Geo: Flashcard 6-1 :)

Front

If \( \Delta PQR \sim \Delta VST \) with a scale factor of 2:5, find the value of x.

Back

The value of x is 11.2.

Front

If the figures are similar, find the scale factor of Figure B to Figure A.

Back

The scale factor of Figure B to Figure A is \( \frac{1}{3} \).

Front

The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.

Back

The length of the shortest side is 42 inches.

Front

If \( \Delta PQR \sim \Delta UTV \), find the value of x.

Back

The value of x is 15.

Front

If \( \Delta GFE \sim \Delta CBE \), find the value of FE.

Back

The value of FE is 35.

Front

What is the definition of 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.

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

How do you find the perimeter of a triangle given the side ratios and total perimeter?

Back

To find the perimeter of a triangle given side ratios, first express the sides in terms of a variable, then set up an equation with the total perimeter and solve for the variable.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional, meaning the ratio of the lengths of corresponding sides is constant.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.