Congruence and Similarity
What is the definition of congruence in geometry?
What is two figures are the same shape and size.
Define a geometric transformation in mathematics.
What is Function that maps points from one position to another in space.
What are the interior angles of a triangle always sum to?
What is: Interior angles of a triangle always sum to 180 degrees.
How can you determine if two triangles are similar?
What is corresponding angles are congruent and corresponding sides are proportional.
Describe the difference between a translation and a reflection in geometry.
What is: Translation moves a shape without changing its orientation; Reflection flips a shape.
Explain the relationship between the angles in a linear pair.
What is: Supplementary - meaning they add up to 180 degrees.
Explain how corresponding angles help determine if two figures are similar.
What is: Corresponding angles are congruent, establishing similarity between the figures
What is a dilation in terms of geometric transformations?
What is: Changes the size without changing its shape.
Define complementary angles in geometry.
What is: Complementary angles are two angles that add up to 90 degrees.
Prove that two triangles are congruent using the side-angle-side (SAS postulate.
What is two sides and the included angle of one triangle are congruent to two sides; and the included angle of the other triangle.
Perform a 90-degree clockwise rotation on a given triangle.
What is: Each point of the triangle is rotated 90 degrees in the clockwise direction.
Calculate the measure of the third angle in a triangle with angles of 40o and 70o.
What is subtracting the sum of the known angles from 180 degrees.
Calculate the scale factor if two similar triangles have corresponding sides of 6cm and 9 cm.
What is scale factor is 1.5
Identify the type of transformation when a figure is stretched vertically by a scale factor of 2.
What is: When a figure is stretched vertically by a scale factor of 2, it undergoes a dilation.
Find the value of x if two lines are parallel and /_1=3x-10 and /_2=4x+8
What is: Setting the angles equal to each other and solving for x.