Interactive multiple-choice quiz: 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.
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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 sum of the angles in a triangle is \(180^{\circ}\). Subtracting the known angles \(61^{\circ} + 69^{\circ} = 130^{\circ}\) from \(180^{\circ}\) gives \(50^{\circ}\).
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 \(180^{\circ} - 108^{\circ} = 72^{\circ}\).
The angle y and the exterior angle marked as \(110^{\circ}\) are supplementary because they form a linear pair on a straight line. Therefore, \(y = 180^{\circ} - 110^{\circ} = 70^{\circ}\).
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.
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 \(180^{\circ} - (46^{\circ} + 46^{\circ}) = 88^{\circ}\).
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.
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 \(60^{\circ}\).
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.
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