Question

3. The image below shows the triangle EFG with the coordinates of the vertices being A (-2, 1), B (1, -3) and C (2, 3). a) Calculate the gradient of side AB. b) Calculate the coordinates of the midpoint of side CB. c) Write down the equation of the line joining point A and the midpoint of side CB.

          3. The image below shows the triangle EFG with the coordinates of the vertices being A (-2, 1), B (1, -3) and C (2, 3).

a) Calculate the gradient of side AB.

b) Calculate the coordinates of the midpoint of side CB.

c) Write down the equation of the line joining point A and the midpoint of side CB.

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3. The image below shows the triangle EFG with the coordinates of the vertices being A (-2, 1), B (1, -3) and C (2, 3).

a) Calculate the gradient of side AB.

b) Calculate the coordinates of the midpoint of side CB.

c) Write down the equation of the line joining point A and the midpoint of side CB.

Added by Taylor R.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Jerelyn Nevil

08/09/2023

Step 1

Calculate the gradient of side AB: To calculate the gradient of a line, we use the formula: gradient = (change in y)/(change in x). The coordinates of point A are (-2, 1) and the coordinates of point B are (1, -3). Change in y = -3 - 1 = -4 Change in x = 1 - Show more…

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The image below shows the triangle EFG with the coordinates of the vertices being A (-2, 1), B (1, -3), and C (2, 3). a) Calculate the gradient of side AB. b) Calculate the coordinates of the midpoint of side CB. c) Write down the equation of the line joining point A and the midpoint of side CB.

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Transcript

00:01 Okay, so i see that you need help with this question, and it says the image below shows the triangle efg with the coordinates of vertices.

00:07 So it gives the vertices.

00:09 Calculate the gradient of side ab.

00:11 So it wants to know the slope.

00:13 So you're going to take negative 2, 1, and 1, negative 3.

00:19 And so you're going down 4 and up 3.

00:23 So that's negative 4 over 3.

00:27 Calculate the coordinates of the midpoint of side cb.

00:31 So that's cb.

00:36 So then that is 2 plus 1 divided by 2, comma, 3 plus negative 3 divided by 2.

00:46 So that is 3 divided by 2, comma, and that is 0 divided by 2.

00:54 So that's 1 .5, comma, 0.

00:58 1 .5, comma, 0.

01:01 Write down the equation of the line joining a and the midpoint of cb.

01:09 So a and the midpoint of cb.

01:15 So that would be coordinates negative 2, comma, 1, and 1 .5, comma, 0.

01:31 And so then that would be going down 1, and that would be going from 2, negative 2, to 1 .5.

01:44 So that would be going up to 3 .5.

01:48 So negative 1 over 3 .5, which would be a negative...

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