GEOMETRY G1 A) Are sides AB and DC parallel? sides AD and BC? A Are sides WZ and XY parallel? sides WZ and ZY? Y D B) Are sides AB and BC congruent? WZ and XY? Are angles B and C congruent? angles D and A? Are angles Z and X congruent? C) Is DC perpendicular to BC? Is AB perpendicular to BC? Is DA perpendicular to CD? D) Draw two points, A and B, and a line through them. Then draw a line through A and perpendicular to line AB. Also do this through point B. What can you say about the two lines you drew? G2 A) Ralph contends that A and F are squares. Is he correct? [ A] D Explain. B) Which of these shapes are polygons? Which are not quadrilaterals. C) Which can be called "parallelograms"? Explain. D) Are any pentagons? Hexagons? Octagons? E) Kareem claims that the top of the shoe box in problem in M2 G) is a rectangle. Do you agree? He also claims that the box is a cube. Is it? Explain. F) Which of these are isosceles triangles? D Are any equilateral triangles? Which are right triangles? G) Roberta claims that you can put two congruent right triangles together to form a square. Is she correct? Her brother, Roberto, thinks that it is possible to put them together to get a quadrilateral that is not a square. Is he correct too? G3 A) Make drawings to test which of these properties are true for squares. (a) Its opposite sides are parallel. True False (b) All of its angles are equal. True False (c) A diagonal divides it into two equilateral triangles. True False (d) Its two diagonals meet, forming four congruent triangles. True False (e) Its two diagonals meet, forming four acute angles. True False B) Which of the properties above is true for any rectangle?C) Draw two shapes that have the following two properties: It is a quadrilateral. Its opposite sides are parallel. Could the shape be a rectangle? square? parallelogram? D) Which statements are true: I. In an isosceles triangle, there are two congruent sides and two congruent angles. II. In an isosceles triangle, there are two congruent angles. (a) Only I (b) Only II (c) Both I and II (d) Neither I nor II G4 A) Which shape is a polyhedron? (a) cone (b) sphere (c) cube (d) cylinder B) Which is not a property of a cube? (a) it has 6 faces (b) it has 6 comers (c) it has 12 edges (d) it has 8 vertices C) Are the ceiling and the floor parallel or intersecting planes? D) The ceiling intersects with a wall in a (a) point (b) line (c) plane (d) solid E) Susie has a good visual imagination and thinks about three dimensional shapes such as cubes and pyramids just as she thought about properties for plane figures as in B and C above. Which is true for cubes? (a) Opposite faces of a cube are parallel. (b) All six faces of a cube are congruent. (c) Some edges of the cube are perpendicular