Draw the LINE
A line segment has:
a. Two endpoints
b. Three endpoints
c. No endpoints
d. One endpoint
a. Two endpoints
What has no length, width, or depth, and is represented by a dot?
a. Ray
b. Segment
c. Point
d. Line
c. Point
True or False: Every triangle has at least two acute angles.
a. True
b. False
a. True
Angles that sum up to 90° are known as
A parallelogram has a length 1/4 of its base. If the length of the base is 400 cm, find its perimeter.
A line goes through 2 points: how many more points lie on that line?
a. None
b. One
c. Infinitely many
d. Two
c. Infinitely many
Two lines intersect at one point. How many points do they share?
a. None
b. One
c. Two
d. All points
b. One
A triangle has sides of 3 cm, 4 cm, and 5 cm. What type of triangle is it?
a. Equilateral
b. Isosceles
c. Right
d. Acute
c. Right
The sum of all angles around a point equals
a. 360°
By what factor will the perimeter of the parallelogram increase if the sides of a parallelogram are tripled.
(Use a compass and construct a parallelogram for extra points)
Which of these is NOT a line segment?
a. Segment AB
b. Segment XY
c. Segment HI
d. Circle O
d. Circle O
Three points lie on the same straight line. What do we call them?
a. Coplanar
b. Noncollinear
c. Collinear
d. Skewed
c. Collinear
If the largest angle in a triangle is 70°, what is the least possible value of the smallest angle of the triangle?
d. 40°
Angles that are opposite to each other when two straight lines intersect each other are called
The perimeter of a parallelogram is 58 units. If one of the parallel sides is 16 units, then find the measure of the other parallel side.
Two lines in the same plane that never intersect are called:
a. Intersecting lines
b. Perpendicular lines
c. Parallel lines
d. Skew lines
c. Parallel lines
Can three points be coplanar but not collinear?
a. No, all coplanar points are collinear
b. Yes, as long as not on the same line
c. Only if they form a triangle
d. Only in 3D space
b. Yes, as long as not on the same line
A triangle has angles of x°, x°, and (3x – 10)°. Find the value of x.
a. 35
b. 40
c. 38
d. 42
c. 38
A triangle’s interior angles are in a 2:3:4 ratio. What are the measures?
a. 30°, 45°, 105°
b. 40°, 60°, 80°
c. 36°, 54°, 90°
d. 35°, 55°, 90°
b. 40°, 60°, 80°
Find the base of a parallelogram if its area is 150 square units and height is 15 units.
A transversal cuts two lines and forms eight angles. Which pairs are always congruent if the lines are parallel?
a. Consecutive interior angles
b. Alternate interior & vertical angles
c. Adjacent angles
d. Same-side exterior angles
(Draw a correct diagram for extra points)
b. Alternate interior & vertical angles
Written Response: Three points A(2, 3), B(6, 7), and C(4, 11) form a triangle.
What is the area of triangle ABC?
(Graph it or use coordinate formula -correctly- for extra points)
12 square units.
Written Response: A triangle has side lengths 7 cm, 24 cm, and 25 cm.
Prove whether this triangle is a right triangle. Show your work and explain why or why not.
Yes, this is a right triangle. (Pythagorean Theorem)
Written Response: Two parallel lines are cut by a transversal. One of the angles formed is 65°.
Find all the types of angles that are also 65°, name them (using angle relationships), and explain why.
(Drawing a picture/diagram is suggested)
When two parallel lines are cut by a transversal, angle relationships form. If one angle is 65°, then:
→ So, four different types of angles are 65°: vertical, corresponding, alternate interior, and alternate exterior.
Teams may earn partial credit for the amount of correct terms they identify in their answer. For example, 1 correct term - 1/4 credit. 4 correct terms - 1 credit. Explanations must be clear and include vocabulary -which is correct- and appropriate for their response.
The height and the base of a parallelogram are in the ratio 5 : 6. If the area of the parallelogram is 1080 sq. cm. Determine its height and base.
(Draw a correct picture/show work for extra points)