Unit 3 Vocab Test

Question 1

The geometric mean of two
positive numbers is the square root of their product.
It is used to find the mean proportional in geometric sequences and the altitude in right triangles.

Answer 1

Geometric mean

Question 2

A right triangle with two 45-degree angles and one 90-degree angle, where the legs are congruent. It is a special case of the isosceles triangle.

Answer 2

45-45-90 triangle

Question 3

A right triangle with angles measuring 30, 60, and 90 degrees, where the sides are in a specific ratio (1:3:2). It is a special case of the right-angled triangle

Answer 3

30-60-90 triangle

Question 4

In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse. It is a fundamental trigonometric function.

Answer 4

Sine

Question 5

In a right triangle, the ratio of” the length of the side adjacent an acute angle to the length of the hypotenuse. It is a fundamental trigonometric function.

Answer 5

Cosine

Question 6

In a right triangle, the ratio o the length of the side opposite an acute angle to the length of the side adjacent to the acute angle.

Answer 6

Tangent

Question 7

A transformation that flips
figure over a line, creating a mirror image. It is a type of rigid transformation in geometry

Answer 7

Reflection

Question 8

A transformation that slides a
figure in a specific direction for a certain distance. It is a type of rigid transformation in geometry

Answer 8

Translation

Question 9

A transformation that turns a figure around a fixed point. It is a type of rigid transformation in geometry.

Answer 9

Rotation

Question 10

A comparison of two numbers by division. It is used to express the relationship between two quantities.

Answer 10

Ratio

Question 11

An equation stating that two ratios are equal. It is used to solve problems involving equivalent ratios

Answer 11

Proportion

Question 12

Polygons with the same shape but not necessarily the same size. They have proportional corresponding sides and congruent corresponding angles.

Answer 12

Similar polygons

Question 13

The ratio of the lengths of two corresponding sides of similar polygons. It is used to determine the relationship between corresponding sides of similar figures.

Answer 13

Scale factor

Question 14

A transformation that changes the size of a figure, but not the shape. It
involves multiplying the coordinates of the original figure by a scale factor.

Answer 14

Dilation

Question 15

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. It is used to find proportional segments in triangles

Answer 15

Triangle proportionally theorem

Question 16

A segment that connects the midpoint of two sides of a triangle. It is parallel to the third side and half its length.

Answer 16

mid segment

Question 17

If three or more parallel lines intersect two transversals, then they divide the transversals proportionally. It is used to find proportional segments in parallel lines

Answer 17

Proportional parts of parallel lines

Question 18

If three or more parallel lines intersect two transversals, then they create congruent corresponding angles and segments. It is used to find congruent angles and segments in parallel lines.

Answer 18

Congruent Parts Of parallel lines

Question 19

If a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides. It is used to find proportional segments in triangles.

Answer 19

Triangle angle bisect theorem

Question 20

A proportional model or drawing used to represent an object or structure at a different size. It is used in architecture, engineering, and art to create accurate representations.

Answer 20

Scale model/ scale drawing