WorksheetsRectangles/ Polygons
Total questions: 72
Worksheet time: 18hrs 0mins
Which of the following is NOT true about sides of a rectangle.
Opposite sides are parallel
Opposite sides are congruent
Consecutive sides are perpendicular
All sides are congruent
Which of the following is true about the diagonals of a rectangle? Select all that are true.
Diagonals bisect each other
Diagonals are congruent
Diagonal are perpendicular
Diagonals bisect the angles
In a rectangle, all angles are congruent.
True
False
In a rectangle, consecutive angles are congruent.
True
False
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if
necessary.
A
B
C
D
What the measure of the missing angle X?
(a)
What is the value of x?
*Hint* You need to add the values together and set them equal to the sum of the exterior angles.
(a)
If PQRS is a parallelogram, find the value of x.
*Hint* Remember that in parallelograms, opposites sides are congruent.
(a)
Find the measure of angle K.
9
97°
48°
79°
Solve for the missing variable.
255°
90°
60°
105°
What is the sum of the measures of the interior angles of an 11-gon?
1080 degrees
900 degrees
1620 degrees
1980 degrees
How many sides does a figure have that has an interior angle measure of 135 degrees?
7
8
9
10
If the sum of the interior angles of a polygon is 1800°, how many sides does it have?
*Hint* - Use your equation, but plug your value for S in and now solve for n.
10 sides/ Decagon
12 sides/ 12-gon
8 sides/ Octagon
11 sides/ 11-gon
What the measure of the missing angle X?
(a)
What is the sum of the degrees of the interior angles of a 19-gon?
3420 degrees
3060 degrees
3780 degrees
3530 degrees
If the sum of the interior angles of a polygon is 1800°, how many sides does it have?
*Hint* - Use your equation, but plug your value for S in and now solve for n.
10 sides/ Decagon
12 sides/ 12-gon
8 sides/ Octagon
11 sides/ 11-gon
What is the measure of an interior angle of a regular 15-gon?
(a)
What is the value of x?
*Hint* This is a regular polygon because all of the sides are marked as congruent. So to solve you need to find the value of each angle, then set that equal to 16x + 23.
(a)
What is the value of x?
*Hint* This is a regular polygon because all of the sides are marked as congruent. So to solve you need to find the value of each angle, then set that equal to 16x + 23.
(a)
What is the measure of each exterior angle of a regular decagon (10 sides) ?
*Hint* Regular means all of the sides and all of the angles are equal, including the exterior angles.
(a)
What is the value of x?
*Hint* You need to add the values together and set them equal to the sum of the exterior angles.
(a)
If PQRS is a parallelogram, find the value of x.
*Hint* Remember that in parallelograms, opposites sides are congruent.
(a)
If PQRS is a parallelogram, find the value of y.
*Hint* Remember that in parallelograms, consecutive angles are supplementary.
(a)
If PQRS is a parallelogram, find the value of y.
*Hint* Remember that in parallelograms, consecutive angles are supplementary.
(a)
Which of the following is NOT true about angles in a rectangle?
Opposite angles are congruent
Diagonals bisect the angles
Consecutive angles are congruent
Consecutive angles are supplementary
In a rectangle, opposite sides are parallel.
True
False
In a rectangle, opposite sides are congruent.
True
False
In a rectangle, all sides are congruent.
True
False
In a rectangle, consecutive sides are perpendicular.
True
False
In a rectangle, consecutive angles are supplementary.
True
False
All squares are rectangles.
True
False
All rectangles are squares.
True
False
All rectangles are parallelograms.
True
False
All squares are parallelograms.
True
False
In a square, all sides are congruent.
True
False
In a square, all angles are congruent.
True
False
If one diagonal of a rectangle is 9 in, what is the measure of the other diagonal
4.5 in
10 in
9 in
6 in
Opposite sides of a rectangle are parallel
Always
Sometimes
Never
The diagonals of a parallelogram always ...
are congruent
are perpendicular
bisect each other
are parallel
In a parallelogram, consecutive angles are __________.
congruent
supplementary
corresponding
parallel
Which of the following is NOT always true about a rectangle?
All sides are congruent.
The diagonals are congruent.
Any two opposite sides are congruent.
All angles are right angles.
The diagonals of a rectangle are
parallel
congruent
perpendicular
not congruent
The sum of all four angles in a quadrilateral is ____________.
360 degrees
180 degrees
90 degrees
supplementary
A rectangle is can also be called a...
Parallelogram
Square
Rhombus
Pentagon
A rectangle is a parallelogram with
four congruent sides
four congruent diagonals
four acute angles
four congruent right angles
The diagonals of a rectangle are
parallel
congruent
perpendicular
not congruent
In a right triangle __________is ALWAYS the longest side.
a leg
a hypotenuse
ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find BD.
11
14
9
22
