Basic Triangle Properties
In a similar triangle, this property states that corresponding angles are equal.
What is the Angle-Angle (AA) Similarity Postulate?
In similar triangles, corresponding sides share this mathematical relationship.
What is proportionality?
This method uses shadows and similar triangles to measure heights of tall objects.
What is indirect measurement?
When triangles are similar, their corresponding angles share this relationship.
What is equal?
If triangle ABC is similar to triangle DEF, and AB = 3, DE = 6, then the scale factor from ABC to DEF is this.
What is 1:2?
These are the ratios of the lengths of corresponding sides in similar triangles.
What are proportional sides?
The Triangle Proportionality Theorem involves this segment that is parallel to one side of a triangle and splits the other two sides proportionally
What is a midsegment?
You can use similar triangles to determine this property of an object based on a scaled drawing.
What is actual size or scale?
If two triangles have congruent angles and proportional corresponding sides, they are said to be this.
What is similar?
If the ratio of the sides of two similar triangles is 1:3, then the ratio of their areas will be this.
What is 1:9?
This rule is used to determine if triangles are similar when two angles of one are equal to two angles of another.
What is the Angle-Angle (AA) Criterion?
This is the term for the constant ratio of corresponding side lengths in similar triangles.
What is the scale factor?
This is the geometric concept used when architects reduce measurements of large objects to create scale models.
What is scaling?
In similar triangles, this is the sum of the interior angles for each triangle.
What is 180 degrees?
These two congruent sentential structures verify triangle similarity through the SSS criterion.
What are the three sets of corresponding sides in proportion?
This comparison describes how the ratios of areas of similar triangles compare to the square of the ratio of their corresponding side lengths.
What is the square of the scale factor?
If two triangles are similar, this relationship between their perimeters holds true compared to the corresponding side lengths.
What is the ratio of the perimeters is equal to the ratio of the corresponding side lengths?
This principle allows astronomers to calculate distances between celestial bodies using apparent positions from two locations.
What is parallax?
Given similar triangles, if one pair of sides is in the ratio 3:4, and another pair is 6:8, what is the missing angle measure in the second triangle?
What is the same angle measure as the corresponding angle in the first triangle?
In △ABC and △DEF, if angle A ≅ angle D, AB/DE = AC/DF, which similarity criterion does this prove?
What is the Angle-Side-Angle (ASA) Similarity Criterion?
This similarity condition involves two sides and the angle between them.
What is the Side-Angle-Side (SAS) Similarity Theorem?
When two triangles are similar and one side length of the first is a multiple of the corresponding side in the second, this is their proportional relationship.
What is the sides are in a ratio equal to the scale factor?
In navigation and surveying, this technique based on similar triangles helps determine distances that are difficult to measure directly.
What is triangulation?
Using parallel lines, these types of corresponding parts will have equal measures across similar triangles.
What are corresponding angles?
A pair of right triangles are similar if their acute angles are equal. Mathematically, equal angles imply this trigonometric identity.
What is equal sine or cosine ratios for corresponding angles?