This worksheet focuses on the fundamental postulates and theorems used to prove triangle congruence, such as Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Hypotenuse-Leg (HL). It also covers essential geometric properties like the Reflexive Property and the relationships between angles formed when parallel lines are cut by a transversal.
رقم الاختبار982
الصفالصف التاسع المتقدم
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025/2026
عدد الأسئلة7
إجمالي النقاط7
تاريخ الإضافة2026-04-23
الزيارات8
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
What property is used when two figures share a side?
Explanation
The Reflexive Property of Congruence states that a segment or angle is congruent to itself, which is applied when two triangles share a common side.
Question 2
Points: 1
Which postulate or theorem is used to prove these triangles congruent?
Explanation
The diagram indicates that two pairs of sides and the included angle are congruent, which corresponds to the Side-Angle-Side (SAS) postulate.
Question 3
Points: 1
Which postulate or theorem is used to prove these triangles congruent?
Explanation
The triangles are right triangles with congruent hypotenuses (6 cm) and one pair of congruent legs (3 cm), satisfying the Hypotenuse-Leg (HL) theorem.
Question 4
Points: 1
Which postulate or theorem is used to prove these triangles congruent?
Explanation
The triangles share a common side and have two pairs of congruent angles adjacent to that side (due to parallel lines and alternate interior angles), satisfying the Angle-Side-Angle (ASA) postulate.
Question 5
Points: 1
Which postulate or theorem is used to prove these triangles congruent?
Explanation
The diagram shows two pairs of congruent angles and one pair of congruent non-included sides, which corresponds to the Angle-Angle-Side (AAS) theorem.
Question 6
Points: 1
If you are given parallel lines, which reason could be used in a proof to show congruent angles?
Explanation
When two parallel lines are cut by a transversal, alternate interior angles, alternate exterior angles, and corresponding angles are all congruent.
Question 7
Points: 1
Which postulate or theorem can only be used in right triangles?
Explanation
The HL (Hypotenuse-Leg) theorem is a special case that applies specifically to right-angled triangles to prove congruence.
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