Introduction for math geometry activities:
The geometry activities are one of the most important branches of Mathematics. Math geometry activities gives the idea of various geometrical shapes and figures in our daily life such as articles in the houses, wells, buildings, bridges etc.
The word ‘Geometry’ means learns of properties of figures and shapes and the relationship between them. The geometry shapes are point, line, square, rectangle, triangle, and circle. From this we can learn that the math geometry activities have begun from ancient times. The math geometry activities example problems and practice problems are given below.
Example problems - math geometry activities:
Example problem 1:
In the ?ABC the angle B is bisected and the bisector meets AC in D. If ?ABC = 80° and ?BDC = 95°, find ?A and ?C.
Solution: Let us See the Figure
From ?BDC, 40° + 95° + ?C = 180°
After solving this, We get
? ?C = 180° - 135° = 45°
From ?ABC, ?A + ?B +?C = 180°
?A + 80° + 45° = 180°
After solving this, We get
?A = 180° - 125° = 55°.
Example problem 2:
If the angles of a triangle are in the ratio 1 : 3 : 6, find them.
Solution:
Let the angles be 1x, 3x, 6x.
Then 1x + 3x + 6x = 180°
After simplify this, We get
10x = 180° or x = 18°.
The angles are 1 × 18°, 3 × 18°, 6 × 18°,
After simplify this, We get
The angles are 18°, 54°, 108°.
Practice problems - math geometry activities:
Practice problem 1:
Find out the geometry equation of straight line passing through the given point (2, 3) and cutting off
Determine the equal intercepts along the positive directions of both the axes.
Answer: x + y = 5.
Practice problem 2:
Find the points on y-axis,then perpendicular distance from the straight line 4x - 3y - 12 = 0 is 3.
Answer: points are (0, 1) and (0, - 9)
Practice problem 3:
Find out the equation of straight line passing through the given intersection of the straight lines 2x + y = 8 and 3x - y = 2 and through the point (2, - 3).
Answer: x = 2
The geometry activities are one of the most important branches of Mathematics. Math geometry activities gives the idea of various geometrical shapes and figures in our daily life such as articles in the houses, wells, buildings, bridges etc.
The word ‘Geometry’ means learns of properties of figures and shapes and the relationship between them. The geometry shapes are point, line, square, rectangle, triangle, and circle. From this we can learn that the math geometry activities have begun from ancient times. The math geometry activities example problems and practice problems are given below.
Example problems - math geometry activities:
Example problem 1:
In the ?ABC the angle B is bisected and the bisector meets AC in D. If ?ABC = 80° and ?BDC = 95°, find ?A and ?C.
Solution: Let us See the Figure
From ?BDC, 40° + 95° + ?C = 180°
After solving this, We get
? ?C = 180° - 135° = 45°
From ?ABC, ?A + ?B +?C = 180°
?A + 80° + 45° = 180°
After solving this, We get
?A = 180° - 125° = 55°.
Example problem 2:
If the angles of a triangle are in the ratio 1 : 3 : 6, find them.
Solution:
Let the angles be 1x, 3x, 6x.
Then 1x + 3x + 6x = 180°
After simplify this, We get
10x = 180° or x = 18°.
The angles are 1 × 18°, 3 × 18°, 6 × 18°,
After simplify this, We get
The angles are 18°, 54°, 108°.
Practice problems - math geometry activities:
Practice problem 1:
Find out the geometry equation of straight line passing through the given point (2, 3) and cutting off
Determine the equal intercepts along the positive directions of both the axes.
Answer: x + y = 5.
Practice problem 2:
Find the points on y-axis,then perpendicular distance from the straight line 4x - 3y - 12 = 0 is 3.
Answer: points are (0, 1) and (0, - 9)
Practice problem 3:
Find out the equation of straight line passing through the given intersection of the straight lines 2x + y = 8 and 3x - y = 2 and through the point (2, - 3).
Answer: x = 2
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