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Geometry True-False Check
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Name:Date:
Geometry True-False Check
Ruben and Rawiri are checking the geometry on a city bus route map. For each statement, decide whether it is true or false. Give a reason using geometry vocabulary. For false statements, write a correction.
Part A: Shapes and angles
Use what you know about shape properties to test each claim.
1.A square has four equal sides and four right angles. True or false? Explain your choice.
2.A triangle can have two right angles. True or false? Explain why.
3.The two straight sides meeting at the bus stop sign below make an obtuse angle. True or false? Give the angle-size range that supports your answer.
TrueFalse
4.Perpendicular lines cross to form right angles. True or false? Explain what size each angle is.
5.Every rectangle is a square. True or false? Correct the statement.
TrueFalse
Part B: Lines, polygons and measurement
Check each claim carefully. Some statements sound convincing but need a closer look.
6.Parallel lines stay the same distance apart and never meet. True or false? Explain.
7.A rhombus must have four right angles. True or false? Explain using a property of a rhombus.
8.A regular polygon has all sides the same length and all interior angles the same size. True or false? Explain what makes it regular.
9.A rectangle is 6 m long and 3 m wide. If both measurements are doubled, its area doubles. True or false? Calculate both areas to check.
10.Two angles that add to 180° must share a side and a vertex. True or false? Explain the difference between adding to 180° and being adjacent.
11.If the radius of a circle doubles, its circumference doubles too. True or false? Explain the relationship.
12.Write your own geometry statement that could trick a classmate. Mark it true or false, then explain the clue that gives away the answer.
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