1.
Which line segment represents the transversal?
Correct Answer
B. The diagonal line intersecting the parallel lines
Explanation
The diagonal line intersecting the parallel lines represents the transversal. A transversal is a line that intersects two or more other lines. In this case, the diagonal line intersects the top and bottom parallel lines, making it the transversal.
2.
From the diagram identify which angles are not corresponding angles.
Correct Answer
B. Angle 1 and Angle 3
3.
Which of the following choices of angles are supplementary to each other?
Correct Answer
B. 1 and 6
Explanation
Angles 1 and 6 are supplementary to each other because the sum of their measures is equal to 180 degrees.
4.
If angle 1 measures 55 degrees, what does angle 7 equal?
Correct Answer
D. 125
Explanation
Angle 7 is an alternate interior angle with angle 1, which means they are on opposite sides of the transversal and the lines they intersect are parallel. Alternate interior angles are congruent, so if angle 1 measures 55 degrees, angle 7 will also measure 55 degrees. Therefore, the given answer of 125 degrees is incorrect.
5.
If the m of angle A is 105º then which of the following statements is true?
Correct Answer
C. The measure of angle c is 105Âº
6.
Name a pair of alternate interior angles:
Correct Answer
A. Angle b & angle f
Explanation
Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines being intersected. In this case, angle b and angle f are alternate interior angles because they are on opposite sides of the transversal (line b) and inside the two lines being intersected (lines f and h).
7.
Name a pair of alternate exterior angles:
Correct Answer
C. Angle e & angle a
Explanation
Alternate exterior angles are a pair of angles that are on the opposite sides of the transversal line and outside the two parallel lines. In this case, angle e and angle a are alternate exterior angles because they are on opposite sides of the transversal line and outside the two parallel lines.
8.
Name a pair of supplementary angles:
Correct Answer
D. Angle g & angle b
Explanation
Supplementary angles are a pair of angles that add up to 180 degrees. In this case, angle g and angle b are the correct answer because when they are added together, they equal 180 degrees.
9.
Name a pair of vertical angles:
Correct Answer
D. Angle A & angle G
Explanation
Vertical angles are formed when two lines intersect. They are opposite angles and share the same vertex. In this case, angle A and angle G are vertical angles because they are formed by the intersection of two lines and have the same vertex.
10.
Name a pair of corresponding angles:
Correct Answer
D. Angle c & angle a
Explanation
The pair of corresponding angles is angle c and angle a. Corresponding angles are formed when a transversal intersects two parallel lines. In this case, angle c and angle a are on the same side of the transversal and are in corresponding positions in relation to the parallel lines.
11.
In triangle ABC, angle A = 90º and angle B = 25º. In triangle DEF, angle E = 25º and angle F = 65º. Are the triangles similar?
Correct Answer
A. True
Explanation
The triangles are similar because they have two pairs of congruent angles. In triangle ABC, angle B is congruent to angle E in triangle DEF, and angle A is congruent to angle F. Similar triangles have corresponding angles that are congruent, which is the case here.
12.
What is y?
Correct Answer
C. 80
13.
What is the missing angle?
Correct Answer
B. 47
Explanation
The missing angle can be found by subtracting the given angles from 180 degrees (since the sum of the angles in a triangle is 180 degrees). In this case, 133 + 43 = 176. Subtracting 176 from 180 gives us the missing angle of 4 degrees. However, since 47 is given as the answer, it seems that there may be an error in the question or the provided angles.
14.
What is x?
Correct Answer
A. 42
15.
What is x?
Correct Answer
C. 30
16.
Given that ST is parallel to QR, Are triangle SPT and triangle QPR similar and explain:
Correct Answer
D. Yes, because angle Q corresponds to angle S and angle R corresponds to angle T. Since two angles are congruent, the two triangles are similar.
Explanation
Yes, the triangles SPT and QPR are similar because angle Q corresponds to angle S and angle R corresponds to angle T. This means that the two triangles have two pairs of congruent angles, which is a similarity criterion. Therefore, the two triangles are similar.