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Q 1/20
Score 0
In triangles PQR and STU, if side PQ is equal to side ST, angle PQR is greater than angle STU, and side QR is equal to side TU, what does this tell us about side PR and side SU based on the Hinge Theorem?
30
PR is longer than SU
PR is shorter than SU
PR is equal to SU
PR and SU cannot be compared
Q 2/20
Score 0
In triangles ABC and DEF, suppose that side AB is equal to side DE, side BC is shorter than side EF, and angle ABC is equal to angle DEF. What can be concluded about the lengths of sides AC and DF according to the Converse of the Hinge Theorem?
30
AC and DF cannot be compared
AC is longer than DF
AC is shorter than DF
AC is equal to DF
20 questions
Q.
In triangles PQR and STU, if side PQ is equal to side ST, angle PQR is greater than angle STU, and side QR is equal to side TU, what does this tell us about side PR and side SU based on the Hinge Theorem?
1
30 sec
Q.
In triangles ABC and DEF, suppose that side AB is equal to side DE, side BC is shorter than side EF, and angle ABC is equal to angle DEF. What can be concluded about the lengths of sides AC and DF according to the Converse of the Hinge Theorem?
2
30 sec
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
30 sec
Q.
In two triangles, if two sides of one triangle are equal to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second triangle, what can you say about the third sides according to the Hinge Theorem?
13
30 sec
Q.
If two triangles have two sides of equal length, and the third side of the first triangle is longer than the third side of the second triangle, what can you conclude about the included angles of these triangles according to the converse of the Hinge Theorem?
14
30 sec
Q.
In triangle ABC, if side AB is 7 cm, side AC is 10 cm, and angle A is 60 degrees, what can you conclude about side BC if triangle DEF has side DE equal to 7 cm, side DF equal to 10 cm, and angle D equal to 45 degrees?
15
30 sec
Q.
If two triangles have two sides of equal lengths and the included angle of the first triangle is smaller than the included angle of the second triangle, what does the Hinge Theorem tell us about the third side of the first triangle compared to the third side of the second triangle?
16
30 sec
Q.
In triangles XYZ and UVW, if XY = UV and XZ = UW, and angle X is smaller than angle U, what can you infer about the length of side YZ compared to side VW according to the Hinge Theorem?
17
30 sec
Q.
In triangle PQR, side PQ = 8 cm, side PR = 6 cm, and angle P = 50 degrees. In triangle STU, side ST = 8 cm, side SU = 6 cm, and angle S = 40 degrees. According to the Hinge Theorem, what can you conclude about the length of QR compared to TU?
18
30 sec
Q.
In triangle ABC, if AB = 12 cm, AC = 9 cm, and angle A = 70 degrees, and in triangle DEF, DE = 12 cm, DF = 9 cm, and angle D = 50 degrees, what can you say about the length of side BC compared to side EF according to the Hinge Theorem?
19
30 sec
Q.
In two triangles, if the sides with lengths 5 cm and 7 cm are equal in both triangles, but one triangle has an included angle of 120 degrees while the other has an included angle of 90 degrees, what does the Hinge Theorem suggest about the third side of the triangle with the 120-degree angle compared to the third side of the triangle with the 90-degree angle?
