Similar Triangles

Last updated about 6 years ago

9 Nsɛmmisa

Asemmisa {{asɛmmisaAhyɛnsode}}

Calculate the scale factor for the original triangle and its larger image. Show your working out.

Laabri

Similar Triangles

Last updated about 6 years ago

9 Nsɛmmisa

Asemmisa {{asɛmmisaAhyɛnsode}}

Congruent triangles:

have all sides the same

have all angles the same

are all different sizes

are the same shape

Asemmisa {{asɛmmisaAhyɛnsode}}

Similar triangles:

have all angles the same

are the same shape

have all sides the same

can be different sizes

The two triangles shown are similar.

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆ABC, which vertex (corner) corresponds to vertex E?

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆ABC, which angle corresponds to ∠D?

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆DEF, which side corresponds to BC?

Asemmisa {{asɛmmisaAhyɛnsode}}

Use the scale factor to compare ratios: Are these two isosceles triangles similar?

Yes

G.SRT.5

Asemmisa {{asɛmmisaAhyɛnsode}}

Calculate the scale factor for the original triangle and its larger image. Show your working out.

Asemmisa {{asɛmmisaAhyɛnsode}}

Find the unknown side length of these similar triangles using scale factor. Show working out.

Asemmisa {{asɛmmisaAhyɛnsode}}

Congruent triangles:

have all sides the same

have all angles the same

are all different sizes

are the same shape

Asemmisa {{asɛmmisaAhyɛnsode}}

Similar triangles:

have all angles the same

are the same shape

have all sides the same

can be different sizes

The two triangles shown are similar.

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆ABC, which vertex (corner) corresponds to vertex E?

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆ABC, which angle corresponds to ∠D?

Asemmisa {{asɛmmisaAhyɛnsode}}

In 🛆DEF, which side corresponds to BC?

Asemmisa {{asɛmmisaAhyɛnsode}}

Use the scale factor to compare ratios: Are these two isosceles triangles similar?

Yes

G.SRT.5

Asemmisa {{asɛmmisaAhyɛnsode}}

If they are similar, which similarity statement describes the relationship?

The triangles are NOT similar.

△ABC ~ △EFG, by SSS

△ABC ~ △GEF, by SSS

△ABC ~ △FGE, by SSS

G.SRT.5

Asemmisa {{asɛmmisaAhyɛnsode}}

Find the unknown side length of these similar triangles using scale factor. Show working out.

Asemmisa {{asɛmmisaAhyɛnsode}}

If they are similar, which similarity statement describes the relationship?

The triangles are NOT similar.

△ABC ~ △EFG, by SSS

△ABC ~ △GEF, by SSS

△ABC ~ △FGE, by SSS