Geometry Homework

Geometry Homework Mr. Lovemore

Monday, March 02, 2020 Due Friday March 06, 2020

Application of Pythagorean Theorem: Problem Solving

Use the Pythagorean Theorem concept a2+b2 = c2 in solving the problems below.

1. An inclined ramp rises 4 meters over a 2. According to the diagram, what is the altitude of

horizontal distance of 9 meters. How long the airplane?

is the ramp?

3. Given the figure below, determine the length

of the stair that is leaning the building.

B) Using the trigonometric ratios (SOH-CAH-TOA) to solve the following problems:

sin A=

cos A= tan A= SOH CAH TOA

4. What is the height of the flagpole in the 5. What is the height of the kite from the ground?

Figure below?

5. Use the trigonometric ratios to find the measures 6. What is the measure of angle B in the given

of the acute angles A of the right triangle shown. figure below:

C) Triangle Similarity

7. A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?

(x)

(160 cm)

(90 cm) (360 cm)

D) Triangle Congruence ( ASA, SAS, SSS, SAA and HL)

For each pair of triangles, tell which postulates, (SSS, ASA, SAS, SAA or HL) if any, make the triangles congruent.

8. ABC EFD______________9. ABC CDA ______________

(CADB) (CABDFE)

10. MAD MBC ______________11. ABE CDE ______________

(ABECD) (DACBM)