Definitions and properties
What is the shape of a figure that has four equal sides and four equal angles?
What is, a Square
What is the similarity between an equilateral triangle and an isosceles triangle?
What is, Both have at least two sides of equal length.
What is the similarity between a triangle and a quadrilateral?
What is, they are both polygons
What is the term for a smaller version of a shape that maintains the same proportions as the original?
What is, Similar Figure
What is a scale factor?
What is, A number used to enlarge or reduce a shape
If two triangles are similar, what can be said about their corresponding angles?
What is, they are equal
What is the similarity between the hypotenuse and the base of a triangle?
What is, both are sides of a triangle
What is the similarity between a regular polygon and an irregular polygon?
What is, both are polygons
What is the term for the ratio of corresponding sides lengths in Similar Figures?
What is, Scale Factor
If a triangle with sides 3 cm, 4 cm, and 5 cm is enlarged by a scale factor of 2, what will be the length of the longest side in the new triangle?
What is, 10 cm
What does it mean for two figures to be similar in geometry?
What is, they have the same shape but different sizes
What is the similarity between an altitude and a perpendicular bisector in a triangle?
What is, both are perpendicular to a side of the triangle
What is the similarity between a convex polygon and a concave polygon?
What is, Both are types of polygons
What is the term for real-life applications of similar figures used in creating maps?
What is, Scale drawings
A rectangle has a length of 6 cm and a width of 4 cm. If the rectangle is reduced by a scale factor of ½, what will be the area of the new rectangle?
What is, 6 cm²
What is the term for the ratio of the lengths of two corresponding sides in similar Figures?
What is, Scale Factor
What is the similarity between the centroid and the circumcenter of a triangle?
What is, both are points of intersection of triangle segments
What is the similarity between a Pentagon and a hexagon?
What is, Both are polygons
What is the term for a drawing or model that represents an object in a smaller or larger size while maintaining proportions?
A square has a side length of 5 cm. If the square is enlarged by a scale factor of 3, what will be the perimeter of the new square?
What is, 60 cm
What is the term for a transformation that changes the size of a figure but preserves its shape?
What is, Dilation
What is the similarity between the orthocenter and the incenter of a triangle?
What is, both are points of intersection of triangle segments.
How are the side lengths of a triangle and a quadrilateral related in a similar figure?
What is, They are proportional
What is the term for the process of using similar triangles to measure the height of a tall object, such as a building?
What is, Indirect measurement
A triangle has an area of 18 cm². If the triangle is enlarged by a scale factor of 4, what will be the area of the new triangle?
What is,288 cm²