Similar Figures BellRinger

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If △ART ~ △COL, what can we say about the angles of these triangles?

Back

The angles of △ART and △COL are equal, meaning Angle A = Angle C, Angle R = Angle O, and Angle T = Angle L.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides from the two triangles.

Front

What is the formula for setting up proportions in similar triangles?

Back

If △ABC ~ △DEF, then the proportion can be set up as: AB/DE = BC/EF = AC/DF.

Front

Given △KLM ~ △KPR, if KL = 10 and KP = 15, what is the ratio of KL to KP?

Back

The ratio of KL to KP is 10:15, which simplifies to 2:3.

Front

What is the measure of Angle A if △ART ~ △COL and Angle C = 86°?

Back

Angle A = 86° because corresponding angles in similar triangles are equal.

Front

If PN = 38 cm in △PAN ~ △POT, and the ratio of PN to OT is 2:1, what is the length of OT?

Back

OT = 38 cm / 2 = 19 cm.

Front

Which proportion can be used to find n if △ABC ~ △KLM?

Back

The proportion 6/9 = n/14 can be used to find n.

Front

If the length of side AB in △ABC is 10 cm and the corresponding side DE in △DEF is 15 cm, what is the scale factor?

Back

The scale factor is 10:15, which simplifies to 2:3.