∠GBM and ∠FBC
∠CBX and ∠FBC
∠XBG and ∠FBC
∠MBY and ∠FBC
2. The measure of ∠3 is 101°. Find the measure of ∠1.
3. Is line l parallel to line m? Explain.
Note: Not drawn to scale.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
4. Identify the pair of angles as corresponding, alternate interior, both, or neither.
5. ∠Q ∠S and . Select the correct congruence statement for the two triangles. What rule proves the congruence?
ΔQPR ΔRTS; ASA
ΔQPR ΔSTR; ASA
ΔQPR ΔSTR; SAS
ΔQPR ΔRTS; SSS
6. Classify the triangle by its sides and angles.
7. Find the sum of the interior angles of a nonagon. (1 point)
8. Find the measure of each interior angle of a regular octagon. (1 point)
9. Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. (1 point)
10. Identify the sequence of transformations that maps quadrilateral ABCD onto quadrilateral A”B”C”D”.
180° rotation around the origin; reflection over the x-axis
Translation (x, y) (x – 2, y + 0); reflection over the line x = –1
Enlargement; reflection over the y-axis
Reflection over the x-axis; reduction
Note: Your teacher will grade your response to question 11 to ensure that you receive proper credit.
11. Write a sequence of transformations that maps triangle ABC onto triangle A”B”C”.