Module 1
Which statement best describes the midpoint of a line segment?
A. The point that connects two line segments
B. The point that divides a segment into two equal parts
C. The longest point on a segment
D. The point at one end of a segment
B. The point that divides a segment into two equal parts
What is true about the slope of parallel lines?
The slope stays the same.
What is the transformation rule for reflection across the y-axis?
(x,y) -> (-x,y)
Triangle PQR is congruent to triangle STU. If m∠Q=50∘ and m∠R=60∘, what is m∠T?
70∘
In a triangle, one of the exterior angles measures 120°, and one of the remote interior angles measures 50°. What is the measure of the other remote interior angle?
60°
Point K is the midpoint of segment XY
The length of KY 7.25 meters.
What is the total length of XY?
14.5 meters
What is true about the slope of perpendicular lines?
The slope is the opposite reciprocal (Flip it and change the sign)
What is the transformation rule for rotation 90 degrees clockwise about the origin?
(x,y) -> (y,-x)
Triangle XYZ is congruent to triangle ABC.
If m∠Y=40∘ and m∠Z=75∘, what is m∠B?
65°
Which of the following could be the lengths of the sides of a triangle?
A. 3, 4, 8
B. 5, 7, 10
C. 2, 9, 12
D. 1, 6, 8
B. 5, 7, 10
Point M is the midpoint of segment AB. The length of MB is 9.6 meters.
What is the total length of AB?
19.2 meters
Two parallel lines are cut by a transversal. If one of the alternate interior angles measures 65°, what is the measure of the other alternate interior angle?
65°
Why does Dilation NOT preserve congruence?
It changes shape and size
Triangle ABC has sides:
AB=2x+5,
AC=11
BC=9
Triangle DEF is congruent to triangle ABC.
If the corresponding sides AB ≅ DE, what is the value of x?
3
Triangle ABC has sides AB=7, AC=5 , angle ∠A=60∘
Triangle DEF has sides DE=7, DF=5, angle ∠D=50∘.
According to the Hinge Theorem, which triangle has the longer third side?
Answer Choices:
A. Triangle ABC
B. Triangle DEF
C. Both have the same third side
D. Cannot be determined
A. Triangle ABC
If segment MN bisects segment AB at point C, which statements are true?
Select all that apply.
A. MC≅CN
B. AC≅CB
C. MC+CN=MN
D. C is the midpoint of AB
E. M, A, and B are collinear
B. AC≅CB
D. C is the midpoint of AB
Two parallel lines are cut by a transversal. If one of the consecutive interior angles measures 70°, what is the measure of the other consecutive interior angle?
110°
What are the rigid transformations?
Translation
Rotation
Reflection
A lifeguard stands at the corner of a rectangular pool. One swimmer is 8 meters directly in front of the lifeguard, and another swimmer is 6 meters directly to the right of the lifeguard.
Approximately how far apart are the two swimmers?
10 meters
In a triangle, a bisector divides an angle so that the two segments of the opposite side are proportional to the adjacent sides. If one segment measures 4x+6 cm and the other measures 3(x+4) cm, what is the value of x?
8
A quadrilateral has vertices
P(−3,4), Q(9,10) R(15,4), and S(−6,−2)
What is the perimeter of PQRS to the nearest tenth of a unit?
62.1 units
Triangle ABC has the side lengths shown:
AB=3x+2, BC=14, and AC=5x−4
If the triangle is isosceles with AB≅AC, what is the value of x?
B. 3
What does dilation look like on a coordinate rule?
(x,y) -> (hx,ky)
A security guard stands at the corner of a square plaza. One person is 9 meters straight ahead of the guard, and another person is 12 meters to the left of the guard.
Approximately how far apart are the two people?
15 meters
In a triangle, an angle bisector divides the opposite side into two segments. One segment measures 5x−3 cm, and the other measures 2x+9 cm. If the angle bisector divides the opposite side in a 1:1 ratio, what is the value of x?
x=4