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?

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Presentation transcript:

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?

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)

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.

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)  

Triangles & Congruence Theorems 14 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?