Polygon Angles and Tessellations: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

What is the sum of the interior angles of a convex pentagon?

Answer choices for question 1 A $360^\circ$ B $720^\circ$ C $540^\circ$ D $900^\circ$
2

How many triangles does a convex nonagon form when every diagonal from one vertex is drawn?

Answer choices for question 2 A $7$ B $6$ C $8$ D $9$
3

An interior angle of a convex polygon measures $112^\circ$ . What is its exterior turn?

Answer choices for question 3 A $112^\circ$ B $248^\circ$ C $22^\circ$ D $68^\circ$
4

A convex polygon has eleven sides. What is the sum of exactly one exterior turn at every vertex, following its boundary in one direction?

Answer choices for question 4 A $180^\circ$ B $360^\circ$ C $1620^\circ$ D $1980^\circ$
5

What is one exterior turn of a convex regular octagon?

Answer choices for question 5 A $135^\circ$ B $45^\circ$ C $60^\circ$ D $22.5^\circ$
6

What is one interior angle of a convex regular hexagon?

Answer choices for question 6 A $60^\circ$ B $720^\circ$ C $90^\circ$ D $120^\circ$
7

A convex regular polygon has twenty sides. What is one exterior turn?

Answer choices for question 7 A $18^\circ$ B $20^\circ$ C $162^\circ$ D $9^\circ$
8

A convex regular polygon has an exterior turn of $30^\circ$ . How many sides does it have?

Answer choices for question 8 A $6$ B $30$ C $12$ D $150$
9

How many congruent squares meet at each vertex of a regular square tessellation?

Answer choices for question 9 A $4$ B $2$ C $3$ D $6$
10

How many congruent equilateral triangles meet at each vertex of their regular tessellation?

Answer choices for question 10 A $3$ B $4$ C $8$ D $6$
11

Three regular pentagon corners, each $108^\circ$ , meet without overlapping near a shared vertex. How large is the unfilled angle there?

Answer choices for question 11 A $72^\circ$ B $108^\circ$ C $36^\circ$ D $324^\circ$
12

Why can every diagonal from a chosen vertex of a convex polygon be used in an interior fan triangulation?

Answer choices for question 12 A All diagonals of every simple polygon lie inside. B Convexity keeps the diagonals inside, and they meet only at the chosen vertex. C The polygon must have equal side lengths. D The diagonals must all have equal lengths.