Partitioning a Segment: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

A and B have different first coordinates, and internal P has $AP:PB=4:11$ . Which equation for signed horizontal changes follows?

Answer choices for question 1 A $x_P-x_A=\frac{4}{11}(x_B-x_A)$ B $x_P-x_A=\frac{4}{15}(x_B-x_A)$ C $x_P-x_A=\frac{11}{15}(x_B-x_A)$ D $x_P-x_A=\frac{15}{4}(x_B-x_A)$
2

An internal point has $AP:PB=2:5$ . Which description locates it?

Answer choices for question 2 A Two fifths of the way from A toward B B Five sevenths of the way from A toward B C Two sevenths of the way from B toward A D Two sevenths of the way from A toward B
3

The endpoints are $A(-6,3)$ and $B(14,3)$ . Find internal $P$ with $AP:PB=1:4$ .

Answer choices for question 3 A $(-2,3)$ B $(10,3)$ C $(4,3)$ D $(-1,3)$
4

Let $A(3,-10)$ and $B(3,14)$ . Find internal $P$ with $AP:PB=1:2$ .

Answer choices for question 4 A $(3,6)$ B $(-2,3)$ C $(3,-2)$ D $(3,2)$
5

Which ordered ratio makes internal P the midpoint of distinct endpoints A and B?

Answer choices for question 5 A $AP:PB=7:7$ B $AP:PB=1:7$ C $AP:PB=7:1$ D $AP:PB=0:7$
6

For $AP:PB=6:5$ , which endpoint receives weight 6 in the weighted-coordinate formula?

Answer choices for question 6 A A B B C Both endpoints D Neither endpoint
7

A is $(1,-4)$ and B is $(16,6)$ . Find internal P with $AP:PB=2:3$ .

Answer choices for question 7 A $(10,2)$ B $(6,0)$ C $(7,0)$ D $(7,2)$
8

For the same internal point P, $AP:PB=4:9$ . What is $BP:PA$ ?

Answer choices for question 8 A $4:9$ B $4:13$ C $9:13$ D $9:4$
9

Which is required for the internal division formula in this lesson?

Answer choices for question 9 A Equal endpoint coordinates B Distinct endpoints and positive ratio parts C A nonvertical segment D Integer coordinates only
10

Let $A(9,5)$ and $B(-3,-7)$ . Where is the point three fourths of the way from A toward B?

Answer choices for question 10 A $(0,-4)$ B $(6,2)$ C $(3,-1)$ D $(0,4)$
11

Internal P satisfies $AP:PB=5:2$ . Which endpoint is nearer to P?

Answer choices for question 11 A A B Both are equally near C The ratio does not decide D B
12

An internal point lies four ninths of the way from A toward B. What is $AP:PB$ ?

Answer choices for question 12 A $4:9$ B $5:4$ C $4:5$ D $9:4$