Reviewing the Pythagorean Theorem October 22, 2009

Objectives Content Objectives Review the Pythagorean Theorem. Review the triangle unit. Language Objectives Everyone participates appropriately.

Extra Practice 30 - ANSWERS 1 . c = 5 2 . b = √288 ≈ 16.971 3 . b = 12 4 . b = 12 5 . a = 8 6 . a = √ 128 ≈ 11.314 7 . c = √ 272 ≈ 16.492 8 . c = 5 9 . c = 13 1 0 . b = 8 1 1 . a = √ 180 ≈ 13.416 1 2 . b = √ 208 ≈ 14.422 1 3 . a = √ 7 ≈ 2.646 1 4 . c = √ 200 ≈ 14.142 1 5 . a = √ 108 ≈ 10.392

Pythagoras Worksheet- ANSWERS √41 ≈ 6.403 √ 53.21 ≈ 7.295 √149 ≈ 12.207 √81 = 9 √ 44.16 ≈ 6.645 √ 3125 ≈ 55.902 √89 ≈ 9.434 x=√231 ≈ 15.199 y= impossible 9) x = √14.76 ≈ 3.842 It will not reach 10) 2*6=12 11) ½ *√3 ≈ 0.866 12) 10/2 = 5 13) On the next page…

13) √75 ≈ 8.660

Review topics Special angle types Linear pair Vertical pair Corresponding Alternate interior Same-side interior Alternate exterior Same-side exterior

Linear Pair

Vertical Pair

Corresponding angles

Same-side interior and alternate interior

Same-side exterior and alternate exterior

More review topics Types of triangles By angle type By side type Acute Obtuse Right equiangular By side type Scalene Isosceles equilateral

By Angle Type

By side type

Even more review topics Types of congruence SSS SAS ASA AAS HL Similarity vs. congruence Scale factor in similarity

Types of congruence

And even more review topics Special segments in triangles Angle bisector Perpendicular bisector Altitude Median The Pythagorean Theorem Pythagorean triples Special right triangles (30, 60, 90 and 45, 45, 90)

Special segments in triangles

Medians – vertex to mid-point

Angle bisector – cuts angles in half

Altitude – perpendicular, from vertex

Perpendicular bisector – perpendicular from the midpoint