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.
What is the name of the triangle congruent to \(\Delta RPE\) ?
Explanation
By matching the side tick marks and the marked angle: vertex R corresponds to T, vertex P corresponds to F, and vertex E (marked angle) corresponds to C. Therefore, \(\Delta RPE \cong \Delta TFC\).
Question 2
Points: 1
Which is a correct congruence statement?
Explanation
Matching sides with identical tick marks shows that vertex D corresponds to K, vertex B corresponds to J, and vertex C corresponds to I. Thus, the statement \(\Delta DBC \cong \Delta KJI\) correctly represents the correspondence.
Question 3
Points: 1
Complete the congruence statement: \(\Delta OGD \cong \Delta \) ______
Explanation
Based on side correspondence (tick marks), vertex O corresponds to P, G corresponds to R, and D corresponds to C. Therefore, the triangle congruent to \(\Delta OGD\) is \(\Delta PRC\).
Question 4
Points: 1
Which is a correct congruence statement?
Explanation
By comparing sides with 1, 2, and 3 tick marks, we find that vertex L maps to P, N maps to R, and M maps to Q. This leads to the correct statement \(\Delta LNM \cong \Delta PQR\).
Question 5
Points: 1
Based on the congruency statement \(\Delta EFI \cong \Delta HGI\), find the corresponding angle: \(\angle F = \) ___
Explanation
In the congruence statement \(\Delta EFI \cong \Delta HGI\), the letter F is in the second position, which corresponds to the letter G in the second position of the second triangle. Thus, \(\angle F \cong \angle G\).
Question 6
Points: 1
Given the congruence \(\Delta UVW \cong \Delta UEC\), identify the corresponding angle: \(\angle W \cong ?\)
Explanation
Since vertex W is in the third position of the first triangle's name and vertex C is in the third position of the second triangle's name, \(\angle W\) corresponds to \(\angle C\).
Question 7
Points: 1
Given the congruence \(\Delta QRS \cong \Delta QUV\), identify the corresponding side: \(\overline{SQ} \cong ?\)
Explanation
In the statement \(\Delta QRS \cong \Delta QUV\), the segment SQ consists of the third and first vertices. The corresponding vertices in the second triangle are V and Q, making \(\overline{VQ}\) the corresponding side.
Question 8
Points: 1
Given the congruence \(\Delta KJL \cong \Delta SLQ\), identify the corresponding side: \(\overline{JL} \cong ?\)
Explanation
The segment JL corresponds to the middle and last vertices of the first triangle. The middle and last vertices of the second triangle are L and Q, so \(\overline{JL} \cong \overline{LQ}\).
Question 9
Points: 1
Given the congruence \(\Delta FEG \cong \Delta QRS\), identify the corresponding side: \(\overline{GF} \cong ?\)
Explanation
The segment GF uses the third and first vertices. The corresponding vertices in the second triangle are S and Q, so \(\overline{GF} \cong \overline{SQ}\).
Question 10
Points: 1
If \(\Delta BIG \cong \Delta LAD\), which angle is congruent to \(\angle B\) ?
Explanation
In the congruence statement, vertex B is the first letter and corresponds to vertex L, which is the first letter of the second triangle.
Question 11
Points: 1
If \(\Delta BIG \cong \Delta LAD\), which side is congruent to BG ?
Explanation
Side BG is formed by the first and third vertices. The corresponding first and third vertices in the second triangle are L and D, so \(BG \cong LD\).
Question 12
Points: 1
If \(\Delta GAM \cong \Delta ERS\), what angle is congruent to \(\angle RES\) ?
Explanation
Angle \(\angle RES\) corresponds to vertices at positions 2-1-3 in the triangle name ERS. The vertices at the same positions in GAM are A-G-M. Therefore, \(\angle RES \cong \angle AGM\).
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