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Geometry Quiz: Parallelograms, Rectangles, Squares, Rhombus, Kite, Isosceles Trapezoid, and Polygons
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Terms in this set (49)
What does "Polygons" mean?
Many angles.
Picture of a Concave Polygon.
Picture of a Convex Polygon.
What does it mean if it is a regular polygon?
All the sides and all the angles are congruent.
What does it mean if it is a irregular polygon?
All the sides and the angles are not congruent.
What is the sum of the interior angles of a triangle?
180
What is the sum of the interior angles of a quadrilateral?
360
What is the sum of the interior angles of a pentagon?
540
What is the sum of the interior angles of a hexagon?
720
What is the sum of the interior angles of a heptagon?
900
What is the sum of the interior angles of a octagon?
1080
How to do you find the sum of the interior angles?
(number of sides - 2) x 180
In all polygons, what is the sum of the exterior angles?
360
Example: Find the measure of each interior angle of the polygon. (dodecagon)
12-2= 10
10x180=1800
1800/12= 150
Formula for finding the number of sides of a polygon and is given the interior angle.
Interior Angle x n = (n-2)x180
Formula to find the measure of the exterior angle of each polygon.
Number of sides x n = 360
What are the steps to find the exterior and interior angles when given the number of sides?
1. Exterior: Number of sides x n = 360
2. Find the supplementary angle.
If two sides of a regular hexagon are extended to meet at a point in the exterior of the polygon, will the triangle formed (always, sometimes, or never) be equilateral.
Always
The sum of the measures of the interior angles of a polygon is twice the sum of the measures of its exterior angles. What type of polygon is it?
Hexagon.
Parallelogram
:)
In a parallelogram the consecutive angles are always, sometimes, or never supplementary?
Always
In a parallelogram if one angle is 90 then what are the measures of the other angles?
90
What are ways to classify a parallelogram?
1. Parallel arrows
2. Opposite sides are congruent
3. Opposite angles are congruent
4. Diagonals are bisected
5. One pair of opposite sides and the same sides are parallel.
What do the diagonals in a parallelogram do?
Each diagpnal seperates the parallelogram into two congruent triangles.
On a graph how can you prove that it is a parallelogram?
The lines and slopes have to be the same. You can use the slope formula y2-y1/x2-x1 or the distance formula a^2 + b^2 = c^2
If two parallelograms have four congruent corresponding angles, are the parallelograms sometimes, always, or never congruent?
Always
Rectangles
:)
How can you classify a rectangle?
1. All four angles are right angles
2. Opposite sides are congruent and parallel
3. Opposite angles are supplementary
4. Diagonals bisect each other
5. The lines are perpedicular
6. The diagonals are congruent
On a graph how can you prove that it is a rectangle?
Slope= the sides of the figure has to be perpedicular
Distance=The diagonals have to be congruent.
Rhombus
:)
How can you classify a rhombus?
1. It has perpendicular diagonals
2. All the sides are congruent
3. Each diagonal bisects a pair of opposite angles.
4.If one pair of consecutive sides of a parallelogram are congruent, then it is a rhombus.
If a shape is a rectangle and a rhombus, what is it called?
Square
Isosceles Trapezoid
:)
How can you classify an isosceles trapezoid?
1. The bases are parallel
2. The diagonals are congruent
3. The legs are congruent
4. The base angles are congruent
What is the midsegment of a trapazoid?
The segment that connects the midpoints of the legs of the trapezoid. They are all parallel.
How do you find the midsegment?
Add the bases and divide it by 2. Find the average.
Kite
:)
How do you classify a kite?
1. The diagonals are perpendicular
2. One pair of opposite angles are congruent
3. You can make two isosceles triangles.
4. One of the diagonals are bisected
Is it sometimes, always, or never true that a square is also a kite?
Never
Rectangle: Always/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Always
2. Always
3. Always
4. Always
5. Never
6. Always
Rhombus: Alwyas/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Always
2. Always
3. Always
4. Never
5. Always
6. Always
Square: Always/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Always
2. Always
3. Always
4. Always
5. Always
6. Always
Parallelogram: Always/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Always
2. Always
3. Always
4. Never
5. Never
6. Always
Kite: Always/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Never
2. Never (One Pair)
3. Never
4. Never
5. Always
6. Never (Just One)
Isosceles Trapezoid: Always/Never
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Consecutive angles have the sum of 180
4. Diagonals are congruent
5. Diagonals are perpedicular
6. Diagonals bisect each other
1. Never (one pair)
2. Never (Bases)
3. Sometimes
4. Always
5. Never
6. Never
If it is a rhombus and a rectangle then it is a...
Square
Can I call every rhombus a square?
No
Can I call every rectangle a square?
No
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