Geometry EOC Review 2

An artist rendering for the Hapbee Honey Company logo is on a 24" x 36" canvas. The company wants to use the logo on a postcard and is determining the size of the logo based on the difference of mailing costs. According to the United States Postal Service, mailing costs are determined using the information in the table. What is the maximum length of the postcard if it is similar to the original rendering and falls within the First-Class Mail® Postcards dimensions?

An artist rendering for the Hapbee Honey Company logo is on a 24" x 36" canvas. The company wants to use the logo on a postcard and is determining the size of the logo based on the difference of mailing costs. According to the United States Postal Service, mailing costs are determined using the information in the table. What is the maximum width of the postcard if it is similar to the original rendering and falls within the First-Class Mail® Stamped Large Postcards dimensions?

Polygons ABCDE and A'B'C'D'E' are similar and shown.

If m∠A' = 103°, what is the measure of angle A?

Polygons ABCDE and A'B'C'D'E' are similar and shown.

If m∠D = 97°, what other angle has a measure of 97°?

Polygons ABCDE and A'B'C'D'E' are similar and shown.

Find the value of x if DC = 2x + 1.5, D'C' = 5.1 and $$\frac{BC}{B'C'}=\frac{1}{3}$$ .

Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is similar to Figure 𝐿𝐾𝐽𝐼𝐻𝐹𝑀 with a scale factor of 0.5. Assume that the measure of angle 𝐵 within Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is 90°. If point 𝐹 is located at the origin and line segments 𝐸𝐹 and 𝐶𝐷 are vertical and line segments 𝐺𝐹 and 𝐷𝐸 are horizontal, determine possible coordinates of each of the points, except points 𝐴 and 𝐵, on Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺.

Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is similar to Figure 𝐿𝐾𝐽𝐼𝐻𝐹𝑀 with a scale factor of 0.5. Assume that the measure of angle 𝐵 within Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is 90°. What is the perimeter of Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺?

Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is similar to Figure 𝐿𝐾𝐽𝐼𝐻𝐹𝑀 with a scale factor of 0.5. Assume that the measure of angle 𝐵 within Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is 90°. What is the length of segment 𝐷𝐸?

Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is similar to Figure 𝐿𝐾𝐽𝐼𝐻𝐹𝑀 with a scale factor of 0.5. Assume that the measure of angle 𝐵 within Figure 𝐴𝐵𝐶𝐷𝐸𝐹𝐺 is 90°. What is the perimeter of triangle 𝐴𝐶𝐺?

Triangles $$\triangle ABC$$ and $$\triangle DEF$$ are shown where $$\angle A \cong \angle D$$ , $$\angle C \cong \angle F$$ , and $$AC \cong DF$$ . Determine whether the triangles are congruent.