Unit 3: Properties of Triangles Congruent: identical in size and shape S-A-S - 2 sides and the angle in between them are the same. A-S-A – 2 angles and.

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Proving Triangles Congruent

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Unit 3: Properties of Triangles Congruent: identical in size and shape S-A-S - 2 sides and the angle in between them are the same. A-S-A – 2 angles and the included side are the same. S-S-S – 3 sides are the same as the corresponding sides of the other triangle. Similar: identical in shape, but can be different size S-A-S – One congruent angle contained between 2 corresponding proportional sides. A-A – 2 congruent corresponding angles. S-S-S 3 corresponding sides are proportional (same ratio).

Steps to drawing congruent triangles A-S-A (Angle-Side-Angle) 1- Draw the known side first (ruler in cm). 2- Label the vertices (points A and B). 3- Place the protractor on point A (point of origin). Read from right to left (0° to 180°) and mark off the angle you are looking for. 4- Measure the side with the ruler. 5- Place the protractor on point B (point of origin). Read from left to right (0° to 180°) and mark off the angle you are looking for. 6- Measure the side with the ruler. 7- Where the 2 sides meet up, label the vertex point C. Measure the angle.

S-S-S (Side-Side-Side) 1- Draw the base first (the longest side) with the ruler in cm. 2- Take the compass and measure one of the sides with the ruler. Draw an arc from one of the points of origin. 3- Repeat step 2 with the other point of origin. 4- Where the 2 arcs meet up, this is the third vertex. Label it. 5- Measure each angle.

S-A-S (Side-Angle-Side) 1- Draw the base first (the longest side) with the ruler in cm. 2- Label the vertices (Points A and B). 3- Place the protractor on point A (point of origin). Read from right to left (0° to 180°) and mark off the angle you are looking for. 4- Measure the side with the ruler. 5- Connect the 2 vertices and draw the third side. Measure the side.

Reading a protractor: Always read from 0° to 180°

Reading a protractor Outside numbers When the point of origin is located on the right side of the baseline, read the numbers from left to right. Inside numbers When the point of origin is located on the left side of the baseline, read the numbers from right to left.