Similar Triangles and Direct Measurement

Are the triangles similar?

• Yes

• No

Find side length X.

• 16

• 18

• 2.4

• 15

Tell whether the triangles are similar.

• Yes; the triangles are similar because the angles are equal and the sides are proportional.

• Yes; the triangles are similar because the angles and sides are proportional

• No; the triangles are not similar because the angles are not equal and the sides are not proportional.

• No; the triangles are not similar because the angles are equal but the sides are not proportional.

ΔABC∼ΔXYZ. Find the unknown measures.

• d = 25.5^o; z = 25 m

• d = 64.5^o; z = 9 m

• d = 64.5^o; z = 25 m

• d = 25.5^o; z = 9 m

Redon is 6 ft 2 in. tall, and his shadow is 4 ft 1 in. long. At the same time, a building casts a shadow that is 19 ft 10 in. long. What is the height of the building? Round to the nearest foot.

• 360 in

• 30 ft

• 2 ft

• 30 in

Identify the tables scale factor.

• ¹/₁₄

• 14

• 0.7

• ^39.2/_2.8

A photograph of Rene Magritte's painting The Schoolmaster has dimensions 5.4 cm and 4 cm. The scale factor is ¹/₁₅. Find the size of the actual painting.

• 81 cm; 60 cm

• 0.09 cm; 0.05 cm

• 11.1 cm; 20.25 cm

• 0.36 cm; 0.27 cm

________________ figures are figures that have the same shape but not necessarily the same size.

• Congruent

• Similar

• Corresponding Angles

• Corresponding Sides

________________ is a ratio used to enlarge or reduce similar figures.

• Scale Factor

• Scale Drawing

• Scale Model

• Scale

Find the height of the flagpole

• 15

• 13

• 11

• 17