Below is a set of 10 GMAT-style geometry practice questions covering angles, triangles, circles, area, and ratios. Each question mirrors the difficulty and structure of GMAT quantitative problem-solving.
Complete solutions and explanations are available here: GMAT Geometry Solutions – Sample 2 .
What is the measure of angle \(x\) if lines \(L_1\) and \(L_2\) are parallel?
A) \(130^\circ\)
B) \(50^\circ\)
C) \(60^\circ\)
D) \(90^\circ\)
E) \(180^\circ\)
Find the value of \(x\).
A) \(0\)
B) \(5\)
C) \(10\)
D) \(15\)
E) \(20\)
Triangle \(ABC\) has altitudes \(AN \perp BC\) and \(BM \perp AC\). Given:
\[ BC = 10,\quad AC = 12,\quad AN = 8 \]Find the length of altitude \(BM\).
Triangle \(ABC\) is isosceles with \(BA = BC\). Find the measure of angle \(x\).
Find the area of a right isosceles triangle with hypotenuse equal to \(24\).
The total area of the composite figure below is \(240\). Find the length of segment \(AC\).
A square is inscribed in a circle. The area of the square is \(144\). What is the area of the circle?
The measures (in degrees) of two consecutive interior angles of a parallelogram are
\[ 2x + 10 \quad \text{and} \quad x + 20 \]Find the measures of the two angles.
The perimeter of a rectangle is \(90\) and its width is \(10\). Find the area of the rectangle.
What is the ratio of:
\[ \text{Area of a square of side } x \quad \text{to} \quad \text{Area of a rectangle of width } 2x \text{ and length } 3x? \]