## GEOMETRY NOTES

Completely resolved Geometry Notes (Charcoal Solutions). This page contains questions and solutions related to geometry.

In these notes; The classical or new generation questions that are likely to appear include information that allows you to look and interpret them from a wide angle, with a clear and simple expression, without causing confusion.

With these special lesson notes, those who want to increase their knowledge of geometry and success in the lesson can contribute to themselves. Our studies continue unabatedly in order to have competence.

ABC isosceles triangle ( | AB | = | AC | ), [DE] perpendicular [AB], [DF] perpendicular [AC], m (BAC) = 30 ° , | ED | = 3 cm , | DF | = 4 cm ;  how many centimeter is | AB | ?

In the isosceles triangle, the sum of the struts lowered from one point taken on the base to equal sides is equal to the height of the equal sides.(A proof in isosceles triangle feature)

ABC equilateral triangle, m (AFB) = 150 °, | FB | = 8 cm, | FC | = 17 cm; How many centimeter is | AF | = x?

A triangle with integers, [AB] perpendicular [AC], | AD | = | DC |, | AB | = 5 cm, | EC | = 7 cm; What is the largest integer value of | DE | = x centimeter?

If ABC is a triangle, m (BAD) = m (DAC) = 60 °, | AB | = 6 cm, | AD | = 4 cm; | DC | = x how many centimeter?

If ABC is a triangle, G center of gravity, [BA] perpendicular [AC], [GE] perpendicular [BC], m (ACB)= 15 °, | GE | = 2 cm; | BC | how many centimeter is it?

[AH] perpendicular [BC], | AB | = | AC |, | AH | = 25 cm to the ABC isosceles triangle cardboard. When folded along [DE], corner A coincides with corner C. [DE] ∩ [AH] = {K}; | AK | how many centimeter is it?

ABC triangle, [AB] perpendicular [CD], [AC] perpendicular [BE], | BE | = 3 | EC |, | DC | = 2 | DB | if; How many degrees is m (BAC)?

Another solution of the triangle question (solution with Trigonometry)

ABC is a right triangle, KLMN is a square, [AB] perpendicular [AC], | AC | = 2 | AB |, | BN | = 10 cm; | BC | how many centimeter is it?

ABC is a triangle, [AD] perpendicular [DC], m (BAD) = 30 °, | AB | = 4 cm, | CD | = 6 cm; | BE | / | EC | what is the ratio?

If ABC is a triangle, [AF] and [BF] bisector, [DE] parallel [AB], | AD | = 4 cm, | BE | = 5 cm, | AB | = 12 cm; How many cm is the circumference (DEC)?

If ABC is a triangle, [DF] parallel [AC], [EF] parallel [DC], | BE | = 4 cm, | AD | = 3 cm, | ED | = x;  How many centimeter is x?

If ABC right triangle, [BD] and [CE] bisector, [AB] perpendicular [AC], | AD | = 2 cm, | DC | = 3 cm; | EC | = x how many centimeter?

If ABC is a right triangle, [AB] perpendicular [AC], [BD] ∩ [EC] = {G}, | BE | = 4 cm, | CD | = 5 cm, Area (AEGD) = Area (GBC); How many cm² is the area (AED)?

If ABC is a right triangle, [AB] perpendicular [AE], [AC] perpendicular [BC], [BD] ∩ [EC] = {G}, | BD | = 6 cm, | DE | = 4 cm; How many cm² is the area (ABE)?

ABC equilateral triangle, m (CED) = 120 °, | ED | = | EC |, | DC | = 2 | BD |, | AB | = 6 roots3 cm; How many cm² is the area (AEC)?

In the triangle ABC, the center of E perpendicularity, A, D, E, F linear, [BD] perpendicular [DC], if Area (BEC) = 8 cm², Area (ABC) = 18 cm²; How much cm² is the area (BDCE)?

ABC is a triangle, [DE] perpendicular [AB], [AC] perpendicular [BC], m (CFA) = 80 °, m (CBA) = 40 °; How many degrees is m (DAC) = x?

ABC is a triangle, [CE] perpendicular [AB], [BD] perpendicular [AC], m (CFD) = 20 °, m (ACB) = 50 °; How many degrees is m (BAC) = x?

ABC is a triangle, | DA | = | DC |, m (BAE) = 10 °, m (DCB) = 20 °, m (DEB) = 80 °; How many degrees is m (AED) = x?

ABC is a triangle, | BD | = root2 cm, | DC | = 1 cm, m (ACB) = 22.5 °, m (CBA) = 15 °; How many degrees is m (DAC) = x?

ABCD rectangle, m (AEF) = m (DEF), m (AEB) = m (BEC), | EF | = 6 cm, | EB | = 8 cm, | AF | = x ;   How many centimeter is x?

If ABC square, m (ALB) = 135 °, | AL | = 1 cm, | LB | = 2 cm; | LC | = x ; How many centimeter is x?

ABCD square, m (EAF) = m (FAD), | DF | = 5 cm, | AE | = 13 cm; | EB | = x; How many centimeter is x?

ABCD rectangle, [DE] perpendicular [CE], m (DCA) = m (ACE), | CF | = 6 cm; | AD | how many centimeter is it?

Continuation of the rectangular question solution …

ABCD parallelogram, [AC] diagonal, [EF] perpendicular [AF], | FE | = 6 cm, | AD | = 8 cm; How many cm² is the area (AEB)?

ABCD is a parallelogram, [DB] perpendicular [BC], m (AFE) = m (EFC), | DE | = | EB |, | FD | = 4 cm, | FC | = 13 cm; | BD | how many centimeter is it?

If CDEF trapezoid, Area (CEDF) = 81 cm², Area (ODE) = 36 cm²; How much cm² is the area (COF)?

ABCD trapezoid, [BA] perpendicular [AC], [BD] perpendicular [DC], | AB | = 6 cm, | BC | = 10 cm; | AD | = How many centimeter is x?

ABCD trapezoid, [BA] perpendicular [CA], | AB | = | AC |, | BD | = | BC | if; How many degrees is m (DBA) = x?

Another solution to the trapezoid question.

If ABC is a triangle, | AB | = 8 units, | BC | = 6 units, | AC | = 4 units; What is the BA.AC scalar product?

In the orthogonal coordinate system A (0,1), B (3,4), [AB] perpendicular [BC], | AC | if; What is the BC.CA product?

Continuation of vectors question solution …