SY25 Geometry IA2 (Final) Review A

Front

What is the formula to find the angle of a ramp given the vertical and horizontal distances?

Back

The angle θ can be found using the formula: θ = arctan(opposite/adjacent) = arctan(vertical distance/horizontal distance).

Tags

CCSS.HSG.SRT.C.8

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you calculate the length of a minor arc in a circle?

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

If m ∠ P = 60°, how do you find the measure of angle C in a triangle?

Back

Use the triangle angle sum property: m ∠ C = 180° - (m ∠ A + m ∠ B). If m ∠ A = 60°, then m ∠ C = 180° - 60° - 60° = 60°.

Tags

CCSS.8.G.A.5

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90°.

Tags

CCSS.4.G.A.2

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

How do you find the height of a triangle given the base and area?

Back

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

Tags

CCSS.6.G.A.1

Front

What is the definition of complementary angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What is the definition of supplementary angles?

Back

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

Tags

CCSS.7.G.B.5