Unit 1 Review Angle Pairs

Unit 1 Review

Learning Target: I can use angle pair relationships to solve for varibales in a diagram.

Poll

How confident do you feel about determining angle pair relationships?

• 1- I can't tell what type of angles are shown

• 2- I can sometimes tell what type of angles are shown

• 3- I can always tell what type of angles are shown

Types of Angle Pairs

• Linear Pair/Supplementary

• Complementary

• Corresponding

• Vertical

• Alternate Interior

• Same-Side Interior

Two angles that create a line.

The angles equal 180.​

Linear Pair/Supplementary

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Two angles that create a right angle.

The angles equal 90.​

​​Complementary​

​Two angles that are across from one another at an intersection point.

The angles are equal.

Vertical Angles

Two angles that are in the same place on two different lines.

The angles are equal.​

Corresponding

Two angles that are on "alternating" or opposite sides of a transversal, and inside the parallel lines.

The angles are equal.

​​Alternate Interior​

Two angles that are on the same side of a transversal, and inside the parallel lines.

The angles equal 180.

Same-side Interior

Multiple Select

Which types of angle pairs are congruent?

• Linear Pair/

  Supplementary

• Corresponding

• Vertical Angles

• Alternate Interior

• Same-Side Interior

Step 1

Decide what type of angles are shown & if they are equal, = 180 or = 90​

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Angle Pair Relationships​

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Step 2

Write the name of the angle pair then write an equation to ​solve for the variable.

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Step 3

Solve the equation.

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What if there are 2 varibales?

Solve for one of the variables first (choose the one that shows up twice)

Substitute your value into each angle to check

Use the angles you found to help solve for the other variable

Open Ended

What type of angle pair is shown here?

Open Ended

Solve for x. (write your answer as x=# with no spaces)

Open Ended

What type of angle pair is this?

Draw

Use angle pair relationships to set up an equation and solve for x.

Poll

How confident do you feel about solving angle pair relationships now?

• 1- I can't tell what type of angles are shown

• 2- I can sometimes tell what type of angles are shown

• 3- I can always tell what type of angles are shown

Poll

How confident are you in your ability to solve equations?

• I could solve equations ALL DAY!

• I sometimes feel confident solving equations.

• I still need to practice solving equations.

Multiple Choice

Solve for b:
-11 + 3(b + 5) = 7

• b = 1
• b = -1
• b = 3
• b = -3

Multiple Choice

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, divide by 7

• divide by 7, subtract 10

• multiply by 7, add 10

• add 10, multiply by 7

Poll

How do you feel about multiplying polynomials?

• I always write them as a product = sum

• I sometimes feel confident multiplying polynomials.

• I need extra practice.

Multiple Choice

(2x − 3)(2x + 3)

• 4x² − 12x + 9
• 4x² − 9
• 4x² + 9
• 4x² + 6x − 9

Multiple Choice

(3x − 6)(7x + 7)

• 21x² − 63x + 42
• 21x² − 21x − 42
• 21x² − 42
• 21x² + 63x + 42