اختبار إلكتروني: Isosceles and Equilateral Triangles
This worksheet focuses on the fundamental properties and classifications of triangles. It covers how to identify triangles based on their side lengths—equilateral (all sides equal), isosceles (at least two sides equal), and scalene (all sides different)—as well as their angles, including acute, right, and obtuse classifications. Students will also practice calculating missing angles using the principle that the sum of interior angles in any triangle is \(180^{\circ}\), alongside understanding geometric concepts like complementary angles and exterior angles.
رقم الاختبار981
الصفالصف التاسع المتقدم
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025/2026
عدد الأسئلة15
إجمالي النقاط15
تاريخ الإضافة2026-04-23
الزيارات7
المعلم أو الناشرMaya Dayoub
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.
Question 1
Points: 1
Which would be the best classification for the triangle shown?
Explanation
The triangle has three equal angles of \(60^{\circ}\) and three equal sides of \(16.4\), making it both equiangular and equilateral.
Question 2
Points: 1
What is the value of the missing angle?
Explanation
The sum of the angles in a triangle is \(180^{\circ}\). Subtracting the known angles \(61^{\circ} + 69^{\circ} = 130^{\circ}\) from \(180^{\circ}\) gives \(50^{\circ}\).
Question 3
Points: 1
Find the value of x:
Explanation
In an isosceles triangle, the base angles are equal. The sum of the base angles is \(54^{\circ} + 54^{\circ} = 108^{\circ}\). The vertex angle \(x\) is \(180^{\circ} - 108^{\circ} = 72^{\circ}\).
Question 4
Points: 1
The sides of an equilateral triangle have...
Explanation
By definition, an equilateral triangle is a triangle in which all three sides are of equal length.
Question 5
Points: 1
Solve for y
Explanation
The angle \(y\) and the exterior angle marked as \(110^{\circ}\) are supplementary because they form a linear pair on a straight line. Therefore, \(y = 180^{\circ} - 110^{\circ} = 70^{\circ}\).
Question 6
Points: 1
Find the value of x.
Explanation
The diagram shows an isosceles triangle where the base angles are equal. According to the Isosceles Triangle Theorem, the sides opposite equal angles are also equal, so \(x = 9\).
Question 7
Points: 1
What is the measure of \(\angle A\)?
Explanation
Since sides \(AB\) and \(AC\) are marked as equal, the triangle is isosceles, meaning the base angles \(\angle B\) and \(\angle C\) are both \(46^{\circ}\). The measure of \(\angle A\) is \(180^{\circ} - (46^{\circ} + 46^{\circ}) = 88^{\circ}\).
Question 8
Points: 1
What is the measure of BC?
Explanation
The markings (three hashes on each side) indicate that all three sides of the triangle are equal, making it an equilateral triangle. Since side \(AB\) is \(12\), the side \(BC\) must also be \(12\).
Question 9
Points: 1
What is the measure of \(\angle S\)?
Explanation
All sides of the triangle are marked as equal, which identifies it as an equilateral triangle. In every equilateral triangle, each interior angle measures exactly \(60^{\circ}\).
Question 10
Points: 1
Look at the sides of this triangle. What type of triangle is this?
Explanation
The sides are marked with one, two, and three hashes respectively, indicating that all three side lengths are different. A triangle with no equal sides is classified as scalene.
Question 11
Points: 1
Look at the sides of this triangle. What type of triangle is this?
Explanation
The triangle has markings on two of its sides, indicating they are of equal length. A triangle with at least two equal sides is an isosceles triangle.
Question 12
Points: 1
In an ______________ triangle, all three angles are less than 90 degrees.
Explanation
An acute triangle is defined as a triangle in which all internal angles measure less than \(90^{\circ}\).
Question 13
Points: 1
What kind of triangle is this?
Explanation
The triangle contains an angle labeled as \(90^{\circ}\). Any triangle with a \(90^{\circ}\) angle is a \right triangle.
Question 14
Points: 1
Look at the sides and angles of this triangle. Which type of triangle is pictured?
Explanation
The triangle features a right-angle square symbol and hash marks indicating two sides are equal, which classifies it as a right isosceles triangle.
Question 15
Points: 1
What are complementary angles?
Explanation
Complementary angles are defined as two angles whose measures sum to exactly \(90^{\circ}\).
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