GEOM A, U7L3: Proving That a Quadrilateral Is a Parallelogram

Find the sum of the measures of the interior angles of the figure..

B. 720°

The sum of the measures of two exterior angles of a triangle is 264°. What is the measure of the third exterior angle?

B. 96°

Complete this statement: A polygon with all sides the same length is said to be _____.

B. equilateral

How many sides does a regular polygon have if each exterior angle measure 72°?

C. 5

Find the value of x. The diagram is not drawn to scale.

C. x = 99°

Complete the two-column proof. 2. ____ | 6. Given. 3. ____ | 7. ____ 4. VUTS is a parallelogram. | 8. ____

2. SV || TU. 3. SV = TU. 7. CPCTC. 8. def of parallelogram.

What are the missing? 3. ____ 4. ____ 5. ____ 6. ____

3. definition of parallelogram. 4. alternate interior angles. 5. reflexive property. 6. ASA

A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth.

A. 128.6°

In the figure, the horizontal lines are parallel and AB = BC = CD. Find the measure of JM. The diagram is not drawn to scale.

B. 21

Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification.

D. Yes, both pairs of opposite sides are congruent.