S1 Unit 4: Remediation

Front

What is proportionality in geometry?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant. In geometry, it often applies to similar figures, where corresponding sides are in proportion.

Front

How do you find the length of a proportional enlargement?

Back

To find the length of a proportional enlargement, use the formula: New Length = (Original Length) x (Scale Factor).

Front

What is a scale factor?

Back

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

Front

If a rectangle has a width of 18 in. and a length of 24 in., what is the scale factor if the width is enlarged to 54 in.?

Back

The scale factor is 3, calculated as 54 in. (new width) / 18 in. (original width).

Front

What is the relationship between angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to simplify the equation.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure, often denoted as ∠A ≅ ∠B.

Front

What is the significance of using a mirror to measure height?

Back

Using a mirror to measure height involves the principle of similar triangles, where the height of an object can be determined by the distance from the mirror and the observer's height.

Front

If the length of a banner is 72 in. and the width is 54 in., what is the ratio of width to length?

Back

The ratio of width to length is 54:72, which simplifies to 3:4.

Front

What is the formula for finding the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = Length x Width.