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Warm up. 4.3 Analyzing Triangle Congruence. Two new shortcuts: AAS HL. 60 °. 70 °. Angle Angle Side.

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4 3 analyzing triangle congruence

4.3 Analyzing Triangle Congruence

Two new shortcuts:

AAS

HL


Angle angle side

60°

70°

Angle Angle Side

Triangle congruence can be proved if two angles and a NON-included side of one triangle are congruent to the corresponding angles and NON-included side of another triangle, then the triangles are congruent.

60°

70°

5 m

5 m

These two triangles are congruent by AAS


Hypotenuse leg
Hypotenuse Leg

This SPECIAL shortcut is ONLY for right triangles.

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

4.5 cm

If this wasn’t a right triangle, what postulate would it appear to be?

4.5 cm

6.5 cm

6.5 cm

These two triangles are congruent by HL


We re done taking notes now we just have to use them
We’re done taking notes,now we just have to use them ♥

  • Get out paper and pencil

  • Turn to page 232

  • We’ll do 25 & 26 together.

  • Draw the quadrilateral given in #25.

  • Label your drawing

  • Start a 2 column proof… make a table with “Statements” and “Reasons”

  • As you fill in your table with the ‘givens’, mark those things on your drawing.

  • When you are done marking and listing, are you able to prove what needs to be proved?

  • Follow the same steps for #26


Your assignment
Your Assignment

  • Pg 231: 10-34

  • Pg 234: Look Back 44-50


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