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## [Smart Math] Geometry Problem 5

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

ABC is a triangle with vertices A (4, 8), B (7, 3) and C (3, 1). Find the equation of the median AD.

1. x + y = 7
2. x + y = 10
3. 3x + y = 10
4. 2x + y = 16
5. 6x + y = 32
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## [Smart Math] Geometry Problem 4

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

Find the ratio in which the point X $\left( \frac{4}{3},4 \right)$ divides the line A (3, 5) and B (–2, 2).

1. 1 : 4
2. 1 : 1
3. 3 : 2
4. 1 : 2
5. 2 : 3
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## [Smart Math] Geometry Problem 3

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

Find the coordinates of the point B if B divides A and C internally in the ratio of 2 : 3. Given that A (–3, –4) and C (2, –1).

1. $\frac{-14}{5},-1$
2. $-1,\frac{-14}{5}$
3. $1,\frac{-14}{5}$
4. $\frac{-1}{5},-14$
5. $1,\frac{14}{5}$
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## [Smart Math] Geometry Problem 2

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

The coordinates of P, Q and R are $\left( \frac{2}{3},\frac{3}{2} \right)$, (1, –3) and (x, y) respectively. If R is the midpoint of PQ, find the values of x and y.

1. $\frac{-5}{6},\frac{-3}{4}$
2. $\frac{-3}{4},\frac{5}{3}$
3. $\frac{5}{6},\frac{-3}{4}$
4. $\frac{3}{4},\frac{5}{3}$
5. $\frac{3}{4},\frac{-5}{3}$
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## [Smart Math] Geometry Problem 1

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

Find the distance between points P (-3, 2) and Q (-5, 8).

1. $\sqrt{40}$units
2. 4 units
3. 6 units
4. $\sqrt{60}$units
5. $\sqrt{30}$units