Question

1. find the area of the polygon pictured at the right.
2. a. accurately draw δabc where m∠a = 40°, m∠b = 50°, m∠c = 90°.

b. will all triangles with these dimensions be congruent? justify your answer.
summer math skills sharpener - prealgebra © 2022 tri - c publications, in

Explanation:

Step1: Divide polygon into simpler shapes

Divide into rectangles and triangles.

Step2: Calculate areas of sub - shapes

For rectangles and triangles using area formulas.

Step3: Sum up areas

Add areas of all sub - shapes.

Step1: Use protractor to draw

Use protractor to draw angles of 40°, 50° and 90°.

Step2: Analyze congruence

By AA (angle - angle) similarity, not congruent as side lengths can vary.

Answer:

14