True/False
Name that Quadrilateral
Parallelograms
Rectangles
Rhombuses
Squares
Midpoints of a Triangle
100
All squares are rhombuses
True
100
Name the quadrilateral that that has two sets of parallel lines
parallelogram
100
Name one unique property of a parallelogram
answers vary
100
Name one unique property of a rectangle
1. diagonals are congruent
2. 4 right angles
100
What is a unique property of a rhombus?
1. all four sides are congruent
2. diagonals are perpendicular
3. diagonals bisect the vertex angle
100
What properties make a square unique?
It is a rhombus and a rectangle
100
If CB=40 and the points D and E are the midpoints of sides AC and AB, respectively, then what is the measurement of DE?
DE=20
200
All rectangles are squares
False
200
Name the parallelogram that has 4 right angles
rectangle
200
Which of the following types of quadrilaterals may not be a parallelogram?
1. a rhombus
2. a trapezoid
3. a square
4. a rectangle
2. a trapezoid
200
Which of the following is not a property of all rectangles?
(1) two pairs of parallel sides
(2) congruent diagonals
(3) perpendicular diagonals
(4) four right angles
3. perpendicular diagonals
200
In the rhombus MNPQ, diagonals MP and NQ intersect at point K. If m∠MPQ=56°, then which of he following is the measure of ∠QKP?
90°
200
Which of the following conditions does not completely specify that a figure is a square?
1. it is a rhombus that has congruent diagonals
2. it is a rectangle that has perpendicular diagonals
3. it is a parallelogram whose diagonals are perpendicular
4. it is a parallelogram with at least on right angles and at least one pair of adjacent sides that are congruent
3. it is a parallelogram whose diagonals are perpendicular
this can also be a rhombus!
200
If the slope of DE is -3/4 and the points D and E are the midpoints of sides AC and AB, respectively, then what is the slope of CB?
the slope of CB is -3/4
300
All trapezoids are parallelograms
False
300
Name the quadrilateral that has one pair of opposite sides that are congruent and parallel
parallelogram
300
Which of the following is not a property of all parallelograms?
1. the diagonals are perpendicular
2. the diagonals bisect each other
3. opposite angles are congruent
4. adjacent angles are supplementary
1. the diagonals are perpendicular
Rhombuses and squares are the only parallelograms that have this property.
300
Which of the following conditions on the diagonals of a parallelogram will guarantee that it is a rectangle?
1. they bisect each other
2. they are perpendicular
3. they have the same length
4. they have the same midpoint
3. they have the same length
300
Given that ABCD is a rhombus and m∠CBD is 67°, then which of the following is the measure of ∠BAD?
46°
300
Which of these statements are true about squares?
a. They are rhombuses
b. They are trapezoids
c. They are rectangles
a and b
They are rhombuses and rectangles
300
Triangle ABC lies in the coordinate plane such that its vertices are located at A(-2,3), B(-7,12) and C(8,7). If the midpoints of sides AB and BC were connected with a line segment, what is its slope?
The slope is 2/5
400
Which of the following statements is false?
1. All rectangles are parallelograms
2. All trapezoids are quadrilaterals
3. All rhombuses are squares
4. All squares are rectangles
3. All rhombuses are squares
400
Name the parallelogram that has diagonals that bisect the vertex angle
rhombus
400
Why are all squares rectangles but not all rectangles are squares?
not all rectangles have four congruent sides
400
Rectangle JKLM was plotted in the coordinate plane and side JK has a slope of 3/5. What must be the slope of side MJ?
-5/3
400
A rhombus has a perimeter of 80 inches. Its longer diagonal is 32 inches. What is the measure of its shorter diagonal?
24 inches
400
A square has a side length of 6 inches. What is the length of its diagonals in inches? Round to the nearest tenth.
8.5
400
If a triangle has a perimeter of 84 inches, then what would be the perimeter of the triangle formed by connecting its midpoints?
42 inches
500
If a quadrilateral that has diagonals that are perpendicular bisectors, then it has to be a square
False--it could be a rhombus as well!
500
Quadrilateral ABCD has vertices at A(-6,3), B(4,8), C(8,0) and D(-2,-5). What kind of quadrilateral is this figure?
(hint: I would have someone find the slope of each side, someone find the lengths of each side, and someone find the midpoints of the diagonals)
It is a rectangle
500
Why are all squares rhombuses but not all rhombuses are squares?
Not all rhombuses have 4 right angles
500
In rectangle ABCD diagonal BD and segment EF are drawn, where E and F lie on sides AB and CD respectively. If m∠DFE=60° and m∠DGF=87° then which of the following is the measure of ∠DBC?
57°
500
A rhombus has diagonals that are 18 inches and 30 inches. Find the perimeter of the rhombus to the nearest whole number.
70 inches
500
The diagonals of square ABCD intersect at point E. If BE=10, then what is the length of AB? Round to the nearest tenth
14.1
500
If the midpoints of the sides of ΔEFG shown below were connected with line segments, what would be the perimeter of the resulting triangle?
17.5 cm