Angle Relationships Reference With Examples
Written by Adi Ackerman, Head Teacher
"Angle Relationships Reference With Examples" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.B.5. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.
7th grade math worksheet: fill in a reference on complementary, supplementary, vertical and adjacent angles with sketches. Answer key included. Part of our angle relationships geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Name Angle Pairs in Line Diagrams, then go through the single equation sheets before the expression sheets. Keep the reference or guided notes next to students as they work.
What students will practice
- Students will fill in the definition of each type of angle pair.
- Students will sketch and label their own example of each pair.
- Students will answer quick checks about complements, supplements and vertical angles.
Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference
Curriculum Links
Common Core State Standards
Geometry · 7th Grade
Standard: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
View all 7.G.B.5 worksheets →Find this in the curriculum
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FAQ
How do I use this angle relationships worksheet?
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Start with Name Angle Pairs in Line Diagrams, then go through the single equation sheets before the expression sheets. Keep the reference or guided notes next to students as they work.
What does this worksheet teach?
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Fill in a reference on complementary, supplementary, vertical and adjacent angles with sketches. The directions on the page read: Fill in each definition. In each empty box, sketch your own example and label its measures. Then answer the quick checks. An answer key is included.
Can I use this angle relationships worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What are complementary and supplementary angles?
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Complementary angles add to 90 degrees and supplementary angles add to 180 degrees. Two angles that form a right angle are complementary, and two that form a straight line are supplementary. Complementary or Supplementary From a Figure has students name the pair and find x.
What are vertical angles?
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Vertical angles are opposite angles made by two intersecting lines, and their measures are equal. Angle Relationships Reference With Examples has students fill in this definition and sketch an example.
How do you find an unknown angle with an equation?
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Write that the angles add up to 90 or 180, then solve for x. In (2x + 10) + (3x + 20) = 180, 5x + 30 = 180, so x = 30. Guided Notes on Angle Pairs walks through this one step at a time.
How do you solve angle problems with a ratio?
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Write the angles as the ratio parts times x, such as 2x and 3x, and set the sum to 90 or 180. Angle Pairs With Ratio Clues has students write the equation, solve it and write both angle measures.
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Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference