Theorems
The triangle sum theorem states that…
The measure of the interior angles of a triangle add up to 180 degrees.
To draw accurate drawings of shapes, angles and lines in geometry is to build a ______.
Construction?
Two congruent sides of an isosceles triangle are known as the…
Legs?
The theorem that claims an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles is…
The Exterior Angle Theorem?
If you need to draw a circle, you’ll draw it with a…
Compass?
A vertex angle is formed by two…
Legs?
Corollary to a theorem means…
A statement that can be proved easily using a theorem.
1) Copy a segment
2) Draw an arc
3) Draw a second arc with a different center
4)Draw a triangle
What am I constructing? (Hint. Lesson 5.4)
An equilateral triangle?
Equiangular triangles have 3 equal _____, measuring _____each.
3 equal angles + each measure 60 degrees.
“SAS“ in The SAS congruence theorem stands for…
Side-Angle-Side?
What do you need to copy a triangle using SAS?
The legs of two isosceles triangles are congruent. Are the triangles congruent too?
The triangles are congruent?
The SAS congruence theorem states…
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Step 1: Construct a side
Step 2: Construct an Angle
Step 3: Construct a _____
Step 4: Draw a triangle
What is missing in step 3?
Construct an ANGLE?
If all points in two triangles are equally distant from the center they are ______.
Congruent? (By the SAS Congruence Theorem)