0403 Congruent and Similar Figures

They are equal. That is how they get their shape.

If two figures are congruent then what do you know about their corresponding angles?

They are equal. That is how they get their size.

If two figures are congruent then what do you know about their corresponding sides?

They are equal. That is how they get their shapes.

If two figures are similar, then what do you know about their corresponding angles?

They are proportional. That means corresponding sides will all equal to the same ratio.

If two figures are similar, then what do you know about their corresponding sides?

Yes 5/30=4/24=6/36 because they all reduce to the ratio 1/6.

The triangle above has the measurements of 5 cm, 4cm, and 6 cm. Would a triangle of measurements 36 cm, 24 cm, and 30 cm be similar to the above triangle?

≅

What is the symbol for congruent?

~

What is the symbol for similar?

Two figures are congruent if they have the same size and shape.

What makes two figures congruent?

Two figures are similar if they have the same shape.

What makes two figures similar?

∠L = 35° ∠L corresponds to ∠A so they are equal. If you subtract 45 and 100 from 180 then you will find ∠A is 35° so ∠L = 35° .

∆ABC ≅ ∆LMN As stated on the last card, ∠C=45°. ∠B = 100°. What is the measure of ∠L?

∠N = 45° because it corresponds with ∠C therefore they are equal.

∆ABC ≅ ∆LMN If ∠C=45° then what is the measure of ∠N and how do you know?

Line segment AB L and M are the 1st and 2nd letters and A and B are the 1st and 2nd letters therefore they correspond.

∆ABC ≅ ∆LMN What line segment corresponds with line segment LM?

∠M B is the middle letter and M is the middle letter so they correspond.

∆ABC ≅ ∆LMN What angle corresponds with ∠B? Draw the triangle if needed.