Rigid Transformations
Congruent
Triangles & Angle Measures
Angles & Parallel Lines
100
What type of transformation slides a figure a given distance in a given direction?
Translation
100
If two shapes are congruent, they have the same ______ and same ______.
Size and Shape
100
All three angles inside a triangle add up to this many degrees.
180°
100
True or False
Vertical angles are always congruent.
True
200
True or false?
Reflecting a shape over a line and then reflecting it over the same line, the shape returns to its original position.
True
200
If angle a is 54 degrees, then the measure of angle b is ______.
54 degrees
200
A triangle has angles of 30° and 60°. Find the third angle.
90°
200
How many degrees is in a straight line?
180°
300
What transformation involves turning a figure by a fixed number of degrees, a fixed direction, and around a fixed point?
Rotation
300
If you rotate a triangle 90°, is the new triangle congruent to the original? Why?
Yes, because rotation is a rigid transformation
300
A right triangle has one acute angle of 40°. What is the other acute angle?
50°
300
what does supplementary angles mean
Two angles whose measures sum to exactly 180°
.
400
Name the transformation that “flips a shape over an imaginary line.”
Reflection
400
Name one way to check if two shapes are congruent without measuring every side.
Use tracing paper to see if one fits exactly on the other
400
Two angles of a triangle are equal. The third angle is 100°. Find the measure of the equal angles.
40° each
400
Two parallel lines are cut by a transversal.
One of the corresponding angles measures 75°.
What is the measure of the other corresponding angle?
A) 15°
B) 75°
C) 105°
D) 180°
B) 75°
500
Describe a sequence of two transformations that would move a shape from Quadrant I to Quadrant III without using a translation.
Rotate 180° around the origin or reflect over the x-axis and then the y-axis.
500
Triangle ABC has vertices at A(2, 3), B(4, 3), and C(3, 6).
Triangle DEF has vertices at D(–2, –3), E(–4, –3), and F(–3, –6).
Which single transformation maps triangle ABC onto triangle DEF?
A) Translation 4 units left and 6 units down
B) Reflection over the x‑axis
C) Rotation 180° about the origin
D) Reflection over the y‑axis
C) Rotation 180° about the origin
500
In triangle PQR, angle P = 35° and angle Q = 85°.
What type of triangle is triangle PQR?
A) Acute triangle
B) Right triangle
C) Obtuse triangle
D) Equilateral triangle
A) Acute triangle
500
Lines m and n are parallel. They are cut by a transversal t.
∠1 = 5x + 15
∠2 = 3x + 35
∠1 and ∠2 are corresponding angles.
What is the value of x?
A) 5
B) 10
C) 20
D) 25
B) 10