<h3>Yes, this is true.</h3>
To be considered similar triangles, the angles must be the exact same, and the sides must be proportional. The side lengths do not have to be exactly the same, but they must be proportional (like a ratio, suppose one triangle has a side length of 1, and the similar triangle has a side length of 3. The ratio is 1:3, and all sides will follow this ratio.)
Answer:
<M = 32 and <Y = 103
Step-by-step explanation:
1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32
2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.
I hope this helps! :)
Side of the parallelogram :-
3/5 - 1/5 = 2/5
Height :-
2/5 is the side of rectangle n also forms the height of parallelogram.
Area = bh
= 2/5 × 2/5
= 0.16 foot square
Answer:
y=14
Step-by-step explanation:
We are told that the legs of the isosceles trapezoid are AB and CD
AB = 7y - 4
CD = 8y - 18
In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD
⇒ 7y - 4 = 8y - 18
Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
