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Quizzes > Mathematics

Geometry review quiz: sharpen core skills in 20 quick questions

Quick, self-checking geometry practice test. Instant results and next steps.

Editorial: Review CompletedCreated By: Can TaoUpdated Aug 23, 2025
Difficulty: Moderate
Grade: Grade 9
Study OutcomesCheat Sheet
Colorful paper art promoting Geometry Test Blitz, a high school level geometry quiz.

This geometry review quiz helps you check key high school concepts and build speed before a test. For more practice, try our 10th grade geometry quiz, explore geometry test questions, or work through a geometry quiz with answers. You'll get instant feedback to spot gaps and fix them fast.

Which term describes a triangle with all three sides of different lengths?
Scalene
Right
Equilateral
Isosceles
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Two angles that share a common vertex and a common side but have no interior points in common are called what?
Linear pair
Vertical angles
Complementary angles
Adjacent angles
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In a right triangle, which ratio corresponds to sine of angle A?
Opposite over adjacent
Opposite over hypotenuse
Hypotenuse over adjacent
Adjacent over hypotenuse
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A line that intersects two or more coplanar lines at distinct points is called a what?
Transversal
Chord
Tangent
Secant
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The midpoint of a segment divides the segment into how many congruent parts?
It depends on the segment length
Four
Three
Two
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The Pythagorean Theorem relates which sides of a right triangle?
Only the hypotenuse
All sides of any triangle
Legs and hypotenuse
Only the legs
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What is the sum of the interior angles of a convex hexagon?
1080 degrees
900 degrees
540 degrees
720 degrees
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The perpendicular distance from a point to a line is the length of the segment that is what to the line?
Perpendicular
Oblique
Collinear
Parallel
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What is the slope of any line parallel to the line with equation y = -3x + 7?
-3
3
0
7
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The diagonals of a rectangle are best described as which of the following?
Always parallel
Congruent
Perpendicular
Always equal to a side
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For a triangle with sides 7, 24, and 25, which statement is true?
It cannot form a triangle
It is an obtuse triangle
It is a right triangle
It is an acute triangle
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If two triangles are similar, which quantity is equal for corresponding sides?
Differences
Products
Ratios
Sums
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The measure of an exterior angle of a triangle equals the sum of which interior angles?
One adjacent interior angle
Two remote interior angles
Two adjacent interior angles
All three interior angles
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Which transformation preserves orientation and distances?
Shear
Reflection
Translation
Dilation
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The medians of a triangle intersect at the orthocenter.
True
False
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A dilation with scale factor k changes angle measures by a factor of k.
False
True
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In a right triangle, the altitude to the hypotenuse creates two triangles similar to the original triangle and to each other.
False
True
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Which statement about similar solids is true?
Perimeters are unchanged
Volumes scale by the cube of the scale factor
Surface areas scale by the cube of the scale factor
Angles change by the scale factor
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The angle bisector theorem relates the ratio of the two segments on a side of a triangle to the lengths of which adjacent sides?
The medians
Any two sides
The two sides opposite the bisected angle
The two sides that form the bisected angle
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Which of the following is the condition for two lines to be perpendicular in vector form in the plane?
Their slopes are equal
Their direction vectors have cross product zero
Their direction vectors have dot product zero
Their direction vectors are equal
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Study Outcomes

  1. Analyze geometric figures to identify properties and relationships.
  2. Apply theorems and postulates to solve problems involving angles, lines, and shapes.
  3. Synthesize information from geometric diagrams to determine measurements and calculations.
  4. Evaluate proofs and arguments to assess logical reasoning in geometry.
  5. Interpret problem scenarios to determine appropriate geometric strategies and techniques.

Geometry Test Review Cheat Sheet

  1. Triangle Essentials - Get to know the properties that make every triangle tick: the three interior angles always add up to 180° and for right triangles the Pythagorean Theorem (a² + b² = c²) is your secret key. Playing with different side lengths will help these facts stick in your brain.
  2. Polygon Area & Perimeter - Learn the area and perimeter formulas for rectangles, squares, and parallelograms so you can design everything from picture frames to skate parks. Once memorized, these formulas turn puzzles into quick wins.
  3. Circle Fundamentals - Explore circles with circumference (2πr) and area (πr²), then slice out arc lengths and sectors for extra practice. Soon, every round shape will feel like child's play.
  4. Congruence & Similarity - Discover how shapes become exact twins (congruent) or scaled relatives (similar) using triangle tests like SSS, SAS, ASA, and AAS. These criteria are the secret handshake in geometry proofs.
  5. Coordinate Geometry Tricks - Plot points to prove theorems algebraically: calculate distances between dots with the distance formula, and find segment midpoints like a pro. Graph-paper doodles just got powerful.
  6. Conic Sections Overview - Slice a cone and meet circles, parabolas, ellipses, and hyperbolas - each with its own standard equation and curve style. Graph them to see how parameters bend and shift each shape.
  7. Plane Transformations - Learn to slide (translate), spin (rotate), flip (reflect), and stretch (dilate) shapes across the plane. Tracking each point's journey builds your spatial reasoning skills.
  8. Special Right Triangles - Memorize the ratios of 45°-45°-90° (1:1:√2) and 30°-60°-90° (1:√3:2) triangles to solve problems in a snap. Recognizing these patterns saves tons of time on tests.
  9. 3D Surface Area & Volume - Dive into cubes, cylinders, cones, and spheres by calculating surface area and volume. Visualize these 3D shapes to turn formulas into real-world packing and design magic.
  10. Trigonometric Ratios - Use sine, cosine, and tangent to unlock right triangles - solve for missing sides and angles in no time. You'll see these trig ratios pop up from construction to gaming.
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