Video Notes - Similarity, Congruence, Transformations (Practice Flashcards)

Flashcards covering similarity (scale factors), congruence criteria (SAS, SSS, ASA, RHS), parallelogram properties, and basic transformations as referenced in the lecture notes.

In two similar triangles with a scale factor of 2.5 (large to small), if a side in the small triangle is 8 cm, what is the corresponding side length in the large triangle?

20 cm

If a side measures 10 cm in the larger triangle and the scale factor from small to large is 2.5, what is the corresponding side in the smaller triangle?

4 cm

What does scale factor represent in similar triangles?

The ratio by which corresponding lengths are multiplied; lengths in the larger triangle are the smaller lengths times the scale factor.

What does SAS stand for in triangle congruence?

Side-Angle-Side

Two triangles are congruent because two pairs of corresponding sides and the included angle are equal. Which congruence criterion is this?

SAS (Side-Angle-Side) congruence

What are the general conditions for two triangles to be congruent?

All corresponding sides and all corresponding angles are equal.

In the given pair of similar shapes, which side corresponds to LM?

AB

In the given similar shapes, which angle corresponds to NOL?

∠LCD (as indicated in the notes)

What is the scale factor from smaller to larger if LM corresponds to AB and NO corresponds to CD in the similar shapes?

The scale factor is LM/AB = NO/CD; the exact numeric value depends on the given lengths.

In a pair of similar shapes, how do you compute the scale factor from one pair of corresponding sides?

Divide the length of a side in the larger figure by the length of its corresponding side in the smaller figure.

If the scale factor from smaller to larger is 6, what is the length of a side that is 8 units in the smaller figure when mapped to the larger figure?

48 units

True or false: In similar shapes, all corresponding sides are in the same ratio.

True; the ratio is constant and equal to the scale factor.

In a parallelogram ABCD, what property ensures AB = CD and AD = BC?

Opposite sides are equal in length.

Which quadrilateral ABCD has opposite sides parallel and equal?

Parallelogram

Drawing a diagonal in a parallelogram creates two congruent triangles. True or false?

True

Name three features to prove two triangles are congruent in the parallelogram diagram and state the congruency test used.

AB = CD; AD = BC; AC is a common side; using SAS or SSS to conclude congruence.

In the congruent triangles that share vertex O, which side corresponds to BO?

CD

Which transformation is used for item 2 in the transformation questions (as given)?

Reflection

Which transformation occurs when moving a figure without rotation or reflection (pure slide)?

Translation