Interactive multiple-choice quiz: اختبار الرياضيات الصف السابع الوحدة الثامنة الفصل الثالث
يغطي هذا الاختبار مفاهيم الهندسة الأساسية لطلاب الصف السابع، بما في ذلك قياس الزوايا (الزوايا المتقابلة بالرأس والمكملة)، وخصائص المثلثات وتصنيفها، ومفاهيم الرسم الهندسي (مقياس الرسم)، وخصائص الأشكال ثلاثية الأبعاد (المجسمات) مثل المنشور والمستطيل والهرم الخماسي، بالإضافة إلى مقاطع العرض للمجسمات.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
The angles shown are vertically opposite angles, which are always equal. Therefore, 2x = 120. Dividing both sides by 2 gives x = 60.
Question 2
Points: 1
find the value of y in the provided figure:
Explanation
The angles are supplementary because they form a straight line. Thus, 3y + 120 = 180. Subtracting 120 gives 3y = 60, so y = 20.
Question 3
Points: 1
If \(\angle A\) and \(\angle B\) are supplementary angles, and the measure of \(\angle A\) is 115, what is the measure of \(\angle B\)?
Explanation
Supplementary angles have a sum of \(180^{\circ}\). Therefore, \(\angle B = 180 - 115 = 65\).
Question 4
Points: 1
Levi is designing a kite. Based on the geometric relationships in the figure, what is the measure of \(\angle A\)?
Explanation
In the figure, the angles 6x+4 and 4x+26 are vertically opposite and thus equal: \(6x + 4 = 4x + 26 \Rightarrow 2x = 22 \Rightarrow x = 11\). The value of this angle is \(6(11) + 4 = 70^{\circ}\). Since \(\angle A\) is vertically opposite to this, \(\angle A = 70^{\circ}\).
Question 5
Points: 1
Truman's father is designing a toy car ramp. He determined that the current measure of angle x needs to be increased by 20%. Based on the figure, what will be the measure of the new angle?
Explanation
Angle x and the \(160^{\circ}\) angle are supplementary, so \(x = 180 - 160 = 20^{\circ}\). Increasing 20 by 20% means adding 0.20 × 20 = 4, resulting in 20 + 4 = 24.
Question 6
Points: 1
What is the sum of the interior angles of any triangle?
Explanation
The triangle angle sum theorem states that the sum of the interior angles of any triangle is always \(180^{\circ}\).
Question 7
Points: 1
The towns of Ripon, Sparta, and Walker form a triangle. Given the measures in the figure, find the value of x, and classify the triangle by its angles and sides.
Explanation
First, find x: x = 180 - (104 + 38) = 180 - 142 = 38. The angles are \(38^{\circ}, 104^{\circ}, 38^{\circ}\). Since one angle is greater than \(90^{\circ}\), it is obtuse. Since two angles are equal, it is isosceles.
Question 8
Points: 1
In a right triangle, what must be the sum of the two non-right (acute) angles?
Explanation
Since the total sum of angles in a triangle is \(180^{\circ}\) and a \right angle is \(90^{\circ}\), the sum of the other two angles must be \(180 - 90 = 90^{\circ}\).
Question 9
Points: 1
What is a scale drawing?
Explanation
A scale drawing is a proportional representation of an object, scaled up or down from its real size.
Question 10
Points: 1
On a map, the scale is 1cm:50km. If the distance between two cities on the map is 4cm, what is the actual distance?
Explanation
Using the scale factor, 1 cm = 50 km. For 4 cm, the actual distance is 4 × 50 = 200 km.
Question 11
Points: 1
Which of the following is a characteristic of a polyhedron?
Explanation
A polyhedron is defined as a three-dimensional solid whose surfaces are all flat polygons.
Question 12
Points: 1
How many faces, edges, and vertices does a rectangular prism have?
Explanation
A rectangular prism has 6 faces (top, bottom, and 4 sides), 12 edges, and 8 vertices.
Question 13
Points: 1
Refer to the provided 3D figure. Identify the figure and determine the correct number of its faces, edges, and vertices.
Explanation
The figure shown is a box-like shape with rectangular faces, which is a rectangular prism. It has 6 faces, 12 edges, and 8 vertices.
Question 14
Points: 1
Which of the following describes the cross section of a cylinder and a vertical plane as shown?
Explanation
A vertical plane cutting through a cylinder perpendicularly to its bases creates a rectangular cross-section.
Question 15
Points: 1
The figure shown is a pentagonal pyramid. Based on the geometric properties of this figure, how many faces, edges, and vertices does it have?
Explanation
A pentagonal pyramid has 1 base (pentagon) and 5 triangular faces, making 6 faces. It has 5 edges around the base and 5 connecting to the apex, making 10 edges. It has 5 vertices on the base and 1 apex, making 6 vertices.
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