use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles
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Q 1/10
Score 0
Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true?
300
x = 110, because 180 – (84 + 26) = 70 and 180 – 70 = 110
x = 238, because 180 – 26 = 154 and 154 + 84 = 238
x = 290, because 84 + 26 = 110 and 180 + 110 = 290
x = 70, because 84 + 26 = 110 and 180 – 110 = 70
Q 2/10
Score 0
In each diagram line f is parallel to line g, and line h intersects lines f and g. Based on the diagrams, which statement is true?
300
The value of x cannot be determined from the diagram.
The value of x is 75 because the two angles shown in each diagram are supplementary.
The value of x is 105 because the two angles shown in each diagram are congruent.
The value of x is less than 90 because the two angles shown in each diagram are acute angles.
10 questions
Q.
Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true?
1
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
In each diagram line f is parallel to line g, and line h intersects lines f and g. Based on the diagrams, which statement is true?
2
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
In each diagram line a is parallel to line b, and line c intersects lines a and b. Based on the diagrams, which statement is true?
3
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
In each diagram line x is parallel to line y, and line z intersects lines x and y. Based on the diagrams, which statement is true?
4
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
Four triangles are shown. Based on these triangles, which statement is true?
5
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
The picture shows a triangle with an exterior angle. Based on the picture, what is the measurement of x in degrees?
6
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
The picture shows a triangle with an exterior angle. Based on the picture, what is the measurement of w in degrees?
7
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
The picture shows a triangle with an exterior angle. Based on the picture, what is the measurement of x in degrees?
8
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
In each diagram line Q is parallel to line R, and line S intersects lines Q and R. Based on the diagram, what is the value of x?
9
300 sec
8.8.D: Expressions, Equations and Relationships
Q.
The following diagram shows sets of triangles. Using the angle-angle criterion, which set of triangles are similar?