Geometry – Unit 1 Assessment – G-CO.1, G-CO.3, G-CO.4, G-CO.6, G-CO.7, G-CO.8, G-CO.9, G-CO.10, G-CO.11

1. Question

1. Which of these real life examples represent perpendicular lines? Select all that apply.

A. Train tracks
B. The posts and crossbar in a soccer goal
C. The trajectory of a firework
D. The legs of a right triangle

2. Question

2. Which of the following are rigid transformations?

A. Reflection of rectangle WXYZ in the y-axis, followed by a dilation of factor 2
B. A dilation of factor 0.5 followed by a translation of 5 places vertically
C. Translation of ΔABC 4 places horizontally and 3 vertically, and a reflection in the x axis.
D. Rotation of 60 degrees followed by a reflection in the line x = -3

3. Question

3. ΔXYZ and ΔHIJ are congruent right triangles. If ∠Y is 46 degrees, What is the measure of ∠I?

A. 46 degrees
B. 44 degrees
C. 90 degrees
D. 54 degrees

4. Question

4. In order to prove that two triangles are congruent, you will need:

A. Two sides and an included angle
B. Only the three angles
C. Only the three sides
D. A corresponding angle and a corresponding side

5. Question

5. The figure below shows a vertical flagpole supported by 2 lengths of rope. Joe has to replace the rope with metal wire. Select the statement(s) which would help Joe to calculate how much wire he needs quickly and easily.

A. Joe, you need 18m of wire, 8 + 5 + 5 = 18m!
B. Joe, you got a perpendicular bisector on a line segment here, you need 16m of wire!
C. Joe, there is a pair of corresponding angles, measure those and you can figure this out with trigonometry
D. Joe, you need to use the Pythagorean theorem to figure out the missing side, and go from there

6. Question

6. The line segment AB joins the midpoints of the two sides of the triangle shown in the figure. Using this information, find the angle measure of the angle marked ‘G’.

A. 65 degrees
B. 125 degrees
C. 60 degrees
D. none of the above

7. Question

7. Select the true statements from the options given below:

A. The median of a triangle is a line segment joining a vertex to the midpoint on the opposite side.
B. The medians of a triangle meet at the circumcenter
C. The medians of a triangle meet at the centroid
D. The median of a triangle is a line segment drawn from a vertex to a point perpendicular to the opposite side.

8. Question

8. From the options below, which angle in the parallelogram shown is congruent to ∠ABC?

A. ∠ADC
B. ∠BCD
C. ∠ACD
D. ∠BAD

9. Question

9. ΔABC is reflected in the y axis, then rotated by 74o counter clockwise to form ΔA’B’C’.

If ∠BAC = 52o what is the angle measure of ∠B’A’C’?

A. 52o
B. 26o
C. 126o
D. 62o
E. 74o

10. Question

11. How many degrees would this shape have to be rotated in order to carry it onto itself?

A. 360
B. 180
C. 90
D. 45