The diagonals of a kite _____.
1 answer:
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Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m = 48°
∴ m = 2 × 48° = 96°
m∠AEF = (1/2) × m
m + m
= 360° (angle round a circle)
∴ m = 360° - m
= 360° - 96° = 264°
m = m
+ m
∴ m = m
- m
= 264° - 175° = 89°
m = 89°.
Answer:
Step-by-step explanation:
The given cylindrical equation is
Multiply both sides by r.
.... (1)
The required formulas are
Substitute in equation (1).
Add 1 on both sides.
It is the equation of a circle centered at (0,1) with radius 1.
Therefore, the equation in rectangular coordinates is .