The opposite angles are equal to are supplementary to each other or equal to each other.
<h3>What is a Quadrilateral Inscribed in a Circle?</h3>
In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.
If e, f, g, and h are the inscribed quadrilateral’s internal angles, then
e + f = 180˚ and g + h = 180˚
by theorem the central angle = 2 x inscribed angle.
∠COD = 2∠CBD
∠COD = 2b
∠COD = 2 ∠CAD
∠COD = 2a
now,
∠COD + reflex ∠COD = 360°
2e + 2f = 360°
2(e + f) =360°
e + f = 180°.
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Answer:
The dimensions of the park on the scale drawing are 12 inches by 20 inches
The actual dimensions are given as:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches
The above means that, the scale factor (k) is:
--- i.e. divide the scale measurement by the actual measurement
Evaluate both equations
So, we have:
Multiply the scale factor by the dimensions of the park, to get the scale measurement
Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches
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Step-by-step explanation:
Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.
Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.
Choice B has a rotation. Nope.
Choice C has a shifting and a reflection. Nope.
Choice D has a rotation and shifting. Nope.
Thus choice A is best.
The whole length of the poster is 4 feet. There are three people who will paint an equal length, so this means that we need to divide the 4 feet of the poster between 3 people.
4 ÷ 3 <span>≈ 1.3
Each student will paint 1.3 feet, or 1 foot and 4 inches of the poster.</span>