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- 1. Multiple Choice
Which illustration shows the correct construction of an angle bisector?
- 2. Multiple Choice
Which geometric principle is used to justify the construction?
A line perpendicular to one of two parallel lines is perpendicular to the other.
Two lines are perpendicular if they intersect to form congruent adjacent angles.
When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel.
When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.
- 3. Multiple Choice
In △ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is △ABC?
Right
Scalene
Isosceles
Equilateral
- 4. Multiple Choice
Natalie is playing with the pinwheel like the one shown in the picture above. Which degree of rotation would carry the pinwheel onto itself?
5°
125°
216°
225°
- 5. Multiple ChoiceWhat is the measure of angle b?36o56o63o117o
- 6. Multiple Choice
If ABCD is a parallelogram, which statement would prove a that ABCD is a rectangle?
∠ABC ≅ ∠CDA
AC ≅ BD
AC ⟂ BD
∠ABD ≅ ∠DBC
- 7. Multiple Choice
As shown in the diagram below, CD is a median of △ABC.
Which statement is always true?
AD ≅ DB
AC ≅ AD
∠ACD ≅ ∠CDB
∠BCD ≅ ∠ACD
- 8. Multiple Choice
Which transformation does not produce an image that is congruent to the original?
A dilation of scale factor 1 centered at (2,4)
A dilation of scale factor ½ centered at the origin
A reflection over y = 4x
A rotation of 270 degrees followed by a translation down 2
- 9. Multiple Choice
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.
What are the values of x and y?
x = 42 and y = 96
x = 69 and y = 69
x = 90 and y = 48
x = 96 and y = 42
- 10. Multiple Choice
Given: △ABD, BC is the perpendicular bisector of AD
Which statement cannot always be proven?
AC ≅ DC
BC ≅ CD
∠ACB ≅ ∠DCB
△ABC ≅ △DBC
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