1. Do-Now
Find the vertex of the parabola whose equation is y = –x2 + 6x – 4.
When do y = 2x2 – 6x – 15 and y = x2 + x + 3 intersect?

2. Review Transformations, Formulas, & Euclidean Geometry
Translate a point on the coordinate axes
Reflect a point on the coordinate axes
Dilate a given graph
Height of an equilateral triangle
Find area of an equilateral triangle given the length of one of it’s sides
Congruence Theorems (SSS, SAS, ASA, AAS, HL)

3. Translate, Reflect, Dilate
Translate (–2, 4) using (x – 5, y + 3). What are the coordinates of the image formed?
Reflect (–2, –3) in the x-axis. What are the coordinates of the image formed?
Reflect (3, 7) in the line y = x and state the coordinates of the image formed.
Dilate triangle ABC with A(2, 2), B(–3, 1), and C(1, –5) using a constant of dilation of 2. State the coordinates of the image of triangle ABC.

4. Review Transformations, Formulas, & Euclidean Geometry
Translate a point on the coordinate axes
Reflect a point on the coordinate axes
Dilate a given graph
Height of an equilateral triangle
Find area of an equilateral triangle given the length of one of it’s sides
Congruence Theorems (SSS, SAS, ASA, AAS, HL)  

5. Triangles & Congruence Theorems14
Find the height of the equilateral triangle.
Find the area of an equilateral triangle with side lengths of 6 ft.
How are the following triangles proven congruent?