Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
2 answers:
Answer:
BC = 3 units
Step-by-step explanation:
Given points:
- A = (2, -2)
- B = (-4, -4)
- C = (-4, -1)
- D = (-2, 3)
- E = (1, 3)
- F = (2, 5)
<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).
From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.
It is fairly simple to calculate the length of BC without plotting the points.
As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.
⇒ distance = |-4 - (-1)| = |-3| = 3 units
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Answer:
Which statements about the relationship between the two triangles below are true
- Angle C is congruent to angle S (true)
- Angle D is congruent to angle T (true)
- Triangle D C A is similar to triangle T S R (true)
The rest are false.
Complete question;
Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
- Angle C is congruent to angle T
- Angle C is congruent to angle S
- Angle D is congruent to angle T
- Triangle D C A is congruent to triangle T S R
- Triangle D C A is similar to triangle T S R
- Triangle C A D is similar to triangle T R S
- Triangle C A D is congruent to triangle T R S
Step-by-step explanation:
See attached image for more information;
Angle C = 180 - (60+74.9) = 45.1°
Angle T = 180 - (74.9+45.1) = 60°
Therefore;
Angle C = Angle S = 45.1°
Angle D = Angle T = 60°
And
Triangle D C A is similar to triangle T S R
(Note the order of the letters)
The two triangles are not congruent because the length of their sides are not the same.
