Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K. (1 point)
G, H, I
L, H, I
G, H, J
G, I, J
2. Use the diagram to identify a segment parallel to HE line.
parallel rectangle (1 point)
BE line
CF line
AB line
AD line
3. The measure of angle A is 124°. Classify the angle as acute, right, obtuse, or
straight. (1 point)
acute
straight
right
obtuse
4. Find the measures of the complement and the supplement of an angle with a measure of 60°. (1 point)
complement, 30°; supplement, 120°
complement, 330°; supplement, 120°
complement, 160°; supplement, 160°
complement, 220°; supplement, 70°
5. Name the angle that is supplementary to angle C O D.
A diagram is shown. (1 point)
Angle upper C upper O upper A
Angle upper B upper O upper C
Angle upper C upper O upper B
Angle upper B upper O upper A
6. What is the value of e?
Two intersecting lines are shown with one line oriented from the upper left to lower right and the second line from the lower left to the upper right. The angle formed above the point of intersection is labeled 132 degrees. From that angle clockwise, the angles are labeled c, d, and e. (1 point)
17°
48°
136°
360°
7. Classify the triangle with angles with measures 48°, 62°, and 70° as acute, right, or obtuse. (1 point)
acute
right
obtuse
8. Find the value of x in the triangle.
right triangle
Not drawn to scale. (1 point)
2°
29°
63°
299°
9. A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that had two extra bases in the field, what type of polygon would the bases form? (1 point)
pentagon
hexagon
octagon
decagon
10. Which is the most descriptive name for the shape below?
shape (1 point)
square
rhombus
quadrilateral
rectangle
11. Which figures appear to be congruent?
An image of 5 triangles on a 9 by 11 grid is shown. (1 point)
1, 4
1, 4, and 5
1 and 5
4 and 5
12. Which statement is true about the following pair of rectangles?
Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters. (1 point)
They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.
13. In which figure is the dashed line a line of symmetry? (1 point)
shape
right triangle
shape
shape
14. Which figure has no line of symmetry? (1 point)
shape
moon
arrow
half circle
15. Identify the pair of figures in which the second figure is a translation of the first figure. (1 point)
shapes
shapes
shapes
16. A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades. (1 point)
120°
60°
90°
72°
17. What kind of transformation is shown in the picture?
Two identical quadrilaterals with the same orientation are shown, one to the left and a second to the right side of the figure. Each has a small blue circle in its interior near the upper vertex. A blue right pointing arrow is shown between them. (1 point)
rotation
reflection
translation
none of these
18. Select the word to make the statement true.
Similar polygons are ___ different shapes. (1 point)
always
sometimes
never
19. How many lines of symmetry does a square have? (1 point)
0
2
4
6
20. Which pair of transformations to the figure shown below would produce an image that is on top of the original(same position, shape, and size)?
A composite figure of a square with an isosceles triangle on top of the square is shown. The base of the triangle is the top side of the square. To the right of the figure is a vertical line with arrows pointing up and down, and under the figure is a horizontal line with arrow pointing to the left and right. (1 point)
a translation to the right and a reflection over the horizontal line of reflection
a translation down and a reflection over the horizontal line of reflection
a translation to the right and a reflection over the vertical line of reflection
a counterclockwise 90° turn and reflection over the horizontal line of reflection
21. Geoffrey draws a triangle. One of the angles measures 75° and one of the angles measures 40°. What is the measure of the third angle? (1 point)
180°
115°
105°
65°
Short Answer
Note: Your teacher will grade your responses to the next two questions to ensure you receive proper credit for your answers.
22. Classify the triangle by its angles and its sides. Explain how you knew which classifications to use.
A triangle has sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.
not drawn to scale
(3 points)
23. What kind of transformation is shown below? Explain how you knew which type of transformation it was.
The figure shows an original on the left and the image on the right.The original figure is a flower with a black circle center and 4 petals. The upper left petal is purple; the upper right petal is blue; the lower right petal is red; and the lower left petal is green.
The image on the right is a flower with a black circle center and 4 petals. The upper left petal is blue; the upper right petal is purple; the lower right petal is green; and the lower left petal is red. (2 points)
22. The triangle is scalene because no sides are congruent. It is also acute because all angles are less than 90 degrees. I knew which classifications to use based on the given information about the side lengths and angle measures.
23. The transformation shown is a rotation because the petals of the flower have been moved around the center in a circular motion, but their shape and size have not been altered. I knew it was a rotation because the flower was still the same shape and size, just in a different orientation.
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K. (1 point)
G, H, I
L, H, I
G, H, J
G, I, J
G, I, K
Bot GIK is not an option
Apologies for the mistake, then the correct answer is G, H, J.
Use the diagram to identify a segment parallel to HE line.
parallel rectangle (1 point)
BE line
CF line
AB line
AD line
CF line
The measure of angle A is 124°. Classify the angle as acute, right, obtuse, or
straight. (1 point)
acute
straight
right
obtuse
obtuse
Find the measures of the complement and the supplement of an angle with a measure of 60°. (1 point)
complement, 30°; supplement, 120°
complement, 330°; supplement, 120°
complement, 160°; supplement, 160°
complement, 220°; supplement, 70°