Week 10 - Proportional Parts of Triangles

Front

What is a proportional part of a triangle?

Back

A proportional part of a triangle refers to a segment or angle that maintains a consistent ratio with other segments or angles in the triangle, often used in solving problems involving similar triangles.

Tags

CCSS.HSG.SRT.B.4

Front

Define similar triangles.

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle 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.A.2

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion, meaning the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing length in a proportion?

Back

To find the missing length in a proportion, set up a ratio and cross-multiply. Then solve for the unknown variable.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 4 cm and DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for two triangles to be in proportion?

Back

Two triangles are in proportion when the ratios of their corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are similar using angle measures?

Back

Two triangles are similar if two angles of one triangle are equal to two angles of another triangle (Angle-Angle similarity criterion).

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the Side-Side-Side (SSS) similarity criterion?

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5