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Geometry

Explore fundamental geometry concepts such as angles, lines, triangles, polygons, symmetry, circles, and more with definitions, quizzes, and examples. Learn about acute, obtuse, straight, and right angles, as well as congruent and similar figures. Understand intersections, parallels, perpendiculars, and angle pairs like vertical, adjacent, complementary, and supplementary. Enhance your knowledge of basic geometry terms, shapes, and characteristics.

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Geometry

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  1. Geometry Angles: Acute, Obtuse, Straight, Right Angle Pairs: Congruent, Vertical, Adjacent, Complementary and Supplementary Lines: Parallel, Perpendicular, Intersecting Triangles: Side Classification Angle Classification. Polygons Congruent Figures/Similar Figures Symmetry Circles Translation, Rotation, Reflection Basic Geometry Terms Point Line Ray Line Segment Angle Vertex Plane

  2. POINT QUIZ Point – an exact location in space. It is ALWAYS named with a capital letter. Example: Point P .P

  3. LINE QUIZ Line – a straight path of point that continues infinitely in two directions. A line is named by any two points on it. Example: Line AB or AB A B

  4. LINE SEGMENT QUIZ Line segment- a part of a line that begins at one point and ends at another point. Example: Line Segment EF, or EF E F

  5. RAY QUIZ Ray - this has one endpoint and continues infinitely in one direction. Example:  Ray CD, or CD C D

  6. ANGLE QUIZ Angle – a figure formed by two rays that have the same end point. X Angle Y, angle XYZ, angle ZYX Y XYZ ZYX NAMES OF THE ANGLE Y Z

  7. VERTEX QUIZ Vertex – An angle is named by its vertex or by three points with its vertex in the middle. Example: Z (Vertex ) Y X

  8. PLANE QUIZ Plane – a flat surface. It continues in all directions. It is usually named with a small letter. Example: m Plane m

  9. ANGLES QUIZ Straight Angle - this measures 180 Right Angles – this measures 90 Obtuse Angle - measures more than 90 but less than 180 Acute Angle - measures less than 90

  10. LINES QUIZ Intersecting Lines – Lines that meet Perpendicular Lines – Lines that intersect and form right angles. Parallel Lines – Lines in a plane that never intersect.

  11. TRIANGLES QUIZ SIDE CLASSIFICATION Equilateral Isosceles Scalene - all three sides - two sides - none of the sides are equal. are equal are equal ANGLE CLASSIFICATION Acute Right Obtuse - all angles - one angle - one angle measure less than is 90 degrees measures 90 degrees more than 90 degrees

  12. Number of sides Name Picture 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon POLYGONS QUIZ

  13. CONGRUENT & SIMILAR FIGURES QUIZ Congruent Figures are EXACTLY the same size AND shape. Example: Rectangle A is = Rectangle B ~ Reminder: = means congruent ~ means similar to ~ A B Similar Figures are the shape, but different sizes. Example: Square C ~ Square D C D

  14. SYMMETRY QUIZ A shape has symmetry when you can fold one half over the other half perfectly. Examples: These figures do not have any lines of symmetry:

  15. Name Definition Example Chord A line segment that has endpoints on the circle Diameter A chord that passes through the center of a circle. It is twice the length of a radius. Radius A line segment that extends from the center to any point on the circle. It is half the size of a diameter TU Central angle An angle that has its vertex at the center of the circle. SV RW SRW CIRCLES QUIZ T U R V S W

  16. . Point of rotation TRANSLATION ROTATION REFLECTION QUIZ Translation - when you slide the figure along a straight line. Reflection – when you flip the figure along a line of symmetry. The new figure is called a reflection. Rotation – you turn the figure on a curved path around a point.

  17. ANGLE PAIRS Congruent Angles: Same measure Vertical Angles: A pair of angles formed by intersecting lines. (Hint: Think of the angle on the opposite side.) 30 º 30 º MORE…

  18. ANGLE PAIRS cont... Adjacent Angles – A pair of angles with a common vertex and a common side. (hint: they’re next to each other) Complimentary Angles: Angles that add up to 90º. Supplementary Angles: Angles that add up to 180 º. 60º 30º 100º 80º

  19. Quiz • What do you call a six sided polygon? • Heptagonb. Hexagonc. Decagond. quadrilateral • What do you call a triangle with no equal sides? • Scaleneb. Obtusec. Isoscelesd. Equilateral • An angle that measures 91 degrees is an __________ angle. • Rightb. Obtusec. Straightd. Acute • A ten sided polygon is called • Tenagonb. Nonagonc. Polygond. Decagon • Which letter is the vertex in this angle? Angle PHY • a. Pb. Hc. Y d. there is no vertex More Questions

  20. Quiz Page 2 • Two lines that will never meet are called: • Parallel linesb. Perpendicular linesc. Intersecting lines • Two lines that form right angles when they meet are called: • a. Parallel linesb. Perpendicular linesc. Intersecting lines • Two lines that cross but do not necessarily form right angles are called: • a. Parallel linesb. Perpendicular linesc. Intersecting lines • What kind of a triangle has one obtuse angle and two acute angles? • a. Acute triangleb. Obtuse trianglec. Right triangle More Questions

  21. Quiz Page 3 • What kind of triangle has three acute angles? • Acute triangleb. Obtuse trianglec. Right triangle • What kind of triangle has one right angle? • Acute triangleb. Obtuse trianglec. Right triangle • When a figure can be folded in half perfectly this is called: • Congruentb. Similar c. Symmetryd. Chord • Two figures that are exactly the same shape and size are called: • Congruentb. Similarc. Symmetryd. Chord • Two figures that are the same shape but different sizes are called • Congruentb. Similarc. Symmetryd. Chord More Questions

  22. Quiz Page 4 • A triangle has one angle that measures 45 degrees, another that measures 30, what is the third angle? • 95b. 5c. 105d. 75 • In a circle the line that starts at the center and then stops at any point on the circle is called the • Radiusb. Diameterc. Chordd. Center • In a circle the line that starts at one point on the circle, travels through the center and then to another point on a circle is called • Radiusb. Diameterc. Chordd. Center • 18. In a circle the line that starts at one point on the circle and travels to another point on a circle is called • a. Radiusb. Diameterc. Chordd. Center

  23. Quiz Page 5 • A figure that starts at one point and stops at another is called a: • Line segment b. Linec. rayd. Point • A figure that starts at one point and then travels on forever in another direction is called: • Line segmentb. Linec. rayd. Point • A figure that goes on forever in both directions is called a • Line segmentb. Linec. rayd. Point • An exact location is called • Line segmentb. Linec. rayd. Point

  24. YES! WAY TO GO!

  25. Sorry...Please Try Again Back to the Quiz

  26. EXCELLENT!

  27. Try Again Good Luck!

  28. AWESOME! KEEP UP THE GOOD WORK!

  29. Oops! KEEP YOUR EYE ON THE TARGET!

  30. Bulls Eye! Way to go!

  31. Sorry...please try again!

  32. YAHOO!

  33. Don't get down... Pick your head up and try again!

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