Geometry Unit Vocabulary List

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1. What does it mean for geometric figures to be congruent?

They have the same shape but different sizes.

EVERYTHING is the same size and same shape.

They have the same area but different shapes.

They have the same color.

Congruent figures have both the same size and same shape, meaning they are identical in size and shape.

Explanation

Congruent figures have both the same size and same shape, meaning they are identical in size and shape.

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2. What are the properties of similar figures?

All sides are of equal length in similar figures.

All angles are equal in similar figures.

Corresponding angles are congruent and corresponding sides are proportional.

The perimeter of similar figures is the same.

Similar figures have corresponding angles that are congruent and corresponding sides that are proportional, but the other options do not necessarily hold true for all similar figures.

Explanation

Similar figures have corresponding angles that are congruent and corresponding sides that are proportional, but the other options do not necessarily hold true for all similar figures.

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3. What is transformation?

The movement of all the points of a figure according to a common operation.

The act of preserving the original shape and size of a figure.

The creation of a new figure with different properties.

The process of changing one thing into something else.

Transformation refers to the movement of all the points of a figure according to a common operation, such as translation, rotation, or reflection. It involves changing the position of each point in the figure while maintaining its shape and size.

Explanation

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4. What does the term 'Translation' refer to in geometry?

A rotation of a figure around a fixed point.

A reflection of a figure over a line or plane.

A transformation that changes the size of a figure without changing its shape.

A transformation that "slides" each point of a figure the same distance in the same direction.

Translations involve moving all points of a figure the same distance and direction. Rotations involve turning a figure around a fixed point. Dilations change the size of a figure while maintaining its shape. Reflections involve flipping a figure over a line or plane.

Explanation

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5. What is reflection in geometry?

A transformation that slides a figure along a straight line.

A transformation that changes the size of a figure without changing its shape.

A transformation that "flips" a figure over a line of reflection.

A transformation that rotates a figure around a fixed point.

In geometry, reflection involves flipping a figure over a line. This is different from rotation, dilation, or translation which have distinct characteristics.

Explanation

In geometry, reflection involves flipping a figure over a line. This is different from rotation, dilation, or translation which have distinct characteristics.

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6. What is rotation?

A transformation that "turns" a figure about a fixed point through a given angle and a given direction.

A dilation that changes the size of a figure without changing its shape.

A reflection that flips a figure across a line.

A translation that moves a figure along a straight line.

Rotation specifically refers to the transformation where a figure is turned around a fixed point, while the other options describe different types of transformations.

Explanation

Rotation specifically refers to the transformation where a figure is turned around a fixed point, while the other options describe different types of transformations.

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7. What is dilation?

A transformation that shears an object along a specified axis.

A transformation that rotates an object around a fixed point.

A transformation that reflects an object over a line.

A transformation that "multiplies" distances from the center by a common scale factor.It gets bigger or smaller.

Dilation involves resizing an object proportionally from a center point by a scale factor, unlike rotation, reflection, or shearing which involve different types of transformations.

Explanation

Dilation involves resizing an object proportionally from a center point by a scale factor, unlike rotation, reflection, or shearing which involve different types of transformations.

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8. What is the scale factor?

The difference of the angles in two different figures

The average of the perimeters of two different figures

The sum of the areas of two different figures

The ratio of any two corresponding lengths of the sides of two similar figures.

The scale factor is specifically defined as the ratio of corresponding lengths of sides in similar figures, and not related to the sum of areas, average of perimeters, or differences in angles.

Explanation

The scale factor is specifically defined as the ratio of corresponding lengths of sides in similar figures, and not related to the sum of areas, average of perimeters, or differences in angles.

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9. What are parallel lines?

Two lines that intersect at one point.

Two lines that never cross.

Two lines that are parallel in one dimension but not in another.

Two lines that are curved.

Parallel lines are two lines that are always the same distance apart and will never intersect no matter how far they are extended in either direction.

Explanation

Parallel lines are two lines that are always the same distance apart and will never intersect no matter how far they are extended in either direction.

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10. What is a transversal in geometry?

A line that is perpendicular to other lines.

A line that crosses two or more lines.

A line that is parallel to other lines.

A line that never intersects with other lines.

A transversal is a line that intersects with two or more lines at distinct points, forming various angles and relationships in geometry.

Explanation

A transversal is a line that intersects with two or more lines at distinct points, forming various angles and relationships in geometry.

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11. What are vertical angles?

Angles that add up to 180 degrees.

Angles that are opposite of each other. (congruent)

Angles that intersect each other.

Angles that are next to each other.

Vertical angles are formed by two intersecting lines and are opposite angles. They are congruent, meaning they have the same measure.

Explanation

Vertical angles are formed by two intersecting lines and are opposite angles. They are congruent, meaning they have the same measure.

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12. What are corresponding angles?

Angles that hold the same position. (congruent)

Angles that are always opposite each other.

Angles that are less than 45 degrees.

Angles that add up to 90 degrees.

Corresponding angles are angles that are in the same position when two lines are intersected by a transversal, making them congruent.

Explanation

Corresponding angles are angles that are in the same position when two lines are intersected by a transversal, making them congruent.

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13. What are alternate exterior angles?

Angles formed by two parallel lines and a transversal (congruent).

Angles on the same side of the transversal and outside the parallel lines.

Angles on opposite sides of the transversal and inside the parallel lines (congruent).

Angles on opposite sides of the transversal and outside the parallel lines.(congruent)

Alternate exterior angles are formed when a transversal intersects two parallel lines, and they are located on opposite sides of the transversal and outside the parallel lines. These angles are congruent, meaning they have the same measure.

Explanation

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14. What are alternate interior angles?

Angles on the same side of the transversal and inside the parallel lines.

Angles on opposite sides of the transversal and outside the parallel lines.

Angles on the same side of the transversal and outside the parallel lines.

Angles on opposite sides of the transversal and inside the parallel lines. (congruent)

Alternate interior angles are formed when a transversal intersects two parallel lines. They are located on opposite sides of the transversal and inside the parallel lines, resulting in congruent angles.

Explanation

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15. What are Same Side Exterior Angles?

Angles on opposite sides of the transversal and outside the parallel lines.

Pairs of angles that add up to 90 degrees.

Angles on the same side of the transversal and outside the parallel lines. (supplementary)

Internal angles within a triangle that share a common side.

Angles on the same side of the transversal and inside the parallel lines.

Same Side Exterior Angles are angles that are on the same side of the transversal line and outside the parallel lines. They are supplementary, meaning they add up to 180 degrees. The incorrect answers provided do not accurately describe the concept of Same Side Exterior Angles.

Explanation

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16. What are Same Side Interior Angles?

Angles on the outside of the parallel lines.

Angles on the same side of the transversal and inside the parallel lines. (supplementary)

Vertical angles formed by intersecting lines.

Angles on opposite sides of the transversal.

Same Side Interior Angles are angles that are on the same side of the transversal and inside the parallel lines, with their measures adding up to 180 degrees (supplementary). This concept is important in understanding the relationships between angles formed by parallel lines and transversals.

Explanation

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17. What are Supplementary Angles?

Angles that are greater than 180 degrees.

Angles that do not share a common vertex.

Angles that are less than 90 degrees.

Angles that make a straight line and add up to 180 degrees.

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