Geometry Review Lesson

GeometryIn this lesson we revisit all the main rules and terms of line and triangle geometry.We then try and calculate some angles.In the first part, give yourself 1 point for every rule, term or measurement that you get correct.

Types of AngleBelow are 4 types of angles. Name each type.right angledacuteobtusereflex

Rule 1 180°Angles on a straight line add up to ……75°60°45°180° - (75° + 60°) = 45°

Rule 2 360°Angles at a point add up to ………75°50°105°55°75°360° - (75° + 50° + 55° + 75°) = 105°

Rule 3 equalVertically opposite angles are …………78°78°

Rule 4 180°Angles in a triangle sum to ………52°48°80°180° - (80° + 48°) = 52°

Rule 5equalAngles in an equilateral triangle are ……… Each angle size is ……60°60°60°60°

Rule 6Base angles of an isosceles triangles are ………equal42°180° - 42 = 138°138° ÷ 2 = 69°69°69°

Rule 7The exterior angle of a triangle is equal to ……………………………………………………………the sum of the interior opposite angles65°52° + 65° = 117°52°117°

Rule 9Angles that add up to 90˚ are called:Complementary ComplimentaryChoose the correct spelling.XXXXXXXXXXXX25°65°

Rule 10Angles that add up to 180˚ are called …………………………supplementary158°22°

Rule 11 (for parallel lines)equalAlternate angles are …………… (alternate angles form a Z shape)88°88°

Rule 12 (for parallel lines)corresponding………………………… angles are equal (they form an F shape)73°73°

Rule 13 (for parallel lines)supplementaryCo-interior angles are ……………………. (they form a U shape)106°74°

Name These PolygonsA three sided polygon is called a …………………………Name 4 types of triangle…………………………………………………………………………………………………………triangleRight angledScaleneEquilateralIsosceles

Name These PolygonsA 4 sided polygon is called a …………………………Name 4 types of quadrilateral…………………………………………………………………………………………………………quadrilateralsquarerectangletrapeziumparallelogram

Name These Polygonspentagon5 sides ………………

12 sides ………………hexagonheptagonoctagonnonagondecagonhendecagondodecagon

Do you know this?What is the difference between a polygon and a polyhedron?A polygon is a flat figure, like a square. A polyhedron is a 3D figure, like a cube.

Rule 14The sum of the exterior angles of a polygon is …………360°90°72°72°90°72°72°90°72°90°

Rule 15The sum of the interior angles of a polygon is (n – 2) × 180˚

What does the n stand for?65°n = the number of sidesfor a triangle n = 3(3 – 2) × 180˚ = 180˚80°35°

Geometry Review What did you score?Did you get over 50? Only 49 points were available!

Angle GeometryFind the missing angles.2x + 58 + 24 = 180° 2x = 98° x = 49°58°xx24°

Angle GeometryFind the missing angles.21 + 90 + x = 180° x = 69° y = 111°xyx21°

Angle GeometryFind the missing angles.y = 82° y116°x34°x = 64°

Angle GeometryFind the missing angles.x = 72°xyz71°37°y = 143°z = 109°

Angle GeometryFind the missing angles.x = 60°xzy60°y = 60°z = 120°

Angle GeometryFind the missing angles.yy = 77°xzz = 77°26°x = 154°

Angle Geometryw= 40°Find the missing angles.x= 70°xy = 40°30°z = 140°140°zy70°w

Angle GeometryFind the missing angles.w =124°wx = 98°x84°124°u= 110°w =128°26°vz40°uv = 26°v30°

Angle GeometryFind the missing angles.xzw32°ywxy = 32°z = 148°w= 58°x = 122°z

Angle GeometryDo you remember the formula for the sum of the interior angles of a polygon?

Geometry Review Lesson

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Geometry Review Lesson