Answer:
135 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h(a + b)
where h is the height and a, b the parallel bases
Here h = 9, a = 13 and b = 17 , thus
A = × 9 × (13 + 17)
= 0.5 × 9 × 30
= 135 cm²
The set of ordered pairs are 
Step-by-step explanation:
Given that the relation 
To find the set of ordered pairs, let us substitute the value for x in the relation 
For 
,
The ordered pair is 
For 
,
The ordered pair is 
For 
,
The ordered pair is 
For 
,
The ordered pair is 
For 
,
The ordered pair is 
Thus, the set of ordered pairs is
Answer:
Reflection, then rotation
Step-by-step explanation:
The first triangle is flipped to the second position and then rotated to the thrid position.
Answer:
- PS = 3
- SR = 3
- PQ = √29
- QR = √29
- kite
Step-by-step explanation:
A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a <em>kite</em>.
Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.
<h3>1, 2)</h3>
The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.
PS = SR = 3
__
<h3>3, 4)</h3>
The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.
PQ = QR = √29
__
<h3>5)</h3>
The figure has two pairs of congruent adjacent sides, so is a <em>kite</em>.
Answer:
(-1,-4)
Step-by-step explanation:
Using the rule of when we rotate 90 degrees clockwise
(x,y) goes to (y,-x). We plug it in.
(4,-1) goes to (-1,-4).
