Tema
Q:
Point \( C \) with coordinates \( (50,30) \) is mapped onto \( C^{\prime} \) through a translation by vector \( \langle-3,6\rangle \).
What are the coordinates of \( C^{\prime} \) ?
- \( (47,36) \)
- \( (53,24) \)
- \( (47,24) \)
- \( (53,36) \)
Q:
Identify the measure of each interior angle of a regular 15 -
gon.
Q:
Analitik düzlemde
\( d_{1}: 2 x+y-12=0 \) ve \( d_{2}: x-y+6=0 \)
doğruları veriliyor.
9. \( d_{1} \) ve \( d_{2} \) doğruları ile \( x \) ekseni arasında
kalan alanın kaç birimkare olduğunu bulu-
nuz.
10. \( d_{1} \) ve \( d_{2} \) doğruları ile eksenler arasında
kalan alanın kaç birimkare olduğunu bulunuz.
Q:
2. In a circle with centre \( O \) and radius \( 13 \mathrm{~cm}, \mathrm{AB} \) is a chord. If \( \mathrm{OM} \perp \mathrm{AB} \) and \( O M=5 \)
is the length of \( A B \) ?
3. In a circle of radius 7 cm , find the distance of a chord of length 9 cm from the cent
4. In circle of radius 13 cm , a chord is drawn at a distance 12 cm from the centre.
length of the chord.
5. A chord of a circle is 6 cm in length and its distance from the centre is 4 cm . Find th
of the same circle.
Q:
wer the following questions:
hoose the correct answer from the given ones :
If the lengths of two sides of a triangle are 2 cm . and 5 cm ., then the perimeter of the
triangle \( \in \)...........
Q:
1. In a circle with centre \( O \) and radius \( 5 \mathrm{~cm}, A B \) is a chord of length 8 cm . If \( O M \perp A B \), what
2. In a length of \( O M \) ?
in the length of centre \( O \) and radius \( 13 \mathrm{~cm}, A B \) is a chord. If \( O M \perp A B \) and \( O M=5 \mathrm{~cm} \), wh
3. In a circle of radius 7 cm , find the distance of a chord of length 9 cm from the centre.
4. In a circle of radius 13 cm , a chord is drawn at a distance 12 cm from the centre. Find th
length of the chord.
5. A chord of a circle is 6 cm in length and its distance from the centre is 4 cm . Find the radius
of the same circle.
Q:
1. \( A(4 ; 3 ;-2), \quad B(-3 ;-1 ; 4), C(2 ; 2 ; 1\} ; \)
\( a=\overrightarrow{A B}, b=\overrightarrow{A C}, c=\overrightarrow{C B}, \quad d=2 c-5 b, \quad l=C B, \quad \alpha=4, \quad \beta=3 \)
2. \( a=5 m-3 n, \quad b=m+3 n, \quad|m|=1, \quad|n|=1, \quad \varphi=\frac{\pi}{2} \).
3. \( a=\{1 ; 3 ; 0\}, \quad b=\{2 ;-1 ; 1\}, \quad c=\{0 ;-1 ; 2\}, \quad d=\{6 ; 12 ;-1\} \).
Q:
If the radius of a sphere is doubled, how does the surface area change compared to the original surface area?
Q:
6. У трикутнику \( A B C \) сторона \( A C=5 \sqrt{2} \mathrm{cM}, \angle B=45^{\circ}, \angle C=18^{\circ} \).
Знайдіть довжину дуги \( A B \) кола, описаного навколо цього трикутника
(3 бали)
Q:
В \( \triangle \mathrm{ABC} \angle \mathrm{C}=90^{\circ} \). Точка Д ве лежит в плоскости ABC , причем ДС \( \perp \mathrm{AC} \). Дожажите, что прямая
AC перпевдикудярна к плоскости ДСВ.
Постройте сечение тетразра гиоскостьо, проходящей через точки \( \mathrm{K}, \mathrm{M} \) и P .
Pon a prueba tus conocimientos sobre Geometría!
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