1.All students will actively and effectively participate and compete simultaneously against their assigned class partner. 2.All students must show all work on 1-2 sheets of paper to be turned in at the end of class for 25 points credit. 3.Winning partner receives 5 bonus points! PARTNER JEOPARDY! Geometry – Bench Mark 4 Review
Always? Polygon Angles What Am I? Good Luck, Knights! Prepare yourself for success!
100 Is a parallelogram sometimes, always or never a trapezoid?
100 NEVER! Parallelograms have 2 pairs of parallel sides and trapezoids only have 1 pair.
200 Is a rectangle sometimes, always or never a parallelogram?
200 ALWAYS! It’s just a special type of parallelogra m.
300 Is a parallelogram sometimes, always or never a square?
300 SOMETIME S! A square is a very special type of parallelogra m, but parallelogra ms could be other things, too.
400 Is a rectangle sometimes, always or never a rhombus?
400 SOMETIME S! They could both be the special case where they are squares.
500 Does a trapezoid sometimes, always or never have congruent diagonals?
500 SOMETIME S! It’s true if it is an Isosceles Trapezoid.
What is the sum of the interior angles of a hexagon ? 100
Sum = (n – 2) * 180 Sum = (6 – 2) * 180 Sum = 720
200 What is the measure of each interior angle in a decagon ?
200 First Solution:Second Solution: Sum = (10 – 2) * 180 Each Exterior = 360 / 10 Sum = (8) * 180 = 36 Sum = 1440 Each Interior = Each Interior = 1440 / 10 = 180 – 36 = 144 144
If the measure of each interior angle of a regular polygon is equal to nine times the measure of each exterior angle, then how many sides does it have? 300
Interior + Exterior = 180 9E + E = 180 10E = 180 E = 18 Sides = 360 / 18 = 20 sides
400 If the sum of the interior angles equals the sum of the exterior angles, then what type of polygon must it be? Think carefully about it, it’s really not that hard…
400 Since the sum of the exterior angles is ALWAYS 360 , then the sum of the interior angles must also be 360 ! It must be a Quadrilateral.
500 If each interior angle of a regular polygon measures 120°, then what type of polygon is it?
500 If each interior angle of a regular polygon measures 120°, then what type of polygon is it? 1. Exterior = 180° – 120° = 60° 2. Sides = 360 / 60 = 6 sides 3. It’s a HEXAGON
I have two pairs of parallel sides and my diagonals bisect each other. What type of quadrilateral am I? 100
I am a Parallelogram. 100
I have two pairs of parallel sides and my diagonals are perpendicular to each other. What type of quadrilateral am I? 200
I am a Rhombus. 200
I have two pairs of parallel sides and my diagonals are congruent. What type of quadrilateral am I? 300
I am a Rectangle. 300
I have one pair of parallel sides and my diagonals are congruent. What type of quadrilateral am I? 400
I am an Isosceles Trapezoid. 400
I am both equilateral and equiangular What type of quadrilateral am I? 500
I am a Square. 500