°.

Variable Let x represent the measure of RQS.

Equation 56 + x = 180

Find a Missing Angle Measure

Answer: The measure of RQS is 124°.

1. A

2. B

3. C

4. D

A. 22°

B. 67°

C. 157°

D. 337°

Angles MNP and KNP are complementary.

If mMNP = 23°, find mKNP.