Triangle Similarity(intro)

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. It is a criterion for triangle similarity that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. It is a criterion for triangle similarity that states if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. It is a criterion for triangle similarity that states if the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If DE // KJ, what can be inferred about the triangles formed?

Back

If DE is parallel to KJ, then the triangles formed by these lines and the transversal will be similar by the Basic Proportionality Theorem (or Thales' theorem).

Tags

CCSS.HSG.SRT.B.4

Front

How can you find a missing side in similar triangles?

Back

To find a missing side in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Basic Proportionality Theorem?

Back

The Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.B.4

Front

What does it mean if two triangles are 'Not Similar'?

Back

If two triangles are 'Not Similar', it means that their corresponding angles are not equal and/or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Can two triangles be similar if only one angle is known?

Back

No, two triangles cannot be determined to be similar with only one angle known. At least two angles or the appropriate side ratios must be known.

Tags

CCSS.HSG.SRT.A.2

Front

What is a transversal in relation to parallel lines?

Back

A transversal is a line that intersects two or more lines at different points. In the context of parallel lines, it helps to form angles that can be used to determine similarity.

Tags

CCSS.8.G.A.5