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Diagonals of a kite create 4 congruent triangles
False. Line of symmetry between the non congruent angles divide a kite into 2 symmetric (congruent) triangles.
All Kites have 2 pairs of opposite congruent sides
False - Kites have 2 pairs of adjacent congruent sides
Question 9 on study guide:
Given a rectangle FGHJ, which of the following statement are NOT necessarily true? (refer to your study guide for options)
Rectangle FGHJ is not a parallelogram.
FH is perpendicular to GJ
The coordinates of the vertices of a quadrilateral ABCD are A(1, 5), B(4, 8), C(7, 5), D(x, y). If quadrilateral ABCD is a square, what are the coordinates of D?
(4,2)
If a equation of a line is 4x − 2y = −2
What is the slope of the line that is parallel to it?
What is the slope of the line that is perpendicular to it?
2 is parallel
-1/2 is perpendicular
All squares are both rectangles and rhombi
True
the angles of a trapezoid add up to how many degrees
360 degrees
True or False - Rhombuses are parallelograms that have congruent diagonals.
False
What can I do to determine if two lines on a coordinate grid are perpendicular or parallel?
Find the slopes of each line.
They will be the same if parallel or opposite reciprocals if perpendicular
What is the area of a kite with diagonals of 4cm and 9cm?
18
I can divide a kite into two triangles using the diagonals to create
2 isosceles triangles
2 symmetrical congruent triangles
The area of a kite formula is:
d1 x d2 (1/2)
True or False Adjacent angles of a parallelogram are complementary.
False - complimentary means they add up to 90 degree.
Answer is Supplementary meaning they add up to 180 degrees.
Which type of quadrilateral is formed by these points: A(2, 3), B(6, 3), C(7, 7), and D(3, 7)?
Parallelogram
What is the answer to question 23 on the study guide?
48
Quadrilateral ABCD has the below qualities:
What am i?
What is a rectangle
The key characteristics of the diaganonals of kites are . . .
Diagonals are perpendicular
Diagonals between the two non congruent angles are angle bisectors and split the kite into two congruent symmetrical triangles
True or False The diagonals of a parallelogram are perpendicular to each other.
false - they bisect each other.
Only Rhombus and Square are perpendicular
Consider the three coordinates of a quadrilateral: A(2, 3), B(6, 3), and C(7, 7). Which of the following could be the fourth coordinate (D) of the parallelogram ABCD?
A. (3,7) B. (1,5) C. (11,7) D (1,-1)
Consider the rectangle ABCD, where the diagonals intersect at point E. If AB = 15 and BE = 8.5, what is the length of AD?
8
172- 152 = AD2
Which statement guarantees that the quadrilateral is a parallelogram?
1. One pair of opposite angles are congruent
2. One pair of opposite sides are congruent and parallel
3. One pair of opposite sides are congruent
4. One pair of consecutive angles are congruent
The diagonal between the two congruent angles of a kite split the angles in to 2 equal angles
False - only the diagonal between the two non congruent angles is an angle bisector
Which property are true for rectangles, squares, and isosceles trapezoids?
Diagonals are congruent
At least one set of opposite sides are parallel
The points O(−3,0),P(1,−7),Q(9,−8), and R(5,−1) form quadrilateral OPQR. What shape most precisely describes the shape that is formed.
Rhombus
Consider rectangle QRST, where the diagonals of the rectangle intersect at point U.
78