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WorksheetsMathematics 3rd Quarter Review
Total questions: 45
Worksheet time: 23mins
What is a parallelogram?
A quadrilateral with all sides equal
A quadrilateral with two pairs of opposite sides parallel
A quadrilateral with four right angles
A quadrilateral with only one pair of parallel sides
How many pairs of opposite sides does a parallelogram have?
One pair
Two pairs
Three pairs
Four pairs
Which statement is TRUE about the opposite sides of a parallelogram?
They are perpendicular
They are unequal
They are parallel and equal
They intersect
If one angle of a parallelogram measures 70°, what is the measure of its opposite angle?
70°
90°
110°
180°
If one angle of a parallelogram is 50°, what is the measure of the adjacent angle?
50°
100°
130°
180°
The diagonals of a parallelogram _____.
are equal
bisect each other
are perpendicular
do not intersect
A parallelogram has four right angles. What can you conclude?
It is a rectangle
It is a trapezoid
It is a rhombus
It is a kite
Which condition proves that a parallelogram is a square?
All angles are equal
Diagonals bisect each other
Opposite sides are parallel
All sides are equal and all angles are right angles.
Which statement best proves that a parallelogram is a rhombus?
Opposite angles are equal
Diagonals are equal
All angles are right angles
All sides are congruent
Which property is common to all rectangles, rhombi, and squares?
Diagonals are perpendicular
All sides are equal
Diagonals are equal
Diagonals bisect each other
You are asked to prove that a parallelogram is a rectangle. Which set of properties would be the best starting point for your proof?
All sides are equal
Diagonals are perpendicular
One angle is a right angle
Opposite sides are parallel
Which reasoning best explains why not all rhombi are squares?
Rhombi do not have diagonals
Rhombi may not have right angles
Rhombi do not have equal sides
Rhombi are not parallelograms
In a triangle, what points are connected to form a midline?
Two vertices
A vertex and a midpoint
Two midpoints of sides
Three midpoints
According to the Midline Theorem, the length of the midline is ____ the length of the third side.
Half of
Equal to
Twice
Greater than
If a triangle has a base of 10 cm, what is the length of its midline?
5 cm
10 cm
15 cm
20 cm
In an isosceles trapezoid, the non-parallel sides are equal. If one base is 10 cm, the other is 6 cm, and the legs are 4 cm, what is the length of the midsegment?
6 cm
8 cm
10 cm
16 cm
In a kite, one diagonal is 12 cm and the other is 8 cm. What is the area of a kite?
96 cm2
20 cm2
48 cm2
10 cm2
In a trapezoid, the midsegment is 7 cm, and the shorter base is 4 cm. What is the length of the longer base?
10 cm
12 cm
14 cm
16 cm
In a kite, the longer diagonal is 10 cm and bisects the shorter diagonal. If one segment of the shorter diagonal measures 3 cm, what is the total length of the shorter diagonal?
13 cm
10 cm
6 cm
3 cm
Construct a problem to find the missing angle in a parallelogram if one angle measures 65°. What is the opposite angle?
65°
90°
115°
180°
You want to design a trapezoid problem where the non-parallel sides are equal and base angles are 50°. Which type of trapezoid are you describing?
Right trapezoid
Isosceles trapezoid
Scalene Trapezoid
Parallelogram
Create a kite problem where one diagonal is perpendicular to the other, measuring 16 cm. If one half of the shorter diagonal is 5 cm, what is the total area?
40 cm2
48 cm2
60 cm2
80 cm2
What is a proportion?
An equation showing that two ratios are equal
A comparison of two numbers by subtraction
A measurement of angles in a triangle
A ratio of areas
Which of the following is a proportion?
2 + 3 = 5 + 6
5 - 2 = 3
3 x 4 = 12
2 : 3 = 4 : 6
In the proportion a:b=c:d, what are a and d called?
Means
Extremes
Ratios
Products
What does the Fundamental Theorem of Proportionality state?
If a line is parallel to one side of a triangle, it divides the other two sides proportionally
If two triangles have equal areas, their sides are proportional
If two angles are equal, the triangles are congruent
If all sides are equal, the triangle is equilateral
A line parallel to one side of a triangle divides the other two sides proportionally. Which equation represents this situation?
AD + DB = AE + EC
AD : DB = AE : EC
AD = DB = AE = EC
AD × AE = DB × EC
Triangle ABC has sides 3 cm, 4 cm, and 5 cm. Triangle DEF has sides 6 cm, 8 cm, and 10 cm. What explains why the two triangles are similar?
Their areas are equal
They are congruent
They have the same perimeter
Their corresponding sides are proportional
Two rectangles are shown below. Why are the two rectangles similar?
They have the same area
Their lengths are equal
Their shapes are different
Their corresponding sides are proportional
Which situation shows that two figures are NOT similar?
All corresponding angles are equal
Corresponding sides are proportional
The figures have the same shape but different sizes
One pair of corresponding sides is proportional
What is a ratio?
A statement that two ratios are equal
A number written as a fraction
A mathematical sentence with an equal sign
A comparison of two quantities using division
What is a proportion?
A comparison of two numbers
A ratio written in simplest form
An equation stating that two ratios are equal
A fraction with the same numerator
Which theorems states that two triangles are similar if two of their corresponding angles are equal?
SSS Similarity Theorem
AA Similarity Theorem
SAS Similarity Theorem
Pythagorean Theorem
What conditions is needed to apply the SSS Similarity Theorem?
All corresponding angles are equal
Two sides and the included angle are equal
All corresponding sides are proportional
One angle and one side are equal
Which of the following is not a triangle similarity theorem?
AA
SAS
SSS
ASA
Which similarity theorem uses angles only to show that two triangles are similar?
AA
SAS
SSS
SSA
What does AA in the AA Similarity Theorem stand for?
All angles
Any Angle
Angle-Angle
Adjacent Angles
In parallelogram ABCD, if AB ∥ CD and AD ∥ BC, what can be concluded about the opposite sides?
They are perpendicular
They are not related
They are equal in length
They intersect
Which statement best describes a trapezoid?
A quadrilateral with two pairs of parallel sides
A quadrilateral with no parallel sides
A quadrilateral with exactly one pair of parallel sides
A quadrilateral with all sides equal
What is the formula for the Pythagorean Theorem?
a2+b2=c2
a2-b2=c2
a+b=c
a2+b2=2c2
A triangle has legs 6 cm and 8 cm. Find the hypotenuse.
10 cm
14 cm
50 cm
100 cm
The Pythagorean Theorem applies to which type of triangle?
Acute triangle
Equilateral triangle
Obtuse triangle
Right triangle
In the formula a2 +b2 = c2, what does c represent?
One of the legs
Any side of the triangle
The shortest leg
The hypotenuse
A student applies the Pythagorean Theorem to an obtuse triangle. What is the correct analysis?
The theorem applies only to right triangles
The theorem still works
The theorem applies to all triangles
The student must use addition instead
Carlos flies his drone 5 feet above the ground. He rotates the drone to the right. So far, the drone has flown a total of 12 feet. How far is the drone from the start point?
8 feet
10 feet
12 feet
13 feet
