Angle relationships
Angles that share a common side and vertex
What are adjacent angles?
What does it mean for two triangles to be similar?
Their corresponding angles are congruent and their corresponding sides are proportional.
What do you call a shape with only length and width?
A 2D (two-dimensional) shape.
What is a point that splits a segment into two equal parts?
A midpoint.
What is the relationship between the scale factor and area in similar figures?
Area changes by the square of the scale factor.
Angles formed by two intersecting lines that are opposite each other.
What are vertical angles?
What symbol is used to show that two triangles are similar?
The symbol ∼
How many sides does a triangle have?
3
What does AB + BC = AC represent?
Segment Addition Postulate.
What is the sum of the interior angles of a quadrilateral?
360 degrees
Two angles that add up to 90 degrees
What are complementary angles?
If triangle ABC is similar to triangle DEF, which angle corresponds to angle A?
Angle D.
What is a four-sided shape called?
A quadrilateral.
What formula finds distance between points?
distance formula
What 3D measurement tells how much space a figure takes up?
Volume
Two angles that add up to 180 degrees
What are supplementary angles?
If two triangles are similar, how do their perimeters compare?
Their perimeters are proportional to the scale factor.
What is the sum of the angles in a triangle?
180 degrees.
What divides a segment into equal parts?
A segment bisector
a midpoint divides a segment from (2,4) to (6,8), what is the midpoint?
(4,6)
angles that form a straight line
What is a linear pair?
If the scale factor of two similar triangles is 3:1, how does their area compare?
The areas compare as 9:1.
What is a polygon with 8 sides called?
an octagon
If a midsegment connects two sides of a triangle, how long is it?
Half the length of the third side.
A triangle is dilated by a scale factor of 1/2. If the original area is 36, what is the new area?
9