91Ó°ÊÓ

Draw a triangle that satisfies the conditions stated. If no triangle can satisfy the conditions, write not possible. a. An acute isosceles triangle b. A right isosceles triangle c. An obtuse isosceles triangle

For each polygon, find (a) the interior angle sum and (b) the exterior angle sum. Pentagon

Draw a triangle that satisfies the conditions stated. If no triangle can satisfy the conditions, write not possible. a. An acute scalene triangle b. A right scalene triangle : c. An obtuse scalene triangle

Look for a pattern and predict the next two numbers in each sequence. $$10,12,16,22,30, \dots$$

The face of a honeycomb consists of interlocking regular hexagons. What is the measure of each angle of these hexagons?

Sketch the polygon described. If no such polygon exists, write not possible. A quadrilateral that is equilateral but not equiangular

Accept the two statements as given information. State a conclusion based on deductive reasoning. If no conclusion can be reached, write none. There are three sisters. Two of them are athletes and two of them like tacos. Can you be sure that both of the athletes like tacos? Do you reason deductively or inductively to conclude the following? At least one of the athletic sisters likes tacos.

The sum of the measures of the interior angles of a polygon is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?

The measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have?

Write the reasons to complete the proof: If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel. Given: Transversal \(t\) cuts lines \(l\) and \(n\) $$ \angle 2 \cong \angle 1 $$ Prove: \(l \| n\)