Question
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
![](data:image/png;base64,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)
Hint:
Use triangle midsegment theorem.
The correct answer is: ⇒ MQ ∥ AC
Complete step by step solution:
A midsegment of a triangle is a segment that connects the midpoints of two sides of
a triangle. It will always be parallel to the third side of the triangle.
⇒ MQ ∥ AC (since MQ is a midsegment connecting AB and BC)
Related Questions to study
Find AB if MN is the midsegment of △ ABC.
Find AB if MN is the midsegment of △ ABC.
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Find x if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Find x if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex
Place a rectangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.
Place a rectangle in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.
In how many months will Rs. 1020 amount to Rs 1037 at 2 ½ % simple interest per annum
In how many months will Rs. 1020 amount to Rs 1037 at 2 ½ % simple interest per annum
A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth Vertex.
A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth Vertex.
![4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis](data:image/png;base64,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)
In the equation above, p and t are constants. Which of the following could be the value of p ?
![4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis](data:image/png;base64,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)
In the equation above, p and t are constants. Which of the following could be the value of p ?
What is the sum of the complex numbers 2 +3i and 4 +8i , where
?
A) 17
B) 17i
C) 6 +11i
D) 8 +24i
What is the sum of the complex numbers 2 +3i and 4 +8i , where
?
A) 17
B) 17i
C) 6 +11i
D) 8 +24i
A square has vertices (0, 0), (1, 0), and (0, 1). Find the fourth vertex.
A square has vertices (0, 0), (1, 0), and (0, 1). Find the fourth vertex.
Find AB if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Find AB if MN is the midsegment of △ ABC.
![](data:image/png;base64,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)
Solve each inequality and graph the solution:
-0.5x>-10.
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Solve each inequality and graph the solution:
-0.5x>-10.
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.