Coordinate geometry and slope — SSAT Upper practice questions

50 questions on the paper
98 practice questions in the app
Free

Practice 98 Coordinate geometry and slope questions in the app

What this topic is

Coordinate geometry and slope on the SSAT Upper Quantitative (Math) section covers points on a coordinate plane, distances between them, figures built from given vertices, and lines whose slope is known.

A student has to find a distance, locate a point from an area condition, and use the slope formula to solve for a missing coordinate. Questions typically give labeled points and ask for a length, an x-coordinate, or an unknown y-value.

Answer choices are numbers, sometimes fractions. Common traps are swapping rise and run, mixing which points belong to which segment, and treating a horizontal line as if its slope were not zero.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

Points $A(2, 5)$ and $B(8, 5)$ are on a coordinate plane. What is the distance from $A$ to $B$ ?

Show answer

Answer: A — 6

The horizontal distance is the difference in $x$ -coordinates: $8 - 2 = 6$ .

Question 2Mid

In the coordinate plane, points $A(1, 2)$ , $B(9, 2)$ , and $C(9, 8)$ are vertices of triangle $ABC$ . Point $D$ lies on segment $AB$ . If the area of triangle $DBC$ is 18 square units, what is the $x$ -coordinate of $D$ ?

Show answer

Answer: B — 3

The height from $C$ to line $AB$ is $8-2=6$ . If $D$ has $x$ -coordinate $d$ , then $DB=9-d$ . The area equation is $\dfrac{1}{2}(9-d)(6)=18$ , so $d=3$ .

Question 3Harder

A line with slope $-\dfrac{3}{4}$ contains the points $(-2, 7)$ and $(6, t)$ . What is the value of $t$ ?

Show answer

Answer: B — 1

Use $\dfrac{t-7}{6-(-2)} = -\dfrac{3}{4}$ . Then $\dfrac{t-7}{8} = -\dfrac{3}{4}$ , so $t-7 = -6$ and $t = 1$ .

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 98 Coordinate geometry and slope questions in the app

Coordinate geometry and slope — SSAT Upper practice questions

What this topic is

Sample questions

More SSAT Upper topics

Quantitative (Math)