Geometry

Question 1

3 Triangle Similarity Rules?

Answer 1

Question 2

5 Triangle Congruence Rules?

Answer 2

Question 3

Ratio of Similar Triangle Lengths ?

Answer 3

Scale Factor
All lengths (side lengths, altitude, median etc.) are in the same ratio

Question 4

Ratio of Areas of Similar Triangles = ?

Answer 4

Square of the scale factor

Question 5

What is the Angle Bisector theorem?

Answer 5

Question 6

What is the Side Splitter theorem?

Answer 6

Question 7

What is the Exterior Angle Theorem?

Answer 7

Exterior Angle = Sum of 2 opposite interior angles

Question 8

What is the Right Triangle Altitude Theorem?

Answer 8

Altitude Square = Product of two segments of the hypotenuse

Question 9

Medians of a Triangle divide each other in what ratio?

Answer 9

Question 10

Angle in a Semi-circle is = ?

Answer 10

Question 11

Cyclic Quadrilateral Opposite Angle Sum = ?

Answer 11

Question 12

Angle at Center = ___ x Angle at Circumference

Answer 12

Question 13

Angles in the same segment are ______ ?

Answer 13

Question 14

30-60-90 Triangle side ratios?

Answer 14

Question 15

45-45-90 Triangle side ratios?

Answer 15

Question 16

Area of Equilaterlal triangle with side length a ?

Answer 16

Question 17

Sum of Exterior angles of any Polygon

Answer 17

360 degrees

Question 18

Triangle Inequality in terms of sum of 2 sides?

Answer 18

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
a + b > c,
b + c > a,
a + c >b

Question 19

Triangle Inequality in terms of sum of 2 sides?

Answer 19

The difference between the lengths of any two sides must be less than the length of the third side:
a > c−b,
b > c−a,
c > a−b

Question 20

Area of Rhombus or Kite?

Answer 20

Question 21

Volume of Cone ?

Answer 21

Question 22

Curved Surface of a Cone?

Answer 22

Question 23

Volume and Surface of Cylinder?

Answer 23

Question 24

Volume and Surface of a Sphere?

Answer 24

Question 25

Faces, Vertices and Edges of a Polygon?

Answer 25

Question 26

Volume of any kind of pyramid whose base area is A and height is h ?

Answer 26

Question 27

What are the Ratio Formulas?

Answer 27

Question 28

Area of Triangle of sides a, b, c length?

Answer 28

Use Herons Formula

Question 29

Distance between 2 coordinate points (x1,y1) and (x2,y2) ?

Answer 29

Question 30

How to calculate area of triangle given 3 coordinates?
(x1,y1), (x2,y2) and (x3,y3)?
(Hint: Shoelace)

Answer 30

Question 31

Midpoint between 2 coordinates (x1,y1) and (x2,y2) ?

Answer 31

( x1 + x2)/2, (y1 + y2)/2