Geo Units 4, 5, 6

Front

What is a minor arc in a circle?

Back

A minor arc is the shorter arc connecting two points on a circle, measured in degrees. It is less than 180°.

Front

How do you determine the measure of an angle formed by two intersecting lines?

Back

The measure of the angle can be found using the properties of vertical angles, which are equal, or by using supplementary angles that add up to 180°.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If two triangles are similar, how can you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the scale factor: if the scale factor is k, then the length of the side in the second triangle is the length in the first triangle multiplied by k.

Front

What is the formula to find the length of an arc in a circle?

Back

The length of an arc (L) can be calculated using the formula: L = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

How do you find the measure of an angle in a right triangle?

Back

Use trigonometric ratios: sine, cosine, or tangent, depending on the known sides.

Front

What is the relationship between the angles and arcs in a circle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

How do you calculate the vertical rise of a ramp given the incline angle and length?

Back

Use the formula: vertical rise = length * sin(incline angle).

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.