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    G9 - Activity - 7D Math Grade 9

    Uploaded by

    Trina Pamaran
    1. The document provides 10 pairs of triangles and asks to determine if they are similar or not similar based on having congruent included angles. It also asks to find the scale factor if similar and lengths of sides if given one length. 2. Problems 11-14 ask to use proportions to find unknown side lengths or distances given similar right triangles formed by buildings, shadows, and the pond diagram. 3. The final problem asks to use similar right triangles formed by the diagram to determine the distance d across the pond, given measurements of parts of the triangles.

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    G9 - Activity - 7D Math Grade 9

    Uploaded by

    Trina Pamaran
    25 views2 pages
    1. The document provides 10 pairs of triangles and asks to determine if they are similar or not similar based on having congruent included angles. It also asks to find the scale factor if similar and lengths of sides if given one length. 2. Problems 11-14 ask to use proportions to find unknown side lengths or distances given similar right triangles formed by buildings, shadows, and the pond diagram. 3. The final problem asks to use similar right triangles formed by the diagram to determine the distance d across the pond, given measurements of parts of the triangles.

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    G9_Activity_7D Math Grade 9

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    1. The document provides 10 pairs of triangles and asks to determine if they are similar or not similar based on having congruent included angles. It also asks to find the scale factor if similar and lengths of sides if given one length. 2. Problems 11-14 ask to use proportions to find unknown side lengths or distances given similar right triangles formed by buildings, shadows, and the pond diagram. 3. The final problem asks to use similar right triangles formed by the diagram to determine the distance d across the pond, given measurements of parts of the triangles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    25 views2 pages

    G9 - Activity - 7D Math Grade 9

    Uploaded by

    Trina Pamaran
    1. The document provides 10 pairs of triangles and asks to determine if they are similar or not similar based on having congruent included angles. It also asks to find the scale factor if similar and lengths of sides if given one length. 2. Problems 11-14 ask to use proportions to find unknown side lengths or distances given similar right triangles formed by buildings, shadows, and the pond diagram. 3. The final problem asks to use similar right triangles formed by the diagram to determine the distance d across the pond, given measurements of parts of the triangles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Activity 7D

    State whether each pair of triangles is "similar" or "not similar". Write the scale factor
    if they are similar. Assume that the included angle for each pair of triangles have
    congruent included angles.
    1. 2.

    8m 24 m 8 in. 12 in.

    6m 18 m 12 in. 18 in.

    3. 4.

    8m
    6 cm 8 cm 4m

    9 cm 12 cm 9m 18 m

    Triangles ABC and DEF are similar.


    Find the indicated length. Round to the nearest tenth.

    5. Find side AC. 6. Find side BC.


    E
    B E
    25 cm
    5 cm 6 cm B 20 in.

    A C D F A 4 in. C D F
    20 cm 28 in.

    7. Find side DE. 8. Find side DE.


    11 ft C D 24 ft F
    C A
    F
    8m 10 ft
    6m
    B
    A B D E E
    9m

    9. Find the height of triangle ABC. 10. Find the height of triangle DEF.
    E
    F B
    C 10 in 9m 13 m
    4 in 12 in 11 m

    A B D E A C D F
    11. ΔLMN ~ ΔPQR. What is the length of d? 12. ΔABC ~ ΔXYZ. What is the length of x?

    2 ft. P d B
    L R
    80° N 80° Y

    6 ft.
    25 in. x 8 in.
    35°
    30 ft. 20 in.
    51° 75°
    35°
    M X Z
    51° 75°
    A C
    Q

    Use a proportion to solve each problem.

    13. Two buildings stand side by side. The shorter


    building is 60 feet high and casts a shadow of 48 feet.
    At the same time of day, the taller building casts h
    60
    a shadow of 80 feet. What is the height (h) of the ft.
    taller building? (Hint: Similar triangles are formed
    by the buildings, the ground, and the dotted lines
    that represent the sun’s rays.)

    48 ft.
    80ft.

    14. To measure the distance (d) across Uja Pond, Luis


    measured off distances as shown below. Use this
    drawing to determine d. (Hint: The two triangles
    indicated in the drawing are similar because all
    three pairs of angles are equal.
    Here’s why: 4
    • Each has a right angle (90°). These
    angles are indicated by squares. Uja Pond
    • The angles labeled 1 and 2 are equal
    d
    because they are vertical angles.
    • The angles labeled 3 and 4 are also
    equal. If two triangles have two 5 yd. 2
    equal angles, the third angles are 1
    80 yd.
    equal because the sum of the angles 4 yd. 3
    in each triangle must total 180°.) (not to scale)

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