5.1
5.2
5.3
5.4
5.5
100
180(n-2).
What is the formula for the Polygon Sum Conjecture?
100
What is the exterior angle sum of a polygon?
The exterior angle sum of any polygon is 360°, meaning that when you add one exterior angle at each vertex, the total is always 360°, no matter how many sides the polygon has.
100
A polygon formed by connecting non-adjacent vertices of a regular polygon in a repeating pattern, creating a star-shaped figure.
What is a star polygon?
100
What is a kite in geometry?
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.
100
What is a parallelogram?
A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel.
200
How many sides does a polygon have if the sum of its angle measures is 2700°?
17 sides
200
A polygon has exterior angles that each measure 40°. How many sides does the polygon have?
9 sides
200
A regular pentagon is drawn. Every second vertex is connected to form a star shape.
What star polygon is created?
This creates a five-pointed star, also called a pentagram.
200
A kite has side lengths 5, 5, 7, and 7.
Explain why this shape is a kite.
The shape has two pairs of adjacent sides that are equal.
This matches the definition of a kite.
200
What is true about the opposite sides of a parallelogram?
Opposite sides of a parallelogram are equal in length and parallel.
300
b = ?
136 degrees
300
What is the measure of one exterior angle of a regular polygon with 12 sides?
30°
300
A star polygon has 8 points (tips).
How many vertices does the original polygon have?
The number of points in a star polygon equals the number of vertices in the original polygon.
Final Answer: The original polygon has 8 vertices.
300
In a kite, which angles are equal?
The pair of opposite angles that are between the unequal sides are equal.
300
What is true about the opposite angles in a parallelogram?
Opposite angles in a parallelogram are equal.
400
A polygon has an interior angle sum of 900°.
How many sides does the polygon have?
7 sides
400
A polygon has six exterior angles. Five of them measure
45 degrees, 70 degrees, 55 degrees, 80 degrees, and 60 degrees.
Find the measure of the sixth exterior angle.
50 degrees.
400
In a star polygon, each vertex is connected by skipping 2 vertices each time.
If the original polygon has 7 vertices, is a star polygon formed?
Yes. When the number of vertices and the skip number share no common factor, the figure forms one continuous star.
Final Answer: A star polygon is formed.
400
What is special about the diagonals of a kite?
One diagonal of a kite bisects the other diagonal and forms right angles.
400
What is true about consecutive angles in a parallelogram?
Consecutive angles are supplementary, meaning they add up to 180 degrees.
500
The interior angles of a polygon are all equal, and each interior angle measures 156°.
Determine how many sides the polygon has.
Explain why the Polygon Sum Conjecture guarantees that this polygon must be regular.
15 sides
500
A regular polygon has interior angles that each measure 150°.
Find the measure of one exterior angle and the number of sides.
Each exterior angle is 30°, and the polygon has 12 sides.
500
A star polygon is made by connecting every second vertex of a polygon with 6 vertices.
Does this form one continuous star or two separate shapes? Explain.
Six and two share a common factor of 2.
Because of this, the drawing does not make one continuous star.
Final Answer: It forms two separate triangles, not one star.
500
How many lines of symmetry does a kite have, and where is it located?
A kite has one line of symmetry.
It runs through the diagonal that connects the vertices where the equal sides meet.
500
What is special about the diagonals of a parallelogram?
The diagonals of a parallelogram bisect each other, meaning they cut each other into two equal parts.